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- W4330338568 abstract "Quantum Calogero-Moser spin system is a superintegable system with the spectrum of commuting Hamiltonians that can be described entirely in terms of representation theory of corresponding simple Lie group. In this paper the underlying Lie group G is a compact connected, simply connected simple Lie group. It has a natural generalization known as quantum Calogero-Moser spin chain. In the first part of the paper we show that quantum Calogero-Moser spin chain is a quantum superintegrable systems. Then we show that the Euclidean multi-time propagator for this model can be written as a partition function of a two-dimensional Yang-Mills theory on a cylinder. Then we argue that the two-dimensional Yang-Mills theory with Wilson loops with outer ends should be regarded as the theory on space times with non-removable corners. Partition functions of such theory satisfy non-stationary Calogero-Moser equations." @default.
- W4330338568 created "2023-03-22" @default.
- W4330338568 creator A5011211902 @default.
- W4330338568 date "2023-03-19" @default.
- W4330338568 modified "2023-09-27" @default.
- W4330338568 title "Spin Calogero-Moser periodic chains and two dimensional Yang-Mills theory with corners" @default.
- W4330338568 doi "https://doi.org/10.48550/arxiv.2303.10579" @default.
- W4330338568 hasPublicationYear "2023" @default.
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