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SUMMARY:Antoine Dalqvist (Sussex)
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Mixed Schur–Weyl Duality and Topological Expansions for 2D Gauge Theory revisited=0D=0A=
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This talk explores the role of Schur–Weyl duality between unitary and symmetric groups in random matrix theory and the large-N limits of lattice gauge theories, from a combinatorial perspective.=0D=0A=
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I shall present a combinatorial approach based on a variant of Schur–Weyl duality for mixed tensors, recently used to establish asymptotic expansions of the partition function and convergence of Wilson loops in two-dimensional Yang–Mills theory. I will revisit the work of Gross and Taylor, "2D QCD Is a String Theory," sketch an alternative proof of a formula due to Kimura and Ramgoolam, and discuss applications to surface expansions of Wilson loops and the determination of the master field on closed orientable surfaces. =0D=0A=
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This talk is based on the arXiv preprint arXiv:2603.1137.
LOCATION:Room 610 G. O Jones Building
DTSTART:20261015T140000
DTEND:20261015T150000
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