In this paper we generalize the theory of multiplicative G-Higgs bundles over a curve to pairs (G, θ), where G is a reductive algebraic group and θ is an involution of G.This generalization involves the notion of a multiplicative Higgs bundle taking values in a symmetric variety associated to θ, or in an equivariant embedding of it.We also study how these objects appear as fixed points of involutions of the moduli space of multiplicative G-Higgs bundles, induced by the involution θ.
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Gallego et al. (2024) studied this question.
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