Supersymmetric AdS 6 vacua in six-dimensional N = (1 , 1) gauged supergravity

Abstract

We study fully supersymmetric AdS₆ vacua of half-maximal N = (1, 1) gauged supergravity in six space-time dimensions coupled to n vector multiplets. We show that the existence of AdS₆ backgrounds requires that the gauge group is of the form G′ × G″ ⊂ SO(4, n) where G′ ⊂ SO(3, m) and G″ ⊂ SO(1, n− m). In the AdS₆ vacua this gauge group is broken to its maximal compact subgroup SO(3) × H′^′× H″ where H′ ⊂ SO(m) and H″ ⊂ SO(n− m). Furthermore, the SO(3) factor is the R-symmetry gauged by three of the four graviphotons. We further show that the AdS₆ 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.