Two-dimensional SCFTs from wrapped branes and \(c\)-extremization. (English) Zbl 1390.83325

Benini, Francesco; Bobev, Nikolay

J. High Energy Phys. 2013, No. 6, Paper No. 005, 66 p. (2013).

Summary: We apply \(c\)-extremization [the authors, “Exact two-dimensional superconformal \(R\) symmetry and \(c\) extremization”, Phys. Rev. Lett. 110, No. 6, Article ID 061601, 5 p. (2013; doi:10.1103/physrevlett.110.061601)], whose proof we review in full detail, to study two-dimensional \(N = (0, 2)\) superconformal field theories arising from the low-energy dynamics of D3-branes wrapped on Riemann surfaces and M5-branes wrapped on four-manifolds. We compute the exact central charges of these theories using anomalies and \(c\)-extremization. In all cases we also construct AdS3 supergravity solutions of type IIB and eleven-dimensional supergravity, which are holographic duals to the field theories at large \(N\) , and exactly reproduce the central charges computed via \(c\)-extremization.

MSC:

83E30	String and superstring theories in gravitational theory
83C57	Black holes
83E50	Supergravity

Keywords:

supersymmetric gauge theory; field theories in lower dimensions; AdS-CFT correspondence

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