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

Anthony Ashmore; Xenia de la Ossa; Ruben Minasian; Charles Strickland-Constable; Eirik Eik Svanes

doi:10.1007/JHEP10(2018)179

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

Anthony Ashmore, Xenia de la Ossa, Ruben Minasian, Charles Strickland-Constable, Eirik Eik Svanes

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Abstract

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.

Original language	English
Article number	179
Number of pages	60
Journal	Journal of High Energy Physics (JHEP)
Volume	2018
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2018)179
Publication status	Published - 29 Oct 2018

Keywords

Differential and Algebraic Geometry
Flux compactifications
Superstring Vacua
Superstrings and Heterotic Strings

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10.1007/JHEP10(2018)179Licence: CC BY

Ashmore2018_Article_FiniteDeformationsFromAHeterot
© 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.
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abstract = "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. ",

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AU - Strickland-Constable, Charles

AU - Svanes, Eirik Eik

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KW - Differential and Algebraic Geometry

KW - Flux compactifications

KW - Superstring Vacua

KW - Superstrings and Heterotic Strings

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

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