Holomorphic supergravity in ten dimensions and anomaly cancellation
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917316842749952 |
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| author | Ashmore, Anthony Ibarra, Javier José Murgas Strickland-Constable, Charles Svanes, Eirik Eik |
| author_facet | Ashmore, Anthony Ibarra, Javier José Murgas Strickland-Constable, Charles Svanes, Eirik Eik |
| contents | We formulate a ten-dimensional version of Kodaira-Spencer gravity on a Calabi-Yau five-fold that reproduces the classical Maurer-Cartan equation governing supersymmetric heterotic moduli. Quantising this theory's quadratic fluctuations, we show that its one-loop partition function simplifies to products of holomorphic Ray-Singer torsions and exhibits an anomaly that factorises as in $SO(32)$ and $E_8\times E_8$ supergravity. Based on this, we conjecture that this theory is the $SU(5)$-twisted version of ten-dimensional $N=1$ supergravity coupled to Yang-Mills and show that is related to the type I Kodaira-Spencer theory of Costello-Li via a non-local field redefinition. The counter-terms needed to cancel the anomaly and retain gauge invariance for the one-loop effective theory reconstruct the differential of a recently discovered double-extension complex. This complex has non-tensorial extension classes and its first cohomology counts the infinitesimal moduli of heterotic compactifications modulo order $α'^2$ corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06003 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holomorphic supergravity in ten dimensions and anomaly cancellation Ashmore, Anthony Ibarra, Javier José Murgas Strickland-Constable, Charles Svanes, Eirik Eik High Energy Physics - Theory Differential Geometry We formulate a ten-dimensional version of Kodaira-Spencer gravity on a Calabi-Yau five-fold that reproduces the classical Maurer-Cartan equation governing supersymmetric heterotic moduli. Quantising this theory's quadratic fluctuations, we show that its one-loop partition function simplifies to products of holomorphic Ray-Singer torsions and exhibits an anomaly that factorises as in $SO(32)$ and $E_8\times E_8$ supergravity. Based on this, we conjecture that this theory is the $SU(5)$-twisted version of ten-dimensional $N=1$ supergravity coupled to Yang-Mills and show that is related to the type I Kodaira-Spencer theory of Costello-Li via a non-local field redefinition. The counter-terms needed to cancel the anomaly and retain gauge invariance for the one-loop effective theory reconstruct the differential of a recently discovered double-extension complex. This complex has non-tensorial extension classes and its first cohomology counts the infinitesimal moduli of heterotic compactifications modulo order $α'^2$ corrections. |
| title | Holomorphic supergravity in ten dimensions and anomaly cancellation |
| topic | High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2507.06003 |