Half-Supersymmetric Solutions in Five-Dimensional Supergravity
Jan B. Gutowski, Wafic A. Sabra
本文对N=2，D=5的规范超引力耦合到任意数量的阿贝尔向量多重态的半超对称解进行了系统分类，其中至少有一个Killing旋量产生类时Killing向量.
We present a systematic classification of half-supersymmetric solutions of gauged N=2, D=5 supergravity coupled to an arbitrary number of abelian vector multiplets for which at least one of the Killing spinors generate a time-like Killing vector.
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The Classification of Highly Supersymmetric Supergravity Solutions
旋量几何方法是构造超对称超引力解系统分类的有效方法。本文综述了近年来用这种方法分析IIB型超引力中高度超对称解的工作[arXiv：hep-th/0606049，arXiv：0710.1829]。结果表明，所有具有28个以上Killing旋量的IIB超引力超对称解都是局部极大超对称的。
Supersymmetric Brane World Scenarios from Off-Shell Supergravity
在五维空间中使用N=2的离壳超引力，我们超对称化了Randall和Sundrum的膜世界场景。我们扩展他们的建设，包括超对称物质的不动点。
Coupling supergravity to non-supersymmetric matter
通过引入一个非线性变换的Goldstino场，非超对称物质可以与超引力耦合。这意味着将一个带有希格斯粒子的标准模型与超引力耦合起来的可能性。
We determine the action for five-dimensional maximally supersymmetric Yang-Mills in off-shell supergravity backgrounds. The resulting theory contains novel five-dimensional BF type couplings as well as cubic scalar interactions which vanish in flat space.
Employing uplift formulae, we uplift supersymmetric $AdS_6$ black holes from $F(4)$ gauged supergravity to massive type IIA and type IIB supergravity. In massive type IIA supergravity, we obtain supersymmetric $AdS_6$ black holes asymptotic to the Brandhuber-Oz solution. In type IIB supergravity, we obtain supersymmetric $AdS_6$ black holes asymptotic to the non-Abelian T-dual of the Brandhuber-Oz solution. For the uplifted black hole solutions, we calculate the holographic entanglement entropy. In massive type IIA supergravity, it precisely matches the Bekenstein-Hawking entropy of the black …
Supersymmetric domain wall x G/H solutions of IIB supergravity
1-讨论了D=10手征超引力的膜非极大超对称解。在对偶框架中，它们的近膜几何是3维畴壁时空和7维齐次爱因斯坦空间G/H的乘积。
Quark-Monopole Potentials from Supersymmetric SL(3,R) Deformed IIB Supergravity
我们从IIB超重力背景的超对称SL（3，R）形变到N=4超杨-米尔斯理论的形变库仑支流，重新计算了夸克-夸克势.边缘形变加强了夸克和单极子之间的库仑吸引力。
We present a family of N=1 supersymmetric backgrounds in type-IIA supergravity and their lifts to eleven-dimensional supergravity. These are of the form $AdS_5 \times X^5$ and are characterised by an $SU(2)$ structure. The internal space, $X^5$, is obtained from the known Sasaki-Einstein manifolds, $Y^{p,q}$, via an application of non-Abelian T-duality.
D=6, N=2, F(4)-Supergravity with supersymmetric de Sitter Background
我们证明了对于D=6，N=2，F（4）超引力，存在一个超对称的de Sitter背景，它保持了紧的R对称性，并相对于传统的Anti de Sitter理论进行了规范化。我们构造了规范物质耦合F（4）de Sitter超引力，并证明了它在矢量扇区中包含鬼。
Supersymmetric webs of D3/D5-branes in supergravity
我们研究了IIB型超引力中的D3-和D5-膜网。这些网至少保存了8个增压器。通过求解Killing旋量方程，我们确定了系统的超引力解的形式。然后，我们转向交叉D3/D5膜系统的子类，并阐明它的一些特征。
We characterize all the supersymmetric configurations and solutions of minimal N=(1,0), d=6 supergravity coupled in the most general gauge-invariant way to an arbitrary number of tensor and vector multiplets and hypermultiplets.
We investigate the possibility of writing a manifestly supersymmetric action for 11-dimensional supergravity. The construction involves an explicit relation between the fields in the super-vielbein and the super-3-form, and uses non-minimal pure spinors. A simple cubic interaction term for a single scalar superfield is found.
