The decoupling of moduli about the standard embedding
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913505259552768 |
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| author | Chisamanga, Beatrice McOrist, Jock Picard, Sebastien Svanes, Eirik Eik |
| author_facet | Chisamanga, Beatrice McOrist, Jock Picard, Sebastien Svanes, Eirik Eik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The decoupling of moduli about the standard embedding Chisamanga, Beatrice McOrist, Jock Picard, Sebastien Svanes, Eirik Eik High Energy Physics - Theory Differential Geometry 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. |
| title | The decoupling of moduli about the standard embedding |
| topic | High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2409.04350 |