Infinitesimal automorphisms and obstruction theory on the moduli of $L$-valued $G$-Higgs bundles

Sanghyeon Lee, Sang-Bum Yoo

For an arbitrary reductive group $G$, we compute the infinitesimal automorphisms of $L$-valued principal $G$-Higgs bundles over a compact Kähler manifold $X$, extending known resu…