Stringy Corrections to Heterotic SU(3)-Geometry
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916895079268352 |
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| author | McOrist, Jock Picard, Sebastien |
| author_facet | McOrist, Jock Picard, Sebastien |
| contents | We analyse the $α'^2$ corrections to the supersymmetry algebra constructed by Bergshoeff--de Roo for heterotic compactifications on SU(3) manifolds. The geometry is complex and conformally balanced. We find an integrability condition for solutions related to the graviton equation of motion together with a correction that is pure gauge. We derive the same condition independently from hermitian geometry. The curvature of the tangent bundle connection acquires a nonzero (0,2) component and thus is not an instanton, illustrating how $α'$-corrections can disrupt semi-classical intuition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02388 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stringy Corrections to Heterotic SU(3)-Geometry McOrist, Jock Picard, Sebastien High Energy Physics - Theory Differential Geometry We analyse the $α'^2$ corrections to the supersymmetry algebra constructed by Bergshoeff--de Roo for heterotic compactifications on SU(3) manifolds. The geometry is complex and conformally balanced. We find an integrability condition for solutions related to the graviton equation of motion together with a correction that is pure gauge. We derive the same condition independently from hermitian geometry. The curvature of the tangent bundle connection acquires a nonzero (0,2) component and thus is not an instanton, illustrating how $α'$-corrections can disrupt semi-classical intuition. |
| title | Stringy Corrections to Heterotic SU(3)-Geometry |
| topic | High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2507.02388 |