The gravity dual of the non-perturbative N = 2 supersymmetric Yang-Mills theory

摘要

The anomalous Ward identity is derived for N = 2 SUSY Yang-Mills theories, which is resulted out of wrapping of D_5 branes on supersymmetric two cycles. Prom the ward identity one obtains the Witten-Dijkgraaf-Verlinde-Verlinde equation and hence can solve for the pre-potential. This way one avoids the problem of enhancon which maligns the non-perturbative behaviour of the Yang-Mills theory resulted out of wrapped branes.