Old issues and linear sigma models

Abstract

Using mirror symmetry, we resolve an old puzzle in the linear sigma model description of the spacetime Higgs mechanism in a heterotic string compactification with (2,2) worldsheet supersymmetry. The resolution has a nice spacetime 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.

31 pages, xy-pic diagrams; v2: some additional comments, typos corrected, improved discussion in appendix; v3: atmp format

References in corpus (13)

• Phases of $N=2$ Theories In Two Dimensions
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• Criteria for Conformal Invariance of (0,2) Models
• Residues and World-Sheet Instantons
• Computing the Complete Massless Spectrum of a Landau-Ginzburg Orbifold
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• The Monomial-Divisor Mirror Map
• The Revival of (0,2) Linear Sigma Models
• On the Instanton Contributions to the Masses and Couplings of $E_6$ Singlets
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• (0,2) Elephants
• Yukawa Couplings on Quintic Threefolds

Cited by in corpus (5)

• Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties
• Accidents in (0,2) Landau-Ginzburg theories
• Chiral operators in two-dimensional (0,2) theories and a test of triality
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Heterotic Flux Geometry from Chiral Gauge Dynamics