Large N gauge theories and topological cigars

Abstract

We analyze the conjectured duality between a class of double-scaling limits of a one-matrix model and the topological twist of non-critical superstring backgrounds that contain the N=2 Kazama-Suzuki SL(2)/U(1) supercoset model. The untwisted backgrounds are holographically dual to double-scaled Little String Theories in four dimensions and to the large N double-scaling limit of certain supersymmetric gauge theories. The matrix model in question is the auxiliary Dijkgraaf-Vafa matrix model that encodes the F-terms of the above supersymmetric gauge theories. We evaluate matrix model loop correlators with the goal of extracting information on the spectrum of operators in the dual non-critical bosonic string. The twisted coset at level one, the topological cigar, is known to be equivalent to the c=1 non-critical string at self-dual radius and to the topological theory on a deformed conifold. The spectrum and wavefunctions of the operators that can be deduced from the matrix model double-scaling limit are consistent with these expectations.

34 pages

References in corpus (4)

• A Perturbative Window into Non-Perturbative Physics
• Double Scaling Limits in Gauge Theories and Matrix Models
• The Topological Cigar Observables
• Double Scaling Limits and Twisted Non-Critical Superstrings

Cited by in corpus (6)

• The First Release COSMOS Optical and Near-IR Data and Catalog
• Open string amplitudes and large order behavior in topological string theory
• Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c=1 Matrix Models
• Holomorphic anomaly and matrix models
• Topological open strings on orbifolds
• Instanton calculus and chiral one-point functions in supersymmetric gauge theories