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arXiv · 2301.08236

Harmonic metrics for the Hull-Strominger system and stability

Mario Garcia-Fernandez·Raul Gonzalez Molina
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Abstract

We investigate stability conditions related to the existence of solutions of the Hull-Strominger system with prescribed balanced class. We build on recent work by the authors, where the Hull-Strominger system is recasted using non-Hermitian Yang-Mills connections and holomorphic Courant algebroids. Our main development is a notion of harmonic metric for the Hull-Strominger system, motivated by an infinite-dimensional hyperK\"ahler moment map and related to a numerical stability condition, which we expect to exist generically for families of solutions. We illustrate our theory with an infinite number of continuous families of examples on the Iwasawa manifold.

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Mario Garcia-Fernandez, Raul Gonzalez Molina. 2023-01-19. Harmonic metrics for the Hull-Strominger system and stability. https://arxiv.org/abs/2301.08236

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