Non-compact Mirror Bundles and (0,2) Liouville Theories

Details Non-compact Mirror Bundles and (0,2) Liouville Theories Non-compact Mirror Bundles and (0,2) Liouville Theories

2008-10-22

arxiv.org/abs/0810.4160v1

JHEP 0903:062,2009

Physics

High Energy Physics

High Energy Physics - Theory

34 pages

Scientific paper

10.1088/1126-6708/2009/03/062

We study (0,2) deformations of N=2 Liouville field theory and its mirror duality. A gauged linear sigma model construction of the ultraviolet theory connects (0,2) deformations of Liouville field theory and (0,2) deformations of N=2 SL(2,R)/U(1) coset model as a mirror duality. Our duality proposal from the gauged linear sigma model completely agrees with the exact CFT analysis. In the context of heterotic string compactifications, the deformation corresponds to the introduction of a non-trivial gauge bundle. This non-compact Landau-Ginzburg construction yields a novel way to study the gauge bundle moduli for non-compact Calabi-Yau manifolds.

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