Linear Sigma Models with Torsion
Abstract
Gauged linear sigma models with (0,2) supersymmetry allow a larger choice of couplings than models with (2,2) supersymmetry. We use this freedom to find a fully linear construction of torsional heterotic compactifications, including models with branes. As a non-compact example, we describe a family of metrics which correspond to deformations of the heterotic conifold by turning on H-flux. We then describe compact models which are gauge-invariant only at the quantum level. Our construction gives a generalization of symplectic reduction. The resulting spaces are non-Kahler analogues of familiar toric spaces like complex projective space. Perturbatively conformal models can be constructed by considering intersections.
Keywords
Cite
@article{arxiv.1107.0714,
title = {Linear Sigma Models with Torsion},
author = {Callum Quigley and Savdeep Sethi},
journal= {arXiv preprint arXiv:1107.0714},
year = {2015}
}
Comments
40 pages, LaTeX, 1 figure; references added; a new section on supersymmetry added; quantization condition revisited