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Wrapped fivebranes and N=2 super Yang-Mills theory

2001; American Physical Society; Volume: 64; Issue: 10 Linguagem: Inglês

10.1103/physrevd.64.106008

1538-4500

Jerome P. Gauntlett, Nakwoo Kim, Dario Martelli, Daniel Waldram,

Noncommutative and Quantum Gravity Theories

We construct $D=10$ supergravity solutions corresponding to type IIB fivebranes wrapping a two-sphere in a Calabi-Yau twofold. These are related in the IR to the large N limit of pure $\mathcal{N}=2$ $\mathrm{SU}(N)$ super Yang-Mills theory. We show that the singularities in the IR correspond to the wrapped branes being distributed on a ring. We analyze the dynamics of a probe fivebrane and show that it incorporates the full perturbative structure of the gauge theory. For a class of solutions the two-dimensional moduli space is nonsingular and we match the result for the corresponding slice of the Coulomb branch of the gauge theory.