Heterotic string from a higher dimensional perspective

Abstract

The (abelian bosonic) heterotic string effective action, equations of motion and Bianchi identity at order alpha prime in ten dimensions, are shown to be equivalent to a higher dimensional action, its derived equations of motion and Bianchi identity. The two actions are the same up to the gauge fields: the latter are absorbed in the higher dimensional fields and geometry. This construction is inspired by heterotic T-duality, which becomes natural in this higher dimensional theory. We also prove the equivalence of the heterotic string supersymmetry conditions with higher dimensional geometric conditions. Finally, some known Kahler and non-Kahler heterotic solutions are shown to be trivially related from this higher dimensional perspective, via a simple exchange of directions. This exchange can be encoded in a heterotic T-duality, and it may also lead to new solutions.

43 pages; minor changes; version published in NPB

References in corpus (9)

• Lectures on Generalized Complex Geometry for Physicists
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• Geometries, Non-Geometries, and Fluxes
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• Torsion-free generalized connections and Heterotic Supergravity
• β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework
• Heterotic $\alpha$'-corrections in Double Field Theory
• Algebroids, Heterotic Moduli Spaces and the Strominger System
• Half-maximal supersymmetry from exceptional field theory
• Refining the boundaries of the classical de Sitter landscape
• World-volume Effective Actions of Exotic Five-branes
• Linear Sigma Models with Torsion
• Connections, Field Redefinitions and Heterotic Supergravity
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
• Moduli Stabilising in Heterotic Nearly Kähler Compactifications
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• A no-go theorem for monodromy inflation
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory
• Pseudo-Supergravity Extension of the Bosonic String
• T-Duality in Gauged Linear Sigma-Models with Torsion
• A Landscape of Field Theories
• Moduli in General $SU(3)$-Structure Heterotic Compactifications