Regular Article - Theoretical Physics
Two-dimensional SCFTs from matter-coupled 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 study supersymmetric solutions of gauged supergravity in seven dimensions coupled to three vector multiplets with gauge group and being a four-manifold with constant curvature. The gauged supergravity admits two supersymmetric critical points with SO(4) and SO(3) symmetries corresponding to superconformal field theories (SCFTs) in six dimensions. For with being a Riemann surface, we obtain a large class of supersymmetric solutions preserving four supercharges and symmetry for one of the being a hyperbolic space , and the solutions are dual to SCFTs in two dimensions. For a smaller symmetry SO(2), only solutions exist. Some of these are also solutions of pure gauged supergravity with gauge group. We numerically study domain walls interpolating between the two supersymmetric vacua and these geometries. The solutions describe holographic RG flows across dimensions from SCFTs in six dimensions to two-dimensional SCFTs in the IR. Similar solutions for being a Kahler four-cycle with negative curvature are also given. In addition, unlike case, it is possible to twist by gauge fields resulting in two-dimensional SCFTs. Some of the solutions can be uplifted to eleven dimensions and provide a new class of solutions in M-theory.
© The Author(s), 2019