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On the 2D Yang-Mills/Hurwitz Correspondence
Published 1 Jan 2024 in math.CO, math-ph, and math.MP | (2401.00628v1)
Abstract: In this paper, we show that in the large $N$ limit two-dimensional Yang-Mills theory with $U(N)$ gauge group becomes mixed Hurwitz theory, in the sense that the $1/N$ expansion of the chiral partition function receives contributions from both classical and monotone Hurwitz theory for all but finitely many compact orientable spacetimes.
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