The decoupling of moduli about the standard embedding

Author(s)
Chisamanga, Beatrice
McOrist, Jock
Picard, Sebastien
Svanes, Eirik Eik
Publication Date
2025-01-02
Abstract
<p>We study the cohomology of an elliptic differential complex arising from the infinitesimal moduli of heterotic string theory in the supergravity approximation. 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 felds, 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 compactifcations. </p>
Citation
Journal of High Energy Physics, v.2025, p. 1-18
ISSN
1029-8479
Link
Publisher
Springer
Rights
Attribution 4.0 International
Title
The decoupling of moduli about the standard embedding
Type of document
Journal Article
Entity Type
Publication

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