A New Supersymmetric Compactification of Chiral IIB Supergravity
我们提出了一个新的手征N=2的10维超引力到5维的紧化，并证明了它对应于在[KPW]中发现的5维N=8规范超引力的N=2超对称临界点.这里给出的解具有特殊的意义，因为它涉及非零张量规范场，并且通过AdS/CFT对应，与N=4的杨-米尔斯理论的非平凡N=1超对称不动点是对偶的。
We analyze general N = 2 supersymmetric AdS4 solutions of type IIB supergravity. Utilizing a set of pure spinor equations directly adapted to N = 2, the necessary and sufficient conditions for supersymmetry are reduced to a concise system of partial differential equations for two functions which determine the solutions. We show that using this system analytic solutions can be generated, thus potentially expanding the rather limited set of known AdS4 solutions in type IIB supergravity.
All supersymmetric solutions of minimal supergravity in five dimensions
对五维空间中最小超引力的纯玻色超对称解进行了分类。这些解保持了一半或全部的超对称性。新的解决方案的明确的例子，包括一个大家庭的平面波前波和最大超对称类似的哥德尔宇宙的电梯到一个解决方案的11维超引力，保持20个超对称。
N=1 supersymmetric solutions of IIB supergravity
本文提出了一类新的IIB超引力"介电" N = 1超对称解。这个类不仅包含了Leigh-Strassler重整化群流的10维提升，而且还包含了这个流的库仑分支变形，在这个变形中，膜可以以径向对称的方式展开，保持SU（2）的整体对称性。我们使用的"代数杀旋量"技术，说明它可以适应N = 1超对称流。
We present a systematic classification of counterterms of four-dimensional supersymmetric field theories on curved space, obtained as the rigid limit of new minimal supergravity. These are supergravity invariants constructed using the field theory background fields. We demonstrate that if the background preserves two supercharges of opposite chirality, then all dimensionless counterterms vanish, implying that in this case the supersymmetric partition function is free of ambiguities. When only one Euclidean supercharge is preserved, we describe the ambiguities that appear in the partition funct…
All supersymmetric solutions of minimal supergravity in six dimensions
得到了六维空间中最小超引力超对称解的一般形式。新的超对称解决方案的例子。证明了唯一的最大超对称解是平坦空间、AdS_3 × S^3和平面波。作为一般解的应用，证明了任何具有紧视界的超对称解必须具有近视界几何R^{1，1} x T^4，R^{1，1} x K3或恒等AdS_3 x S^3.
The General Supersymmetric Solution of Minimal Massive Supergravity
本文研究三维最小有质量超引力，通过分析Killing旋量方程得到其最一般超对称解为带类光Killing矢量场的平面波，还发现零扭曲AdS₃空间及对应黑洞子类，推进了三维超引力理论研究。
In this thesis we study maximally supersymmetric solutions of gauged supergravity theories, with special focus on anti-de Sitter solutions. The latter are relevant in the context of the AdS/CFT correspondence. In the first part we classify all maximally supersymmetric solutions of all gauged or deformed supergravity theories in $D \geq 3$ space-time dimensions. In the second part we exclusively study maximally supersymmetric AdS$_D$ solutions of gauged supergravities in dimensions $D \geq 4$. We discuss the structure of the allowed gauge groups as well as possible supersymmetry preserving defo…
General Supersymmetric Solutions of Five-Dimensional Supergravity
完成了hep-th/0401129中提出的五维规范超引力与任意多个阿贝尔向量多重态耦合的1/4超对称解的分类。在规范理论和非规范理论下，研究了由Killing旋量构造的Killing向量为零的所有解的结构，并构造了一些新的解.
Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
我们发现一个完整的表征的所有超对称解的非阿贝尔规范N=1，d=5超引力耦合到矢量多重和超多重：一般形式的度量的函数的标量和矢量场加上方程，所有这些必须满足。这些方程现在是一个复杂的非线性系统，似乎不可能产生一个算法来系统地构造所有的超对称解。
In this note, we describe supersymmetric backgrounds for the four-dimensional maximally supersymmetric Yang-Mills theory. As an extension of the method of Festuccia and Seiberg to sixteen supercharges in four dimensions, we utilize the coupling of the gauge theory to maximally extended conformal supergravity. Included among the fields of the conformal supergravity multiplet is the complexified coupling parameter of the gauge theory; therefore, backgrounds with spacetime varying coupling--such as appear in F-theory and Janus configurations--are naturally included in this formalism. We demonstra…
Action with Manifest Duality for Maximally Supersymmetric Six-dimensional Supergravity
我们执行明确的11维超引力到6维的环面紧化，并提出了一个明显的$SO(5,5)\over SO(5)\times SO(5)$不变的形式，使用最近提出的协变公式的手征场理论的作用。
Motivated by the AdS_6/CFT_5 correspondence, we study general supersymmetric solutions of massive type IIA supergravity, consisting of a warped product of six-dimensional anti-de Sitter space AdS_6 with a four-dimensional Riemannian manifold M_4, and fluxes compatible with the SO(5,2) symmetry. We find that the only local solution of this form is the warped AdS_6 x_w S^4 solution, originally discovered by Brandhuber and Oz. We discuss the supersymmetric properties of this solution.
New D=6, N=(1,1) Gauged Supergravity with Supersymmetric (Minkowski)_4 X S^2 Vacuum
通过对K ~ 3 \times R上M理论的广义相容Kaluza-Klein约化，得到了一个新的规范D=6，N=（1，1）的纯超引力.减少需要一个阴谋测量的Cremmer-Julia型全球（刚性）对称性和齐次重标度对称的超引力运动方程。规范超引力与罗马人的D=6规范超引力的不同之处在于，我们新理论中的四个矢量场都是阿贝尔的。我们证明了它存在一个超对称的（Minkowski）_4 \times S^2真空，这个真空可以提升到D=11，在那里它变成了两个相交的M5-膜包裹在K3的超对称双圈上的近视界几何。
Motivated by recent interest in applications of the AdS/CFT correspondence to condensed matter applications involving fermions, we present the supersymmetric completion of the recent massive truncations of IIB supergravity on Sasaki-Einstein manifolds. In particular, we reduce the fermionic sector of IIB supergravity to obtain five dimensional N=2 supergravity coupled to one hypermultiplet and one massive vector multiplet. The supersymmetry transformations and equations of motion are presented and analyzed. Finally, a particularly interesting truncation to N=2 supergravity coupled to a single …
Partition function of non-supersymmetric black holes in the supergravity limit
本文提出了在超引力极限下3重Calabi-Yau上IIA（B）型超弦中产生的一般\emph{non-supersymmetric}黑洞吸引子的自由能。根据定义，这与其对应物BPS自由能相差$4 $倍。相应地，提出了这些黑洞的混合系综。
We study supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}$ = 8 supergravity. We mostly find Janus solutions flowing to 3d $\mathcal{N}$ = 8 SYM phase which is the worldvolume theory on D2-branes and non-conformal. There are also solutions flowing from the critical points which are dual to 3d SCFTs from deformations of the D2-brane theory.
We construct, at the linearized level, the three-dimensional (3D) N = 4 supersymmetric "general massive supergravity" and the maximally supersymmetric N = 8 "new massive supergravity". We also construct the maximally supersymmetric linearized N = 7 topologically massive supergravity, although we expect N = 6 to be maximal at the non-linear level.
Chiral supersymmetric pp-wave solutions of IIA supergravity
我们描述的解决方案IIA型（N=2，D=10）超引力的假设下，存在至少一个剩余手征超对称。它们的几何形状是PP波型。明确参数化的度量和物质场的组成部分，在杀害旋量和任意函数，提供。
We study AdS backgrounds of N=4 supergravity in four space-time dimensions which preserve all sixteen supercharges. We show that the graviphotons have to form a subgroup of the gauge group that consists of an electric and a magnetic SO(3)_+ x SO(3)_-. Moreover, these N=4 AdS backgrounds are necessarily isolated points in field space which have no moduli.
Supersymmetric warped product dS4 solutions in D=11 supergravity are classified. The Killing spinor is associated with two possible stabilizer groups, SU(3) and G_2. We show that there are no solutions to the Killing Spinor equations in the G_2 stabilizer case. For the SU(3) stablilzer case, all of the conditions imposed from supersymmetry on the 4-form flux, and the geometry of the internal manifold, are determined in terms of SU(3) invariant spinor bilinears.
