Regular Article - Theoretical Physics
Supersymmetric domain walls in 7D maximal gauged supergravity
String Theory and Supergravity Group, Department of Physics, Faculty of Science, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok, 10330, Thailand
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Accepted: 23 July 2019
Published online: 7 August 2019
We give a large class of supersymmetric domain walls in maximal seven-dimensional gauged supergravity with various types of gauge groups. Gaugings are described by components of the embedding tensor transforming in representations and of the global symmetry SL(5). The embedding tensor in representation leads to gauge groups while gaugings in representation describes gauge groups. These gaugings admit half-supersymmetric domain walls as vacuum solutions. On the other hand, gaugings involving both and components lead to -supersymmetric domain walls. In this case, the gauge groups under consideration are and . All of the domain wall solutions are analytically obtained. For SO(5) gauge group, the gauged supergravity admits an supersymmetric vacuum dual to SCFT in six dimensions. The corresponding domain walls can be interpreted as holographic RG flows from the SCFT to non-conformal field theories in the IR. The solutions can be uplifted to eleven dimensions by using a truncation ansatz on . Furthermore, the gauged supergravity with gauge group can be embedded in type IIA theory via a truncation on . The uplifted domain walls, describing NS5-branes of type IIA theory, are also given.
© The Author(s), 2019