https://doi.org/10.1140/epjc/s10052-021-09536-4
Regular Article - Theoretical Physics
Supersymmetric domain walls in maximal 6D gauged supergravity I
String Theory and Supergravity Group, Department of Physics, Faculty of Science, Chulalongkorn University, 254 Phayathai Road, Pathumwan, 10330, Bangkok, Thailand
Received:
6
March
2021
Accepted:
7
August
2021
Published online:
23
August
2021
We find a large class of supersymmetric domain wall solutions from six-dimensional gauged supergravity with various gauge groups. In general, the embedding tensor lives in representation of the global symmetry SO(5, 5). We explicitly construct the embedding tensors in and representations of leading to and gauge groups, respectively. These gaugings can be obtained from reductions of seven-dimensional gauged supergravity with and gauge groups. As in seven dimensions, we find half-supersymmetric domain walls for purely magnetic or purely electric gaugings with the embedding tensors in or representations, respectively. In addition, for dyonic gauge groups with the embedding tensors in both and representations, the domain walls turn out to be -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 gauged supergravity.
© The Author(s) 2021
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