Three-dimensional compact Heterotic solitons with parallel torsion
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908768615268352 |
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| author | Moroianu, Andrei Carmona, Miguel Pino Shahbazi, C. S. |
| author_facet | Moroianu, Andrei Carmona, Miguel Pino Shahbazi, C. S. |
| contents | We obtain a rigidity result for compact three-dimensional Heterotic solitons with parallel non-trivial torsion. We show that they are either hyperbolic three-manifolds or compact quotients of the Heisenberg group equipped with a left-invariant metric. In particular, the latter arise both as solitons with completely skew-symmetric torsion as well as with non-vanishing twistorial component. As a corollary, we obtain the universal bound $-24$ for the scalar curvature of Heterotic solitons with parallel skew-symmetric torsion, which prevents it from being arbitrarily large. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10270 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Three-dimensional compact Heterotic solitons with parallel torsion Moroianu, Andrei Carmona, Miguel Pino Shahbazi, C. S. Differential Geometry Mathematical Physics We obtain a rigidity result for compact three-dimensional Heterotic solitons with parallel non-trivial torsion. We show that they are either hyperbolic three-manifolds or compact quotients of the Heisenberg group equipped with a left-invariant metric. In particular, the latter arise both as solitons with completely skew-symmetric torsion as well as with non-vanishing twistorial component. As a corollary, we obtain the universal bound $-24$ for the scalar curvature of Heterotic solitons with parallel skew-symmetric torsion, which prevents it from being arbitrarily large. |
| title | Three-dimensional compact Heterotic solitons with parallel torsion |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2601.10270 |