(0,2) Landau-Ginzburg Theory

Details (0,2) Landau-Ginzburg Theory (0,2) Landau-Ginzburg Theory

1993-09-20

arxiv.org/abs/hep-th/9309110v2

Nucl.Phys.B413:213-243,1994

Physics

High Energy Physics

High Energy Physics - Theory

34pp, harvmac Some minor revisions to bring this into line with the published version. The main changes are in the discussion

Scientific paper

10.1016/0550-3213(94)90619-X

A large class of (0,2) Calabi-Yau $\sigma$-models and Landau-Ginzburg orbifolds are shown to arise as different ``phases'' of supersymmetric gauge theories. We find a phenomenon in the Landau-Ginzburg phase which may enable one to understand which Calabi-Yau $\sigma$-models evade destabilization by worldsheet instantons. Examples of (0,2) Landau-Ginzburg vacua are analyzed in detail, and several novel features of (0,2) models are discussed. In particular, we find that (0,2) models can have different quantum symmetries from the (2,2) models built on the same Calabi-Yau manifold, and that a new kind of topology change can occur in (0,2) models of string theory.

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