On gauge/string correspondence and mirror symmetry

Abstract

We consider a mirror dual of the Berkovits-Vafa A-model for the BPS superstring on $Ad{S}_5\times S^5$ 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 $Ad{S}_2\times S^4$ branes, breaking the superconformal symmetry as $U(2,2|4)\to OSp(4^{\ast }|4)$, 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 $\mathcal{N}=4$ SYM.

1+13 pages, minor changes, added refrences, version to appear in JHEP

References in corpus (8)

• Holographic Wilson Loops
• Supersymmetric Wilson loops on S^3
• Wilson Loops as D3-Branes
• Holomorphic anomaly and matrix models
• Towards a Worldsheet Derivation of the Maldacena Conjecture
• On the D3-brane description of some 1/4 BPS Wilson loops
• A New Limit of the AdS_5 x S^5 Sigma Model
• Planar Homological Mirror Symmetry

Cited by in corpus (11)

• Exact Results in ABJM Theory from Topological Strings
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Exact results for Wilson loops in arbitrary representations
• Superstrings in AdS
• Correlators in the Simplest Gauge-String Duality
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• Supersymmetric Wilson Loops in Diverse Dimensions
• Topological String on OSP(1|2)/U(1)
• Wilson Loops from D-branes in AdS(4) X CP**3 with B-NS Holonomy
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
• Splitting of Folded Strings in AdS_4*CP^3