Supersymmetric domain walls in maximal 6D gauged supergravity I

Abstract

We find a large class of supersymmetric domain wall solutions from six-dimensional N=(2,2) gauged supergravity with various gauge groups. In general, the embedding tensor lives in {{mathbf {144}}}_c representation of the global symmetry SO(5, 5). We explicitly construct the embedding tensors in {{mathbf {15}}}^{-1} and overline{{mathbf {40}}}^{-1} representations of GL(5)sim {mathbb {R}}^+times SL(5)subset SO(5,5) leading to CSO(p,q,5-p-q) and CSO(p,q,4-p-q)ltimes {mathbb {R}}^4_{{varvec{s}}} gauge groups, respectively. These gaugings can be obtained from S^1 reductions of seven-dimensional gauged supergravity with CSO(p,q,5-p-q) and CSO(p,q,4-p-q) gauge groups. As in seven dimensions, we find half-supersymmetric domain walls for purely magnetic or purely electric gaugings with the embedding tensors in {{mathbf {15}}}^{-1} or overline{{mathbf {40}}}^{-1} representations, respectively. In addition, for dyonic gauge groups with the embedding tensors in both {{mathbf {15}}}^{-1} and overline{{mathbf {40}}}^{-1} representations, the domain walls turn out to be frac{1}{4}-supersymmetric as in the seven-dimensional analogue. By the DW/QFT duality, these solutions are dual to maximal and half-maximal super Yang–Mills theories in five dimensions. All of the solutions can be uplifted to seven dimensions and further embedded in type IIB or M-theories by the well-known consistent truncation of the seven-dimensional N=4 gauged supergravity.