The decoupling of moduli about the standard embedding
High Energy Physics - Theory
2024-09-19 v2 Differential Geometry
Abstract
We study the cohomology of an elliptic differential complex arising from the infinitesimal moduli of heterotic string theory. We compute these cohomology groups at the standard embedding, and show that they decompose into a direct sum of cohomologies. While this is often assumed in the literature, it had not been explicitly demonstrated. Given a stable gauge bundle over a complex threefold with trivial canonical bundle and no holomorphic vector fields, we also show that the Euler characteristic of this differential complex is zero. This points towards a perfect obstruction theory for the heterotic moduli problem, at least for the most physically relevant compactifications.
Cite
@article{arxiv.2409.04350,
title = {The decoupling of moduli about the standard embedding},
author = {Beatrice Chisamanga and Jock McOrist and Sebastien Picard and Eirik Eik Svanes},
journal= {arXiv preprint arXiv:2409.04350},
year = {2024}
}
Comments
v2: 19 pages, minor changes to the presentation, references updated