Aspects of (0,2) Orbifolds and Mirror Symmetry
Ralph Blumenhagen, Michael Flohr
TL;DR
This paper explores (0,2) orbifolds and mirror symmetry, analyzing their superpotentials, symmetries, and implications for Yukawa couplings in string theory compactifications.
Contribution
It provides detailed examples of (0,2) orbifolds and discusses how (0,2) mirror symmetry can be used to compute Yukawa couplings.
Findings
Discrete symmetries in (0,2) Landau-Ginzburg models lead to consistent vacua
Mirror symmetry relates different (0,2) models and simplifies Yukawa coupling calculations
Detailed case studies illustrate the structure of (0,2) orbifolds
Abstract
We study orbifolds of (0,2) models and their relation to (0,2) mirror symmetry. In the Landau-Ginzburg phase of a (0,2) model the superpotential features a whole bunch of discrete symmetries, which by quotient action lead to a variety of consistent (0,2) vacua. We study a few examples in very much detail. Furthermore, we comment on the application of (0,2) mirror symmetry to the calculation of Yukawa couplings in the space-time superpotential.
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