Compact T-branes

Abstract

We analyse global aspects of 7-brane backgrounds with a non-commuting profile for their worldvolume scalars, also known as T-branes. In particular, we consider configurations with no poles and globally well-defined over a compact Kähler surface. We find that such T-branes cannot be constructed on surfaces of positive or vanishing Ricci curvature. For the existing T-branes, we discuss their stability as we move in Kähler moduli space at large volume and provide examples of T-branes splitting into non-mutually-supersymmetric constituents as they cross a stability wall.

37 pages, 1 figure, 2 appendices; minor corrections and reference added

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• General Prescription for Global U(1)'s in 6D SCFTs
• Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory
• SUSY enhancement from T-branes
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• Singular Geometry and Higgs Bundles in String Theory
• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• Nilpotent Networks and 4D RG Flows
• Geometric Unification of Higgs Bundle Vacua
• The two faces of T-branes
• T-branes and defects
• A vanishing theorem for T-branes
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings