Deformed quantum cohomology and (0,2) mirror symmetry

We compute instanton corrections to correlators in the genus-zero topological subsector of a (0, 2) supersymmetric gauged linear sigma model with target space , whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory’s chiral ring from these correlators, w...

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Published in:The journal of high energy physics 2010-08, Vol.2010 (8), Article 109
Main Authors: Guffin, Josh, Katz, Sheldon
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Correlators
Deformation
Elementary Particles
Fermions
High energy physics
Homology
Instantons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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description We compute instanton corrections to correlators in the genus-zero topological subsector of a (0, 2) supersymmetric gauged linear sigma model with target space , whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory’s chiral ring from these correlators, which reduces in the limit of zero deformation to the (2, 2) ring. Finally, we compare our results with the computations carried out by Adams et al. [ 1 ] and Katz and Sharpe [ 17 ]. We find immediate agreement with the latter and an interesting puzzle in completely matching the chiral ring of the former.
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subjects Classical and Quantum Gravitation
Correlators
Deformation
Elementary Particles
Fermions
High energy physics
Homology
Instantons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
title Deformed quantum cohomology and (0,2) mirror symmetry
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