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**1 - 1**of**1**### SISSA/17/2008/EP On gauge/string correspondence and mirror symmetry

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"... We consider a mirror dual of the Berkovits-Vafa A-model for the BPS superstring on AdS5 × S 5 in the form of a deformed superconifold. Via geometric transition, the theory has a dual description as the hermitian gaussian one-matrix model. We show that the A-model amplitudes of AdS2 × S 4 branes, bre ..."

Abstract
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We consider a mirror dual of the Berkovits-Vafa A-model for the BPS superstring on AdS5 × S 5 in the form of a deformed superconifold. Via geometric transition, the theory has a dual description as the hermitian gaussian one-matrix model. We show that the A-model amplitudes of AdS2 × S 4 branes, breaking the superconformal symmetry as U(2,2|4) → OSp(4 ∗ |4), are evaluated in terms of observables in the matrix model. As such, upon the usual identification g 2 Y M = gs, these can be expanded as Drukker-Gross circular The duality among gauge theories and string theory is a very important subject in modern theoretical physics. An important issue which is getting much attention is the ability of string theory to reproduce known results of the perturbative gauge theory [1, 2]. In such a regime, the string theory is usually formulated in terms of a strongly coupled non linear σ-model which needs