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arXiv · 0804.2629

On gauge/string correspondence and mirror symmetry

Giulio Bonelli·Houman Safaai
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Abstract

We consider a mirror dual of the Berkovits-Vafa A-model for the BPS superstring on $AdS_5\times S^5$ 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 generic $AdS_2\times S^4$ branes, breaking the superconformal symmetry as $U(2,2|4)\to OSp(4^*|4)$, are evaluated in terms of observables in the matrix model. As such, upon the usual identification $g_{YM}^2=g_s$, these can be expanded as Drukker-Gross circular 1/2-BPS Wilson loops in the perturbative regime of ${\cal N}=4$ SYM.

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Giulio Bonelli, Houman Safaai. 2008-06-10. On gauge/string correspondence and mirror symmetry. https://doi.org/10.1088/1126-6708%2F2008%2F06%2F050

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