Finite deformations from a heterotic superpotential: holomorphic Chern-Simons and an L∞ algebra

Ashmore, Anthony, de la Ossa, Xenia, Minasian, Ruben, Strickland-Constable, Charles and Svanes, Eirik Eik (2018) Finite deformations from a heterotic superpotential: holomorphic Chern-Simons and an L∞ algebra. Journal of High Energy Physics (JHEP), 2018 (10): 179. ISSN 1126-6708

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We consider finite deformations of the Hull-Strominger system. Starting from the heterotic superpotential, we identify complex coordinates on the off-shell parameter space. Expanding the superpotential around a supersymmetric vacuum leads to a thirdorder Maurer-Cartan equation that controls the moduli. The resulting complex effective action generalises that of both Kodaira-Spencer and holomorphic Chern-Simons theory. The supersymmetric locus of this action is described by an L3 algebra.

Item Type	Article
Identification Number	10.1007/JHEP10(2018)179
Additional information	© 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 - https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Keywords	differential and algebraic geometry, flux compactifications, superstring vacua, superstrings and heterotic strings, nuclear and high energy physics
Date Deposited	15 May 2025 13:59
Last Modified	30 Jan 2026 00:18