The Non-Perturbative $\mathcal{N}=2$ SUSY Yang-Mills Theory from Semiclassical Absorption of Supergravity by Wrapped D Branes

Abstract

The imaginary part of the two point functions of the superconformal anomalous currents are extracted from the cross-sections of semiclassical absorption of dilaton, RR-2 form and gravitino by the wrapped D5 branes. From the central terms of the two point functions anomalous Ward identity is established which relates the exact pre-potential of the $\mathcal{N}=2$ SUSY Yang-Mills theory with the vacuum expectation value of the anomaly multiplet. From the Ward identity, WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) equation can be derived which is solved for the exact pre-potential.

arXiv comment11 pages, latex

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