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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9 Citations (Scopus)
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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 languageEnglish
Article number179
Number of pages60
JournalJournal of High Energy Physics (JHEP)
Volume2018
Issue number10
DOIs
Publication statusPublished - 29 Oct 2018

Keywords

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

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