Supersymmetric E_{8(+8)} / SO(16) Sigma-Model Coupled to N=1 Supergravity in Three-Dimensions
在陪集E_{8(+8)} / SO（16）上构造了一个具有超对称西格玛模型的三维简单N=1超引力理论.物质多重态中的玻色子和费米子都在SO（16）的旋量128表示中，具有相同的手征。由于它们具有共同的手征性，该模型不能从最大N=16的超引力中得到。通过引入一个独立的向量多重态，我们也可以用一个Chern-Simons项来规范SO（16）的任意子群。对于陪集F_{4(-20)} / SO（9）和SO（8，n）/ SO（8）× SO（n），也构造了类似的N=1超对称σ模型.
The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
本文对N=2，d=4的无规范超引力与n个矢量多重态耦合的超对称组态进行了分类，并确定了在何种条件下它们也是运动方程的经典解。超对称的配置分为两类，这取决于类时或零性质的Killing矢量构造从Killing旋量双线性。类时的类组态基本上是由Behrndt、Luest和Sabra发现的，它们穷尽了这类组态，并且包含了超对称黑洞。空类组态包括pp波和宇宙弦。
We give a linearized but otherwise complete supersymmetric action for ${\cal N}=(4,0)$ supergravity in six dimensions, using a Kaluza-Klein-type $5+1$ split of coordinates and fields. We provide in particular a significantly simplified version of the bosonic action derived by us recently. This formulation employs fields that are no longer irreducible, subject to a local Lorentz invariance, which in turn simplifies the supersymmetry transformations including the exotic gravitino.
On a supersymmetric completion of the $R^4$ term in type IIB supergravity
利用超场方法研究了IIB型超引力中$R^4$项的超对称完备性问题。我们表明，虽然有一个障碍，以构建完整的行动，在行动中的一个子集的条款可以一贯独立于其他条款进行分析，这些可以从超场。我们发现完整的IIB型行动涉及的曲率和五种形式的场强。
Recently a new supersymmetric extension of the KdV hierarchy has appeared in a matrix-model-inspired approach to $2{-}d$ quantum supergravity. Here we prove that this hierarchy is essentially the KdV hierarchy, where the KdV field is now replaced by an even superfield. This allows us to find the conserved charges and the bihamiltonian structure, and to prove its integrability. We also extend the hierarchy by odd flows in a supersymmetric fashion.
Supersymmetric Self-Dual Yang-Mills and Supergravity as Background of Green-Schwarz Superstring
本文提出了四维时空中耦合到$N=1$ { \it {supersymmetric}} Yang-Mills和超引力的Green-SchwarzPDMATHABMM模型，该模型具有不定签名$(+,+,-,-)$ .我们首先确认了Green-Schwarz作用量的$\k\-$不变性，并表明背景的所有$\b\-$函数在使用其超场方程后一致消失。随后，我们检查了超对称{ \it自对偶}条件，在我们以前的论文中已经开发的杨米尔斯和超引力背景。值得注意的是，规定{ \it超对称自对偶}条件的Majorana-Weyl旋量与Green-Schwarz超弦的耦合是一致的。这样的Green-Schwarz超弦被认为是{ \it超对称自对偶} Yang-Mills理论的基础理论，该理论被证明可以生成低维的{ \it all}精确可解的超对称系统.
On supersymmetric solutions in D = 11 supergravity with Ricci-flat internal spaces
介绍了D= 11超引力中定义在Ricci平坦空间乘积上的超对称解。本文包含一些背景信息：（i）超对称方程的分解关系和（ii）2^{-k}-分裂定理，它解释了N = 2^{-k}分数超对称的出现。本文给出了两个Ricci平坦空间乘积上的M2和M5膜的例子，并给出了不间断超对称性的（分数）个数的计算公式。
We study maximally supersymmetric solutions of all gauged or deformed supergravity theories in $D \ge 3$ space-time dimensions. For vanishing background fluxes the space-time background has to be either Minkowski or anti-de Sitter. We derive a simple criterion for the existence of solutions with non-trivial fluxes and determine all supergravities that satisfy it. We show that their solutions coincide with those of the corresponding ungauged theories and conclude that the known list of maximally supersymmetric solutions is exhaustive.
