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Two Dimensional QCD as a String Theory
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abstract
I explore the possibility of finding an equivalent string representation of two dimensional QCD. I develop the large N expansion of the ${\rm QCD_2}$ partition function on an arbitrary two dimensional Euclidean manifold. If this is related to a two-dimensional string theory then many of the coefficients of the ${1\over N}$ expansion must vanish. This is shown to be true to all orders, giving strong evidence for the existence of a string representation.
Forward citations
Cited by 4 Pith papers
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Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
Two-dimensional adjoint QCD has mixed 't Hooft anomalies that force spontaneous chiral symmetry breaking for most N and partial deconfinement of N-ality N/2 charges for even N.
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The String Dual to Two-dimensional Yang-Mills Theory Revisited
Chiral two-dimensional Yang-Mills theory at large N is proposed to be dual to a stationary subsector of Gromov-Witten theory deformed by an area-dependent transposition interaction and an Omega-point compactification ...
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Topological effects in continuum 2d $U(N)$ gauge theories
For 2d U(N) gauge theory on a sphere, the large-N topological susceptibility vanishes below the Douglas-Kazakov transition and becomes nonzero above it, unlike the pure U(1) value.
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Bosonization, BTZ Black Hole Microstates, and Logarithmic Correction to Entropy
BTZ black hole microstates under collective-field boundary conditions are labeled by Young diagrams, and the logarithmic correction to their entropy is -1/2, one-loop exact and identical for two boundary Hamiltonians.
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