Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties

Details Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aipc..805..411k&link_type=abstract

PARTICLES, STRINGS, AND COSMOLOGY: 11th International Symposium on Particles, Strings, and Cosmology; PASCOS 2005. AIP Conferen

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Gauge Field Theories, Conformal Field Theory, Algebraic Structures

Scientific paper

We study gauged linear sigma models for noncompact Calabi-Yau manifolds described as a line bundle on a hypersurface in a projective space. This gauge theory has a unique phase if the Fayet-Iliopoulos parameter is positive, while there exist two distinct phases if the parameter is negative. In the T-dual theory, on the other hand, we obtain two types of exact massless effective theories: One is the sigma model on a newly obtained Calabi-Yau geometry as a mirror dual, while the other is given by a Landau-Ginzburg theory with a negative power term, indicating N = 2 superconformal field theory on SL(2,R)/U(1). We argue that the effective theories in the original gauged linear sigma model are exactly realized as N = 2 Liouville theories coupled to well-defined Landau-Ginzburg minimal models.

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