Year: 2019
Type: article
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 $$N=(2,0)$$ SCFT to non-conformal $$N=(2,0)$$ 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.
Source: The European Physical Journal C
Authors: Parinya Karndumri, Patharadanai Nuchino
Institution: Chulalongkorn University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: Thailand Research Fund
Award: G2701969662
OpenAlex ID: W2931834168