We discuss various aspects of rigid supersymmetry within minimal N=1 off-shell supergravity using the old and new minimal formulations both in Lorentzian and Euclidean signatures. In particular, we construct all rigid supersymmetry backgrounds with a hypersurface orthogonal Killing vector. In the Lorentzian signature we show that AdS_4 provides a rigid supersymmetric background in both formulations albeit with different amounts of preserved supersymmetry. In the Euclidean signature we find new backgrounds of the old-minimal supergravity, including squashed four-spheres and a half-BPS version o…
The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity
我们找到了N=1，d=4的无规范超引力耦合到任意数量的矢量和手征超多重态的最一般的超对称解，它们本质上是pp波和弦。我们还介绍了磁1-形式及其超对称变换和2-形式与标量流形的等距及其超对称变换。只有后者可以耦合到BPS对象（字符串），与我们的结果一致。
Recently, a non-relativistic off-shell formulation of three dimensional Newton-Cartan supergravity was proposed as the $c \rightarrow \infty$ limit of three dimensional $\mathcal{N}=2$ supergravity in arXiv:1505.02095. In the present paper we study supersymmetric backgrounds within this theory. Using integrability constraints for the non-relativistic Killing spinor equations, we explicitly construct all maximally supersymmetric solutions, which admit four supercharges. In addition to these solutions, there are $\frac{1}{2}$-BPS solutions with reduced supersymmetry. We give explicit examples of…
Maximally supersymmetric G-backgrounds of IIB supergravity
我们分类的所有超对称IIB背景，承认$G$不变的Killing旋量的最大数量的几何。对于紧致稳定子群$G=G_2, SU(3)$和SU（2），时空局部等距于$X_n\times Y_{10-n}$与$n=3,4,6$的乘积，其中$X_n$是$n$维超引力理论的最大超对称解，而$Y_{10-n}$是具有完整性$G$的黎曼流形.对于非紧稳定子群$G=K\ltimes\bR^8$，$K=Spin(7)$，SU（4），$Sp(2)$，$SU(2)\times SU(2)$和$\{1\}$，时空是一个在具有完整性$K$的八维流形中传播的pp波.我们发现了IIB超引力的新的超对称pp波解。
Supergravity dressing of beta-functions in N=1 and N=2 supersymmetric models
本文讨论了N=1和N=2超对称理论下，单圈σ模型β函数的诱导超引力修饰。我们利用超共形规范参量得到了精确的结果，并在半经典极限下利用光锥规范中的显式微扰计算验证了这些结果。我们发现，对于N=2的理论有没有敷料的单圈β函数。
We determine the supersymmetric AdS_7 backgrounds of seven-dimensional half-maximal gauged supergravities and show that they do not admit any deformations that preserve all 16 supercharges. We compare this result to the conformal manifold of the holographically dual (1,0) superconformal field theories and show that accordingly its representation theory implies that no supersymmetric marginal operators exist.
We consider soliton solutions in AdS$_{4}$ with a flat slicing and Wilson loops around one cycle. We study the phase structure and find the ground state and identify supersymmetric solutions as a function of the Wilson loops. We work in the context of a scalar field truncation of gauged $\mathcal{N}=8$ supergravity, where all the dilatons are equal and all the axions vanish in the STU model. In this theory, we construct new soliton solutions parameterized by two Wilson lines. We find that there is a degeneracy of supersymmetric solutions. We also show that, for alternate boundary conditions, t…
We show that generic supersymmetric AdS_5 solutions of type IIB supergravity admit a canonical contact structure. This structure determines the central charge of the dual field theory and the conformal dimension of operators dual to supersymmetric wrapped D3-branes. Hence both quantities can be calculated using incomplete information about the solutions, allowing us to prove that they are rational numbers for solutions with a U(1) R-symmetry, in agreement with field theory expectations. We also discuss related Duistermaat-Heckman integrals and localization formulae.
We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space (AdS$_5$) with a five-dimensional Riemannian manifold $M_{5}$, where the five-form flux vanishes, while all remaining fluxes are allowed to be non-vanishing consistent with SO(4,2) symmetry. This completes the program of classifying all supersymmetric solutions of ten and eleven-dimensional supergravity with an AdS$_5$ factor. We investigate the supersymmetry conditions in some special cases, and demonstrate how these are satisfied by …
Generalizing the N=2 supersymmetric RG flow solution of IIB supergravity
我们明确地构造了手征IIB超引力N=2超对称RG流解的超对称变换。我们表明，度规，介子/轴子，五指数张量和一半的三个指数张量的代数确定的Killing旋量的未破缺超对称。的代数性质的解决方案，使我们能够推广到一类新的N=2的IIB超引力超对称解决方案的建设。这一类的每个解都是由超对称性代数决定的，并且由一个两个变量的函数参数化，该函数满足一个非线性方程，类似于横向于膜的空间上的拉普拉斯方程。
We determine and analyze maximally supersymmetric configurations in four-dimensional gauged N=2 supergravity, preserving eight supercharges. These models include arbitrary electric gaugings in the vector- and hypermultiplet sectors. We present several examples of such solutions and connect some of them to vacuum solutions of flux compactifications in string theory.
