It is known that supersymmetric nonlinear sigma models for the compact Kahler manifolds G/H cannot be consistently coupled to supergravity, since the Kahler potentials are not invariant under the G transformation. We show that the supersymmetric nonlinear sigma models can be deformed such that the Kahler potential be exactly G-invariant if and only if one enlarges the manifolds by dropping all the U(1)'s in the unbroken subgroup H. Then, those nonlinear sigma models can be coupled to supergravity without losing the G invariance.
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 …
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.
Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels
最近，陪集空间G/H上的非线性西格玛模型的概念被推广到群G是无限维Kac-Moody群，H是其（形式上的）“极大紧子群”的情况。在这里，我们详细研究了一维（测地线）西格玛模型，G = E 10和H= KE 10。我们重新检查这个西格玛模型的建设和它的关系的玻色子部门的11维超引力，高度30，通过使用一个新的制定的运动方程。具体而言，我们系统地使用KE 10-正交局部框架，在这个意义上，我们分解的“速度"E10/KE 10的对象，这是表示的紧凑的子群KE 10。这种新的观点可能有助于将E10/KE 10西格玛模型与超重力之间的对应关系扩展到目前检查的水平之外。
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…
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.
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
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.
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.
