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• W3094904869 abstract "A bstract We consider regular polystable Higgs pairs ( E, ϕ ) on compact complex manifolds. We show that a non-trivial Higgs field ϕ ∈ H 0 (End( E ) ⊗ K S ) restricts the Ricci curvature of the manifold, generalising previous results in the literature. In particular ϕ must vanish for positive Ricci curvature, while for trivial canonical bundle it must be proportional to the identity. For Kähler surfaces, our results provide a new vanishing theorem for solutions to the Vafa-Witten equations. Moreover they constrain supersymmetric 7-brane configurations in F-theory, giving obstructions to the existence of T-branes, i.e. solutions with [ ϕ, ϕ † ] ≠ 0. When non-trivial Higgs fields are allowed, we give a general characterisation of their structure in terms of vector bundle data, which we then illustrate in explicit examples." @default.
• W3094904869 created "2020-11-09" @default.
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• W3094904869 date "2020-11-01" @default.
• W3094904869 modified "2023-09-26" @default.
• W3094904869 title "A vanishing theorem for T-branes" @default.
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• W3094904869 doi "https://doi.org/10.1007/jhep11(2020)002" @default.
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