Wrapped fivebranes and N=2 super Yang-Mills theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 Latex pages, two figures;v2 typos corrected, references added

Scientific paper

10.1103/PhysRevD.64.106008

We construct D=10 supergravity solutions corresponding to type IIB fivebranes wrapping a two-sphere in a Calabi-Yau two-fold. These are related in the IR to the large N limit of pure N=2 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 analyse 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 non-singular and we match the result for the corresponding slice of the Coulomb branch of the gauge theory.

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