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On the 2D Yang-Mills/Hurwitz Correspondence

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arxiv 2401.00628 v1 pith:GRTWBXCP submitted 2024-01-01 math.CO math-phmath.MP

Jonathan Novak This is my paper · ORCID
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keywords hurwitztheoryyang-millsbecomeschiralclassicalcompactcontributions
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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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  1. The String Dual to Two-dimensional Yang-Mills Theory Revisited

    hep-th 2025-02 conditional novelty 6.0 of 10

    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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