A Heterotic Hermitian--Yang--Mills Equivalence

2024/02/15 by Jock McOrist, McOrist, Jock, Sébastien D. Le Picard +3 · 2 citations
Mathematics · #Graph theory and applications #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2402.10354

Abstract

We consider N=1, d=4 vacua of heterotic theories in the large radius limit in which alpha' << 1. We construct a real differential operator D= D+D on an extension bundle (Q, D) with underlying topology Q=(T^1,0X)^* ⊕ \rm End E ⊕ T^1,0 X whose curvature is holomorphic and Hermitian-Yang-Mills with respect to the complex structure and metric on the underlying non-Kahler complex 3-fold X if and only if the heterotic supersymmetry equations and Bianchi identity are satisfied. This is suggestive of an analogue of the Donaldson--Uhlenbeck--Yau correspondence for heterotic vacua of this type.

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• Holomorphic supergravity in ten dimensions and anomaly cancellation
• Stringy Corrections to Heterotic SU(3)-Geometry

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