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Creators/Authors contains: "Balasubramanian, Aswin"

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  1. ; ; ; (, Annales Henri Poincaré)
    Free, publicly-accessible full text available April 17, 2026
  2. ; ; (, Letters in high energy physics)
    Motivated by the connection to 4d N = 2 theories, we study the global behavior of families of tamely-ramified SLN 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 FO, 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 M0,4, we compute this vector bundle explicitly. Finally, we give a classification of the allowed pairs (O,H) that can arise for any given N. 
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