Eur. Phys. J. C (2017) 77: 130
https://doi.org/10.1140/epjc/s10052-017-4702-3

Regular Article - Theoretical Physics

Supersymmetric deformations of 3D SCFTs from tri-Sasakian truncation

String Theory and Supergravity Group, Department of Physics, Faculty of Science, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok, 10330, Thailand

^* e-mail: parinya.ka@hotmail.com

Received: 6 December 2016
Accepted: 14 February 2017
Published online: 25 February 2017

Abstract

We holographically study supersymmetric deformations of and superconformal field theories in three dimensions using four-dimensional gauged supergravity coupled to three-vector multiplets with non-semisimple gauge group. This gauged supergravity can be obtained from a truncation of 11-dimensional supergravity on a tri-Sasakian manifold and admits both supersymmetric and stable non-supersymmetric critical points. We analyze the BPS equations for SO(3) singlet scalars in detail and study possible supersymmetric solutions. A number of RG flows to non-conformal field theories and half-supersymmetric domain walls are found, and many of them can be given analytically. Apart from these “flat” domain walls, we also consider -sliced domain wall solutions describing two-dimensional conformal defects with supersymmetry within the dual field theory while this type of solutions does not exist in the case.