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Two Dimensional QCD is a String Theory
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abstract
The partition function of two dimensional QCD on a Riemann surface of area $A$ is expanded as a power series in $1/N$ and $A$. It is shown that the coefficients of this expansion are precisely determined by a sum over maps from a two dimensional surface onto the two dimensional target space. Thus two dimensional QCD has a simple interpretation as a closed string theory.
Forward citations
Cited by 8 Pith papers
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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
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Lattice defect networks in 2d Yang-Mills
A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.
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Strings from Feynman Diagrams
Every Feynman diagram in a two-matrix model is mapped to a unique closed string worldsheet and Belyi embedding, with the diagram's weight equal to the string action.
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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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