我们首先分类所有的超对称解的三维半极大无规范超引力，具有类时Killing矢量来自Killing旋量双线性，考虑他们的识别下的局部对称性的理论的复杂化。结果表明，只有保持$16/2^n, 1 \leq n \leq 3$实超对称性的解才是允许的.然后，我们分类超对称的解决方案下真正的局部对称性的理论，我们能够解决所有的运动方程。结果表明，所有这些解都可以表示为可积Liouville和SU（3）Toda系统解的直和.这完成了模型的所有超对称解的构造，因为零情况已经被解决。
英文摘要：
We first classify all supersymmetric solutions of the 3-dimensional half-maximal ungauged supergravity that possess a timelike Killing vector coming from the Killing spinor bilinear by considering their identification under the complexification of the local symmetry of the theory. It is found that only solutions that preserve $16/2^n, 1 \leq n \leq 3$ real supersymmetries are allowed. We then classify supersymmetric solutions under the real local symmetry of the theory and we are able to solve the equations of motion for all of them. It is shown that all such solutions can be expressed as a direct sum of solutions of the integrable Liouville and SU(3) Toda systems. This completes the construction of all supersymmetric solutions of the model since the null case has already been solved.
We consider 5-dimensional gauged supergravity coupled to Abelian vector multiplets, and we look for supersymmetric solutions for which the 4-dimensional Kähler base space admits a holomorphic isometry. Taking advantage of this isometry, we are able to find several supersymmetric solutions for the ST$[2,n_v+1]$ special geometric model with arbitrarily many vector multiplets. Among these there are three families of solutions with $n_v+2$ independent parameters, which for one of the families can be seen to correspond to $n_v+1$ electric charges and one angular momentum. These solutions generalize…
Relying on the method of spinorial geometry, purely bosonic supersymmetric solutions in N=2, five-dimensional supergravity theories coupled to vector multiplets in all space-time signatures are found. Explicit examples of some new solutions are presented
Stable non-supersymmetric Anti-de Sitter (AdS) vacua of string theory are widely believed not to exist. In this letter, we analytically compute the full bosonic Kaluza-Klein spectrum around the ${\rm G_2}$-invariant non-supersymmetric $\textrm{AdS}_4$ solution of massive IIA supergravity, and show that it is perturbatively stable. We also provide evidence that six other non-supersymmetric $\textrm{AdS}_4$ solutions of massive IIA supergravity are perturbatively stable. Since previous studies have indicated that these AdS vacua may also be non-perturbatively stable, our findings pose a challeng…
Building upon known supersymmetric backgrounds, we derive novel half-BPS fermionic solutions in three-dimensional supergravity. By virtue of an essential dependence on fermionic degrees of freedom, they possess no purely bosonic analogue. In the Anti de Sitter case this notably includes nonsingular solutions for which the corresponding Chern-Simons gauge field $\mathcal{A}=ω\pm e/L$ vanishes, providing access to configurations which are ordinarily singular in pure gravity.
We analyze the timelike supersymmetric solutions of minimal gauged 5-dimensional supergravity for the case in which the Kähler base manifold admits a holomorphic isometry and depends on two real functions satisfying a simple second-order differential equation. Using this general form of the base space, the equations satisfied by the building blocks of the solutions become of, at most, fourth degree and can be solved by simple polynomic ansatzs. In this way we construct two 3-parameter families of solutions that contain almost all the timelike supersymmetric solutions of this theory with one an…
We show how by assuming at least 8 real timelike supersymmetries in the maximally supersymmetric three-dimensional ungauged supergravity and a further simplifying Ansatz, we are naturally led to a pair of Liouville field equations. We also show that there are no solutions that preserve only 6 real timelike supersymmetries. The solution relies on the classification of complex spinors of Spin(8) to which the problem quickly reduces.
We consider 2+1 dimensional off-shell N = 1 pure supergravity that is constructed from graviton, gravitino and auxiliary field. We show that the $R^2$ supersymmetric invariant and $R^2_{μν}$ supersymmetric invariant are expressed as local supersymmetric exact terms up to mass terms for gravitino. In both cases, the mass parameter is proportional to the off-shell supersymmetric cosmological constant.
We first make a Killing spinor analysis for a general three-dimensional off-shell $N=(2,0)$ supergravity and find conditions for a bosonic background to preserve some supersymmetry . We then consider a particular model, namely $N=(2,0)$ topologically massive supergravity and impose its field equations. By making a suitable ansatz on metric functions we find a large class of solutions that include spacelike, timelike and null warped $AdS_3$ among others. Isometric quotients of spacelike and timelike squashed $AdS_3$ solutions yield extremal black holes without closed causal curves.
