Supersymmetric $AdS_6$ vacua in six-dimensional $N=(1,1)$ gauged supergravity

Parinya Karndumri; Jan Louis

doi:10.1007/JHEP01(2017)069

paper

Supersymmetric $A d S_{6}$ vacua in six-dimensional $N = (1, 1)$ gauged supergravity

arXiv:1612.00301 · doi:10.1007/JHEP01(2017)069

Abstract

We study fully supersymmetric $A d S_{6}$ vacua of half-maxi\-mal $N = (1, 1)$ gauged supergravity in six space-time dimensions coupled to $n$ vector multiplets. We show that the existence of $A d S_{6}$ backgrounds requires that the gauge group is of the form $G^{'} \times G " \subset S O (4, n)$ where $G^{'} \subset S O (3, m)$ and $G " \subset S O (1, n - m)$ . In the $A d S_{6}$ vacua this gauge group is broken to its maximal compact subgroup $S O (3) \times H^{'} \times H "$ where $H^{'} \subset S O (m)$ and $H " \subset S O (n - m)$ . Furthermore, the $S O (3)$ factor is the R-symmetry gauged by three of the four graviphotons. We further show that the $A d S_{6}$ vacua have no moduli that preserve all supercharges. This is precisely in agreement with the absence of supersymmetric marginal deformations in holographically dual five-dimensional superconformal field theories.

13 pages, no figures

Supersymmetric $A d S_{6}$ vacua in six-dimensional $N = (1, 1)$ gauged supergravity

Abstract

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Supersymmetric AdS6​ vacua in six-dimensional N=(1,1) gauged supergravity

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Supersymmetric $A d S_{6}$ vacua in six-dimensional $N = (1, 1)$ gauged supergravity