Vector Multiplets and the Phases of N = 2 Theories in 2D Through the Looking Glass

Abstract

We extend Witten's discussion of actions related to the Landau-Ginzburg description of Calabi-Yau hypersurfaces in weighted projective spaces to cover the mirror class of models that include twisted chiral matter multiplets and a newly discovered 2D, N = 2 twisted vector multiplet. Certain integrability obstructions are observed that constrain the most general constructions containing both matter and twisted matter simultaneously. It is conjectured that knot invariants will ultimately play a role in describing the most general such model.

11 pages

References in corpus (3)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Phases of $N=2$ Theories In Two Dimensions
• On the Landau-Ginzburg Description of $N=2$ Minimal Models

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• On the Construction and the Structure of Off-Shell Supermultiplet Quotients
• Yang-Mills and Supersymmetry Covariance Must Coexist
• Gauging Yang-Mills Symmetries In 1+1-Dimensional Spacetime
• Some Algebraic Symmetries of (2,2)-Supersymmetric Systems