在D3-膜Dirac-Born-Infeld理论中，我们构造了1/2超对称非阈值和1/4超对称阈值束缚态BI双子的部分定域超引力对应解。这样的超重力解具有BI双子的所有参数。通过对这些超引力解进行IIA/IIB T-对偶变换，得到了在其他维情况下Dirac Born Infeld理论中世界体积U（1）规范场的1/2和1/4超对称带荷和带荷超对称双离子的超引力对应解.
Supersymmetric Domain Walls and Strings in D=5 gauged Supergravity coupled to Vector Multiplets
我们提出了新的超对称域壁和弦的五维N = 2规范超引力耦合到任意数量的矢量多重态的解决方案。使用非常特殊的几何技术允许获得最一般的域壁保持一半的超对称性。这个解描述了对偶场论中的一个重整化群流，它是用Weierstrass椭圆函数给出的。磁荷，四分之一超对称弦的解决方案是密切相关的刘维理论。我们进一步研究了一般乘积空间的紧化，证明了当在模空间中移动时，可以发生从AdS_3 x S^2到AdS_3 x H^2的拓扑变换.
All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
利用旋量几何方法对N=2，D=4规范超引力与任意数量阿贝尔向量多重态耦合的类光超对称解进行了分类。根据Killing旋量是否为常数，解分为两类。在这两种情况下，我们给出明确的例子超对称背景。在这些保留四分之一超对称性的BPS解中，有引力波在畴壁或无的气泡上传播，渐近AdS_4。进一步，我们得到了半超对称真空所服从的附加约束。这些被分为四类，包括气泡的没有渐近AdS_4，PP波域壁，AdS_3 x R，时空共形AdS_3倍的间隔。
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…
We prove that any supersymmetric solution to five-dimensional minimal gauged supergravity with $SU(2)$ symmetry, that is timelike outside an analytic horizon, is a Gutowski-Reall black hole or its near-horizon geometry. The proof combines a delicate near-horizon analysis with the general form for a Kähler metric with cohomogeneity-1 $SU(2)$ symmetry. We also prove that any timelike supersymmetric soliton solution to this theory, with $SU(2)$ symmetry and a nut or a complex bolt, has a Kähler base with enhanced $U(1)\times SU(2)$ symmetry, and we exhibit a family of asymptotically AdS$_5/\mathb…
We construct and study the first supersymmetric black-hole and black-string solutions of non-Abelian-gauged N=1,d=5 supergravity (N=1,d=5 Super-Einstein-Yang-Mills theory) with non-trivial SU(2) gauge fields: BPST instantons for black holes and BPS monopoles of different kinds ('t~Hooft-Polyakov, Wu-Yang and Protogenov) for black strings and also for certain black holes that are well defined solutions only for very specific values of all the moduli. Instantons, as well as colored monopoles do not contribute to the masses and tensions but do contribute to the entropies. The construction is base…
All supersymmetric solutions of 3D U(1)$^3$ gauged supergravity
包裹常曲率黎曼曲面的D3-膜产生了2D N =（0，2）SCFT，其中超共形不动点映射到3D N =2 U（1）^3规范超引力的真空。在这项工作中，我们确定的费米子超对称性变化的理论，并提出所有的超对称解决方案。对于具有类时基灵矢量的时空，我们确定了新的类时翘曲AdS_3（哥德尔）和类时翘曲dS_3临界点。我们概述了固定点之间插值的数值解的构造，证明了这些流是由SCFT中的无关标量算子驱动的，并确定了超势的逆作为候选c函数。我们进一步分类所有时空与零Killing矢量，在这个过程中产生轨迹的参数空间，零翘曲AdS_3真空与薛定谔z=2对称存在。我们构造了基于D3-膜的非超对称类空扭曲AdS_3几何。
We explore $\mathcal{N}=1$ supersymmetric extensions of algebras going beyond the Poincaré and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to supersymmetric extensions with one fermionic charge $Q_α$ concerning the so-called resonant algebras being characterized by the presence of an additional bosonic generator $Z_{a}$, besides the Lorentz $J_{a}$ and translation $P_{a}$ generators. Obtained eight supersymmetric $JPZ+Q$ schemes result directly from obeying super-Jacobi identities. We point out particular re…
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 …
