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- W2959967437 abstract "We describe discrete symmetries of two-dimensional Yang–Mills theory with gauge group G associated with outer automorphisms of G, and their corresponding defects. We show that the gauge theory partition function with defects can be computed as a path integral over the space of twisted G-bundles and calculate it exactly. We argue that its weak-coupling limit computes the symplectic volume of the moduli space of flat twisted G-bundles on a surface. Using the defect network approach to generalised orbifolds, we gauge the discrete symmetry and construct the corresponding orbifold theory, which is again two-dimensional Yang–Mills theory but with gauge group given by an extension of G by outer automorphisms. With the help of the orbifold completion of the topological defect bicategory of two-dimensional Yang–Mills theory, we describe the reverse orbifold using a Wilson line defect for the discrete gauge symmetry. We present our results using two complementary approaches: in the lattice regularisation of the path integral, and in the functorial approach to area-dependent quantum field theories with defects via regularised Frobenius algebras." @default.
- W2959967437 created "2019-07-23" @default.
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- W2959967437 date "2022-03-02" @default.
- W2959967437 modified "2023-09-25" @default.
- W2959967437 title "Symmetry defects and orbifolds of two-dimensional Yang–Mills theory" @default.
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- W2959967437 doi "https://doi.org/10.1007/s11005-021-01476-0" @default.
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