Advances in Theoretical and Mathematical Physics

Volume 7 (2003)

Number 5

(0,2) Duality

Pages: 865 – 950



Allan Adams

Anirban Basu

Savdeep Sethi


We construct dual descriptions of (0, 2) gauged linear sigma models. In some cases, the dual is a (0, 2) Landau-Ginzburg theory, while in other cases, it is a non-linear sigma model. The duality map defines an analogue of mirror symmetry for (0, 2) theories. Using the dual description, we determine the instanton corrected chiral ring for some illustrative examples. This ring defines a (0, 2) generalization of the quantum cohomology ring of (2, 2) theories.

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