The squashed and stretched 7-dimensional internal metric preserving U(1) x U(1) x U(1)_R symmetry possesses an Einstein-Kahler 2-fold which is a base manifold of 5-dimensional Sasaki-Einstein L^{p, q, r} space. The r(transverse to the domain wall)-dependence of the two 4-dimensional supergravity fields, that play the role of geometric parameters for squashing and stretching, makes the 11-dimensional Einstein-Maxwell equations consistent not only at the two critical points but also along the whole N=2 supersymmetric RG flow connecting them. The Ricci tensor of the solution has common feature with the previous three 11-dimensional solutions. The 4-forms preserve only U(1)_R symmetry for other generic parameters of the metric. We find an exact solution to the 11-dimensional Einstein-Maxwell equations corresponding to the lift of the 4-dimensional supersymmetric RG flow.
We describe a new procedure to obtain consistent backgrounds that uplift vacua and deformations of various maximal gauged supergravities by taking a known solution and performing singular limits along the moduli space of the corresponding 4-dimensional theory. We then apply this procedure to the S^3 x H^{2,2} background that provides the uplift of 4-dimensional Minkowski vacua of maximal supergravity with gauge group [SO(4) x SO(2,2)] $\ltimes$ R^{16}. We find that the newly generated vacua are generally only locally geometric and correspond to asymmetric orbifolds, Q-flux backgrounds or combi…
We find a new supersymmetric solution of type IIB supergravity which is the uplift of the GPPZ solution of maximal SO$(6)$ gauged supergravity in five dimensions. This background is expected to be holographically dual to an $\mathcal{N}=1^{*}$ supersymmetric mass deformation of four-dimensional $\mathcal{N}=4$ SYM. The ten-dimensional solution is singular in the region corresponding to the IR regime of the dual gauge theory and we discuss the physics of the singularity in some detail.
We revisit non-rotating, dyonically charged, and supersymmetric AdS$_4$ black holes, which are solutions of $\mathcal{N}=2$ gauged supergravity with vector- and hyper-multplets. Uplifting the near horizon solutions to $D=11$ supergravity on seven-dimensional Sasaki-Einstein manifolds, we show that dyonic AdS$_4$ black holes correspond to AdS$_2$ solutions with electric and magnetic baryonic fluxes in $D=11$ supergravity. We identify the off-shell AdS$_4$ black hole solutions with parameters of $D=11$ AdS$_2$ solutions without imposing the equations of motion. We calculate the entropy of dyonic…
An anti-D3-brane plays a crucial role in the construction of semi-realistic cosmological models in string theory. Part of its action provides an uplift term that has been used to lift AdS solutions to phenomenologically viable dS vacua in the KKLT and LVS setups. In the last few years it has been shown that this uplift breaks supersymmetry spontaneously and can be described in the 4d $\mathcal{N}=1$ supergravity language by using constrained supermultiplets. Here we derive the complete 4d $\mathcal{N}=1$ supergravity action for an anti-D3-brane coupled to all closed string background fields. I…
It was shown in arXiv:1410.7168 that compactifying $D=6$, $\mathcal{N}=(1,0)$ ungauged supergravity coupled to a single tensor multiplet on S$^3$ one gets a particular $D=3$, $\mathcal{N}=4$ gauged supergravity which is a consistent reduction. We construct two supersymmetric black string solutions in this 3-dimensional model with one and two active scalars respectively. Uplifting the first, one gets a dyonic string solution in $D=6$ that has been known for a long time. Whereas, uplifting the second solution, one finds a very interesting configuration where magnetic strings are located uniforml…
We present the uplift of the GPPZ solution of the five-dimensional maximal supergravity to ten dimensions. The five dimensional solution involves two real scalar fields, with one of them encoding holographically the (norm of the complex) supersymmetric ${\mathcal N}=1$ mass deformation and the other the real part of the gaugino condensate. We embed this solution in a consistent truncation of $D=5$ maximal supergravity which involves two complex scalars dual to the complex mass deformations and the complex gaugino condensate, and a $U(1)$ gauge field dual to the $U(1)_R$ current, and uplift it …
In six- and seven-dimensional gauged supergravity, each scalar potential has one supersymmetric and one non-supersymmetric fixed points. The non-supersymmetric $AdS_7$ fixed point is perturbatively unstable. On the other hand, the non-supersymmetric $AdS_6$ fixed point is known to be perturbatively stable. In this note we examine the newly proposed non-perturbative decay channel, called brane-jet instabilities of the $AdS_6$ and $AdS_7$ vacua. We find that when they are uplifted to massive type IIA and eleven-dimensional supergravity, respectively, the non-supersymmetric $AdS_6$ and $AdS_7$ va…
The spectral gap of the ABJM model: A holographic perspective from uplifted higher-dimensional geometries
Michigan Center for Theoretical Physics, Randall Laboratory of Physics, University of Michigan（密歇根大学理论物理中心、兰德尔物理实验室）；School of Physics, Institute for Research in Fundamental Sciences (IPM)（基础科学研究院物理学院）
The gravity dual of supersymmetric gauge theories on a squashed $S^1 \times S^3$
我们提出了一个新的单参数族的超对称解变形AdS_5。这是一个五维最小规范超引力的渐近局部反德西特（AlAdS）解，具有拓扑结构R x R^4和一个非平凡的引力光子场，可以提升到十维或十一维超引力。这个解的解析延拓得到了一类四维N=1超对称规范理论的引力对偶，该理论位于一个拓扑为S^1 x S^3的弯曲流形上，由一个SU（2）x U（1）对称的压缩三球组成，具有一个与R对称流耦合的非平凡背景规范场。我们计算全息重整化的壳作用，并解释它的Casimir能量的对偶场论。我们还确定了溶液的全息守恒电荷，并讨论了它们之间的关系。
Zero-mode Spectrum of Eleven-dimensional Theory on the Plane-wave Background
在这篇博士论文中，我们研究了平面波背景下矩阵理论和十一维超引力的零模谱。该背景通过AdS_4 x S^7和AdS_7 x S^4的彭罗斯极限获得。平面波背景是一个极大的超对称时空，由11维时空中的非零常数四形式通量支持。首先，我们讨论了Berenstein，Maldacena和Nastase提出的平面波背景下的矩阵理论。构造了哈密顿量、32个超荷及其对易关系。我们讨论了一个特定的超多重态的频谱，它代表了质心自由度的ND 0-膜。这个超多重态也代表了在大N极限下的11维超引力的超粒子。其次，我们研究了十一维平面波背景下的线性超引力。将玻色子场和费米子场固定在光锥规范中，得到了物理模的谱。得到了矩阵理论中态的能量与超引力场的能量完全对应的事实。这样，我们发现平面波背景下的矩阵理论完全包含了11维超引力的零模谱。通过这个结果，我们可以论证平面波上的矩阵理论是十一维超引力量子扩展的候选者，或者是描述M理论的候选者。
In this work we study ten-dimensional solutions to type IIA string theory of the form AdS$_4$ x $X_6$ which contain orientifold planes and preserve N=1 supersymmetry. In particular, we consider solutions which exhibit some key features of the four-dimensional DGKT proposal for compactifications on Calabi-Yau manifolds with fluxes, and in this sense may be considered their ten-dimensional uplifts. We focus on the supersymmetry equations and Bianchi identities, and find solutions to these that are valid at the two-derivative level and at first order in an expansion parameter which is related to …
