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- W4382658153 abstract "Motivated by the connection to 4d $mathcal{N}=2$ theories, we study the global behavior of families of tamely-ramified $SL_N$ Hitchin integrable systems as the underlying curve varies over the Deligne-Mumford moduli space of stable pointed curves. In particular, we describe a flat degeneration of the Hitchin system to a nodal base curve and show that the behaviour of the integrable system at the node is partially encoded in a pair $(O,H)$ where $O$ is a nilpotent orbit and $H$ is a simple Lie subgroup of $F_{O}$, the flavour symmetry group associated to $O$. The family of Hitchin systems is nontrivially-fibered over the Deligne-Mumford moduli space. We prove a non-obvious result that the Hitchin bases fit together to form a vector bundle over the compactified moduli space. For the particular case of $overline{mathcal{M}}_{0,4}$, we compute this vector bundle explicitly. Finally, we give a classification of the allowed pairs $(O,H)$ that can arise for any given $N$." @default.
- W4382658153 created "2023-07-01" @default.
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- W4382658153 date "2020-08-03" @default.
- W4382658153 modified "2023-10-13" @default.
- W4382658153 title "Families of Hitchin systems and N=2 theories" @default.
- W4382658153 doi "https://doi.org/10.4310/atmp.2022.v26.n6.a2" @default.
- W4382658153 hasPublicationYear "2020" @default.
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