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arXiv · 2601.10270

Three-dimensional compact Heterotic solitons with parallel torsion

Andrei Moroianu·Miguel Pino Carmona·C. S. Shahbazi
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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.

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Andrei Moroianu, Miguel Pino Carmona, C. S. Shahbazi. 2026-01-15. Three-dimensional compact Heterotic solitons with parallel torsion. https://arxiv.org/abs/2601.10270

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