dorsal/arxiv
View SchemaThree-dimensional compact Heterotic solitons with parallel torsion
| Authors | Andrei Moroianu, Miguel Pino Carmona, C. S. Shahbazi |
|---|---|
| Categories | |
| ArXiv ID | 2601.10270vv1 |
| URL | https://arxiv.org/abs/2601.10270 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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.
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"abstract": "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.",
"arxiv_id": "2601.10270",
"authors": [
"Andrei Moroianu",
"Miguel Pino Carmona",
"C. S. Shahbazi"
],
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"math.DG",
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Three-dimensional compact Heterotic solitons with parallel torsion",
"url": "https://arxiv.org/abs/2601.10270",
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