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arXiv 1502.04668hep-th
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三维U(1)$^3$规范超引力的全超对称解

All supersymmetric solutions of 3D U(1)$^3$ gauged supergravity

Eoin Ó Colgáin

摘要:

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。

英文摘要:

D3-branes wrapping constant curvature Riemann surfaces give rise to 2D N = (0,2) SCFTs, where the superconformal fixed-points are mapped to vacua of 3D N =2 U(1)^3 gauged supergravity. In this work we determine the fermionic supersymmetry variations of the theory and present all supersymmetric solutions. For spacetimes with a timelike Killing vector, we identify new timelike warped AdS_3 (Gödel) and timelike warped dS_3 critical points. We outline the construction of numerical solutions interpolating between fixed-points, demonstrate that these flows are driven by an irrelevant scalar operator in the SCFT and identify the inverse of the superpotential as a candidate c-function. We further classify all spacetimes with a null Killing vector, in the process producing loci in parameter space where null-warped AdS_3 vacua with Schrodinger z=2 symmetry exist. We construct non-supersymmetric spacelike warped AdS_3 geometries based on D3-branes.

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