Heterotic backgrounds via generalised geometry: moment maps and moduli
Reads0
Chats0
TLDR
In this paper, the authors describe the geometry of generic heterotic backgrounds preserving minimal supersymmetry in four dimensions using the language of generalised geometry and give both the superpotential and the Kahler potential for a generic background, showing that the latter defines a Hitchin functional for heterotic geometries.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 $SU(3)\times Spin(6+n)$ structure within $O(6,6+n)\times\mathbb{R}^+$ 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 Kahler 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.read more
Citations
More filters
Posted Content
Gauge theory for string algebroids
TL;DR: In this paper, a moment map picture for holomorphic string algebroids where the Hamiltonian gauge action is described by means of Morita equivalences is introduced, and the zero locus of the moment map is given by the solutions of the Calabi system.
Automated consistent truncations and stability of flux compactifications
Harmonic metrics for the Hull-Strominger system and stability
TL;DR: In this article , the authors investigated stability conditions related to the existence of solutions of the Hull-Strominger system with prescribed balanced class, motivated by an infinite-dimensional hyperKahler moment map and related to a numerical stability condition.
Futaki Invariants and Yau's Conjecture on the Hull-Strominger system
TL;DR: In this paper , a new obstruction to the existence of solutions of the Hull-Strominger system was found, which goes beyond the balanced property of the Calabi-Yau manifold and the Mumford-Takemoto slope stability of the bundle over it.
The Strominger system in the square of a K\"ahler class
TL;DR: In this article , the Strominger system with balanced class is studied and it is shown that classes which are the square of a K¨ahler metric admit solutions to the system for vector bundles satisfying the necessary conditions.
References
More filters
Book
Supersymmetry and Supergravity
Julius Wess,Jonathan Bagger +1 more
TL;DR: The second edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess as discussed by the authors, where the authors presented a general supersymmetric gauge invariant theory of chiral fields interacting with supergravity.
Journal ArticleDOI
Vacuum configurations for superstrings
TL;DR: In this paper, the authors studied candidate vacuum configurations in ten-dimensional O(32) and E 8 × E 8 supergravity and superstring theory that have unbroken N = 1 supersymmetry in four dimensions.
Journal ArticleDOI
CFT's from Calabi–Yau four-folds
TL;DR: In this article, the authors consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau fourfold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes.
Journal ArticleDOI
Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
TL;DR: In this paper, a correspondance entre the geometries algebrique and the geometry differentielle des fibres vectoriels is presented, and a connexion irreductible d'Hermite-Einstein par rapport a metrique ω.
Journal ArticleDOI
Generalized Calabi-Yau manifolds
TL;DR: A geometrical structure on even-dimensional manifolds is defined in this paper, which generalizes the notion of a Calabi-Yau manifold and also a symplectic manifold.
Related Papers (5)
Exceptional Calabi–Yau spaces: the geometry of N=2 backgrounds with flux
Anthony Ashmore,Daniel Waldram +1 more