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Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_\infty$ algebra

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.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.1007/JHEP10(2018)179

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Merton College
ORCID:
0000-0001-6178-7538
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Minasian, R More by this author
Strickland-Constable, C More by this author
Svanes, EE More by this author
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Grant:
*Grant Number Example*
Publisher:
Springer Verlag Publisher's website
Journal:
Journal of High Energy Physics Journal website
Volume:
2018
Issue:
10
Pages:
Article: 179
Publication date:
2018-10-29
Acceptance date:
2018-10-18
DOI:
EISSN:
1029-8479
ISSN:
1126-6708
Pubs id:
pubs:910065
URN:
uri:5b2b2b5b-d891-400c-a641-51cf1593485e
UUID:
uuid:5b2b2b5b-d891-400c-a641-51cf1593485e
Local pid:
pubs:910065

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