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The gravity duals of \( \mathcal{N}=2 \) superconformal field theories. (English) Zbl 1397.83038

Summary: We study the gauge/gravity duality for theories with four dimensional \( \mathcal{N}=2 \) supersymmetries. We consider the large class of generalized quiver field theories constructed recently by the first author [ibid. 2012, No. 8, Paper No. 34, 58 p. (2012; Zbl 1397.81362)]. These field theories can also be viewed as the IR limit of M5 branes wrapping a Riemann surface with punctures. We give a prescription for constructing the corresponding geometries and we discuss a few special cases in detail. There is a precise match for various quantities between the field theory and the M-theory description.

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory

Citations:

Zbl 1397.81362

References:

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