Supersymmetric domain walls in 7D maximal gauged supergravity

Parinya Karndumri; Patharadanai Nuchino

doi:10.1140/epjc/s10052-019-7168-7

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2019) 79: 648
https://doi.org/10.1140/epjc/s10052-019-7168-7

Regular Article - Theoretical Physics

Supersymmetric domain walls in 7D maximal gauged supergravity

Parinya Karndumri^* and Patharadanai Nuchino

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: 15 April 2019
Accepted: 23 July 2019
Published online: 7 August 2019

Abstract

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 $\mathbf {15}$ and $\overline{\mathbf {40}}$ of the global symmetry SL(5). The embedding tensor in $\mathbf {15}$ representation leads to $$CSO(p,q,5-p-q)$$ gauge groups while gaugings in $\overline{\mathbf {40}}$ representation describes $$CSO(p,q,4-p-q)$$ gauge groups. These gaugings admit half-supersymmetric domain walls as vacuum solutions. On the other hand, gaugings involving both $\mathbf {15}$ and $\overline{\mathbf {40}}$ components lead to $\frac{1}{4}$ -supersymmetric domain walls. In this case, the gauge groups under consideration are $SO(2,1)\ltimes \mathbf {R}^4$ and $CSO(2,0,2)\sim SO(2)\ltimes \mathbf {R}^4$ . All of the domain wall solutions are analytically obtained. For SO(5) gauge group, the gauged supergravity admits an $$N=4$$ supersymmetric $$AdS_7$$ vacuum dual to $$N=(2,0)$$ 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 $$S^4$$ . Furthermore, the gauged supergravity with $CSO(4,0,1)\sim SO(4)\ltimes \mathbf {R}^4$ gauge group can be embedded in type IIA theory via a truncation on $$S^3$$ . The uplifted domain walls, describing NS5-branes of type IIA theory, are also given.