Two-dimensional SCFTs from matter-coupled gauged supergravity

Parinya Karndumri; Patharadanai Nuchino

doi:10.1140/epjc/s10052-019-7170-0

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2019) 79: 652
https://doi.org/10.1140/epjc/s10052-019-7170-0

Regular Article - Theoretical Physics

Two-dimensional SCFTs from matter-coupled 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: 11 June 2019
Accepted: 23 July 2019
Published online: 7 August 2019

Abstract

We study supersymmetric $AdS_3\times M^4$ solutions of $$N=2$$ gauged supergravity in seven dimensions coupled to three vector multiplets with $SO(4)\sim SO(3)\times SO(3)$ gauge group and $$M^4$$ being a four-manifold with constant curvature. The gauged supergravity admits two supersymmetric $$AdS_7$$ critical points with SO(4) and SO(3) symmetries corresponding to $$N=(1,0)$$ superconformal field theories (SCFTs) in six dimensions. For $M^4=\Sigma ^2\times \Sigma ^2$ with $\Sigma ^2$ being a Riemann surface, we obtain a large class of supersymmetric $AdS_3\times \Sigma ^2\times \Sigma ^2$ solutions preserving four supercharges and $SO(2)\times SO(2)$ symmetry for one of the $\Sigma ^2$ being a hyperbolic space $$H^2$$ , and the solutions are dual to $$N=(2,0)$$ SCFTs in two dimensions. For a smaller symmetry SO(2), only $AdS_3\times H^2\times H^2$ solutions exist. Some of these are also solutions of pure $$N=2$$ gauged supergravity with $SU(2)\sim SO(3)$ gauge group. We numerically study domain walls interpolating between the two supersymmetric $$AdS_7$$ vacua and these geometries. The solutions describe holographic RG flows across dimensions from $$N=(1,0)$$ SCFTs in six dimensions to $$N=(2,0)$$ two-dimensional SCFTs in the IR. Similar solutions for $$M^4$$ being a Kahler four-cycle with negative curvature are also given. In addition, unlike $M^4=\Sigma ^2\times \Sigma ^2$ case, it is possible to twist by $SO(3)_{\text {diag}}$ gauge fields resulting in two-dimensional $$N=(1,0)$$ SCFTs. Some of the solutions can be uplifted to eleven dimensions and provide a new class of $AdS_3\times M^4\times S^4$ solutions in M-theory.