Heterotic backgrounds via generalised geometry: moment maps and moduli

Ashmore, Anthony; Strickland-Constable, Charles; Tennyson, David; Waldram, Daniel

doi:10.1007/jhep11(2020)071

Title: Heterotic backgrounds via generalised geometry: moment maps and moduli

Journal Article · Mon Nov 16 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2020)071· OSTI ID:1851032

^[1]; Strickland-Constable, Charles ^[2]; Tennyson, David ^[3]; Waldram, Daniel ^[3]

Univ. of Chicago, IL (United States); Sorbonne Univ., Paris (France)
Univ. of Hertfordshire, Hatfield (United Kingdom)
Imperial College, London (United Kingdom)

We describe the geometry of generic heterotic backgrounds preserving minimal supersymmetry in four dimensions using the language of generalised geometry. They are characterised by an SU(3) × Spin(6 + n) structure within O(6, 6 + n) x $$\mathbb{R}$$⁺ generalised geometry. Supersymmetry of the background is encoded in the existence of an involutive subbundle of the generalised tangent bundle and the vanishing of a moment map for the action of diffeomorphisms and gauge symmetries. We give both the superpotential and the Kähler potential for a generic background, showing that the latter defines a natural Hitchin functional for heterotic geometries. Intriguingly, this formulation suggests new connections to geometric invariant theory and an extended notion of stability. Finally we show that the analysis of infinitesimal deformations of these geometric structures naturally reproduces the known cohomologies that count the massless moduli of supersymmetric heterotic backgrounds.

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Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Science and Technology Facilities Council (STFC)

Grant/Contract Number:: SC0007901; ST/P000762/1

OSTI ID:: 1851032

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 11; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Eigenvalues and eigenforms on Calabi-Yau threefolds Ashmore, Anthony arXiv https://doi.org/10.48550/arxiv.2011.13929	preprint	January 2020
Heterotic solitons on four-manifolds Moroianu, Andrei; Murcia, Ángel; Shahbazi, C. S. arXiv https://doi.org/10.48550/arxiv.2101.10309	text	January 2021

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