Large N gauge theories and topological cigars
Nov, 200635 pages
Published in:
- JHEP 04 (2007) 078
e-Print:
- hep-th/0611016 [hep-th]
Report number:
- SWAT-06-479
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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.- large N
- matrix models
- double-scaling limits
- non-critical strings
- gauge field theory: U(N)
- supersymmetry
- expansion 1/N
- matrix model
- scaling
- topology
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