Abstract
Abstract
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) × 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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference104 articles.
1. C. Hull, Compactifications of the heterotic superstring, Phys. Lett. B 178 (1986) 357.
2. A. Strominger, Superstrings with torsion, Nucl. Phys. B 274 (1986) 253 [INSPIRE].
3. A. Adams, M. Ernebjerg and J.M. Lapan, Linear models for flux vacua, Adv. Theor. Math. Phys. 12 (2008) 817 [hep-th/0611084] [INSPIRE].
4. M. Kreuzer, J. McOrist, I.V. Melnikov and M. Plesser, (0, 2) deformations of linear σ-models, JHEP 07 (2011) 044 [arXiv:1001.2104] [INSPIRE].
5. J. McOrist, The revival of (0, 2) linear σ-models, Int. J. Mod. Phys. A 26 (2011) 1 [arXiv:1010.4667] [INSPIRE].
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