Supersymmetric AdS_6 Solutions of Type IIB Supergravity

Abstract

We study the general requirement for supersymmetric AdS${}_6$ solutions in type IIB supergravity. We employ the Killing spinor technique and study the differential and algebraic relations among various Killing spinor bilinears to find the canonical form of the solutions. Our result agrees precisely with the work of Apruzzi et. al. \cite{Apruzzi:2014qva} which used the pure spinor technique. We also obtained the four-dimensional theory through the dimensional reduction of type IIB supergravity on AdS${}_6$. This effective action is essentially a nonlinear sigma model with five scalar fields parametrizing $\text{SL}(3,\mathbb{R})/\text{SO}(2,1)$, modified by a scalar potential and coupled to Einstein gravity in Euclidean signature. We argue that the scalar potential can be explained by a subgroup CSO(1,1,1) $\subset \text{SL}(3,\mathbb{R})$ in a way analogous to gauged supergravity.

v2: 24 pages, misprints corrected, published in EPJC

References in corpus (6)

• Supersymmetric Gauge Theories on the Five-Sphere
• AdS_6 solutions of type II supergravity
• Comments on AdS2 solutions of D=11 Supergravity
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• Stationary axisymmetric solutions of five dimensional gravity
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere

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