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Old issues and linear sigma models. (English) Zbl 1269.81218

Summary: Using mirror symmetry, we resolve an old puzzle in the linear sigma model description of the space-time Higgs mechanism in a heterotic string compactification with (2,2) worldsheet supersymmetry. The resolution has a nice space-time interpretation via the normalization of physical fields and suggests that with a little care deformations of the linear sigma model can describe heterotic Higgs branches.

MSC:

81V22 Unified quantum theories
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
14J33 Mirror symmetry (algebro-geometric aspects)
81T20 Quantum field theory on curved space or space-time backgrounds
81T60 Supersymmetric field theories in quantum mechanics
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