2017/10/31 by Marc-Antoine Fiset, Callum Quigley, Eirik Eik Svanes · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math.DG
paper · pdf · doi:10.1007/jhep02(2018)052
Minor changes: Added references and a section on classical symmetries. 24 pages, 1 figure, 1 table
arxiv created 2017/12/09 · arxiv updated 2018/02/23
Recently, the infinitesimal moduli space of heterotic G2 compactifications was described in supergravity and related to the cohomology of a target space differential. In this paper we identify the marginal deformations of the corresponding heterotic nonlinear sigma model with cohomology classes of a worldsheet BRST operator. This BRST operator is nilpotent if and only if the target space geometry satisfies the heterotic supersymmetry conditions. We relate this to the supergravity approach by showing that the corresponding cohomologies are indeed isomorphic. We work at tree-level in α' perturbation theory and study general geometries, in particular with non-vanishing torsion.