Details

Autor(en) / Beteiligte

• Karndumri, Parinya
• Nuchino, Patharadanai

Titel

Two-dimensional SCFTs from matter-coupled 7DN=2 gauged supergravity

Ist Teil von

• The European physical journal. C, Particles and fields, 2019-08, Vol.79 (8)

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2019

Quelle

Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals

Beschreibungen/Notizen

• We study supersymmetric A d S 3 × M 4 solutions of N = 2 gauged supergravity in seven dimensions coupled to three vector multiplets with S O ( 4 ) ∼ S O ( 3 ) × S O ( 3 ) gauge group and M 4 being a four-manifold with constant curvature. The gauged supergravity admits two supersymmetric A d S 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 = Σ 2 × Σ 2 with Σ 2 being a Riemann surface, we obtain a large class of supersymmetric A d S 3 × Σ 2 × Σ 2 solutions preserving four supercharges and S O ( 2 ) × S O ( 2 ) symmetry for one of the Σ 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 A d S 3 × H 2 × H 2 solutions exist. Some of these are also solutions of pure N = 2 gauged supergravity with S U ( 2 ) ∼ S O ( 3 ) gauge group. We numerically study domain walls interpolating between the two supersymmetric A d S 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 = Σ 2 × Σ 2 case, it is possible to twist by S O ( 3 ) 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 A d S 3 × M 4 × S 4 solutions in M-theory.