2006/11/01 by Gaetano Bertoldi, Timothy J. Hollowood · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Conifold #Duality (order theory) #Gauge theory #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Relationship between string theory and quantum field theory #S-duality #Scaling #Scaling limit #String (physics) #String theory #Superstring theory #Supersymmetry #Topological string theory #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/04/078
published in Journal of High Energy Physics 2007(04), 078 (Springer Nature) · 34 pages
arxiv created 2006/11/01 · openalex publication_date 2007/04/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.