English

Linear Sigma Models with Torsion

High Energy Physics - Theory 2015-05-28 v4 Algebraic Geometry

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

R2 v1 2026-06-21T18:31:56.818Z