We construct supersymmetric Janus solutions using four-dimensional $N=3$ gauged supergravity with $SO(3)\times SU(3)$ gauge group. The $N=3$ supersymmetric $AdS_4$ vacuum with unbroken $SO(3)\times SU(3)$, identified with the compactification of eleven-dimensional supergravity on $AdS_4\times N^{010}$, provides a gravity dual of supersymmetric $N=3$ Chern-Simons-Matter theory in three dimensions with $SU(3)$ flavor symmetry. The Janus solutions accordingly describe supersymmetric conformal interfaces within this Chern-Simons-Matter theory via the AdS/CFT holography. We find two classes of Janu…
Supersymmetric AdS(4) compactifications of IIA supergravity
我们用SU（3）结构的语言给出了（大质量）IIA超引力到AdS（4）的N=1紧化的充要条件.我们发现新的解决方案，其特点是恒定的非零通量的所有形式的领域。所有的通量都是根据内部紧致空间的几何数据给出的。后者被限制为属于一类特殊的半平坦流形。
We construct supersymmetric solutions of three dimensional N = (1,1) General Massive Supergravity (GMG). Solutions with a null Killing vector are in general pp-waves. We identify those that appear at critical points of the model some of which do not exist in N = (1,1) New Massive Supergravity (NMG). In the timelike case, we find that many solutions are common with NMG but there is a new class that is genuine to GMG, two members of which are stationary Lifshitz and timelike squashed AdS spacetimes. We also show that in addition to the fully supersymmetric AdS vacuum, there is a second AdS backg…
A Stable Supergravity Dual of Non-supersymmetric Glue
我们研究了AdS/CFT对应的非超对称费米子质量和凝聚形变。5维的超重力流被提升到一个完整而非常简单的10维背景。膜探针分析表明，当所有的费米子有一个相同的质量产生的正质量的所有六个标量场离开非超对称杨米尔斯理论在深红外。我们用数值方法确定了与O^++胶球研究相关的薛定谔方程中背景产生的势。潜在的是一个有界的好，提供证据的稳定性和一个离散的，受限的频谱。这个几何也可以描述（不稳定的）模糊5-膜周围的超引力背景。
First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity
本文研究了在Calabi-Yau三重$CY_3$上紧化的对应于M理论的五维低能超引力理论中的吸引子机制。利用非常特殊的几何方法，我们导出了五维Gibbons-Hawking空间中BPS和非BPS解的一般一阶吸引子流方程。特别地，考虑超对称解，得到了超对称（多）黑环的一阶流动方程。我们还求解了流动方程，并讨论了流动方程解的一些性质。
N=2 supergravity in three dimensions and its Godel supersymmetric background
四维哥德尔时空的结构是M_3 × R。三维因子M_3是耦合到Maxwell-Chern-Simons理论的三维引力的精确解。我们在本文中建立了一个N=2的超引力扩展这个行动，并证明了哥德尔背景保持一半的所有超对称性。
A Supersymmetric Solution in N=2 Gauged Supergravity with the Universal Hypermultiplet
我们提出了超对称的解决方案，规范超引力理论在五维空间中通过测量的位移对称性的普遍超多重态的轴子。这个规范理论也可以通过在具有背景通量的卡-丘上对M理论进行三次降维而得到。所得到的解保留了N=2超对称性的一半，具有电场和代表CY体积的非平凡标量场。我们评论更一般的超多重态规范的可能解决方案。
In this paper we analyse non-supersymmetric single centred extremal black hole solutions in N=2 supergravity theory coupled to $n$ vector multiplets with purely cubic pre-potential in four dimensions. We consider the algebraic attractor equations in their most general form at the black hole horizon. We explicitly construct a new class of solutions for these attractor equations. These solutions are characterised by a set of involutory matrices. These involutions are obtained from a constraint involving the parameters in the pre-potential and generate new attractor points in the moduli space.
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