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arXiv · 2201.07300

3-dimensional mixed BF theory and Hitchin's integrable system

Benoit Vicedo·Jennifer Winstone
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Abstract

The affine Gaudin model, associated with an untwisted affine Kac-Moody algebra, is known to arise from a certain gauge fixing of 4-dimensional mixed topological-holomorphic Chern-Simons theory in the Hamiltonian framework. We show that the finite Gaudin model, associated with a finite-dimensional semisimple Lie algebra, or more generally the tamely ramified Hitchin system on an arbitrary Riemann surface, can likewise be obtained from a similar gauge fixing of 3-dimensional mixed BF theory in the Hamiltonian framework.

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Benoit Vicedo, Jennifer Winstone. 2022-01-18. 3-dimensional mixed BF theory and Hitchin's integrable system. https://doi.org/10.1007/s11005-022-01567-6

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