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Extended Riemannian geometry II: local heterotic double field theory

  • Andreas Deser
  • Marc Andre Heller
  • Christian Sämann
Open Access
Regular Article - Theoretical Physics

Abstract

We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT. We start by developing in detail the differential graded manifold that captures heterotic Generalized Geometry which leads to new observations on the generalized metric and its twists. We then give a symplectic pre-NQ-manifold that captures the symmetries and the geometry of local heterotic DFT. We derive a weakened form of the section condition, which arises algebraically from consistency of the symmetry Lie 2-algebra and its action on extended tensors. We also give appropriate notions of twists — which are required for global formulations — and of the torsion and Riemann tensors. Finally, we show how the observed α′-corrections are interpreted naturally in our framework.

Keywords

Differential and Algebraic Geometry Superstrings and Heterotic Strings Flux compactifications 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Andreas Deser
    • 1
  • Marc Andre Heller
    • 2
  • Christian Sämann
    • 3
  1. 1.Istituto Nationale di Fisica NucleareTorinoItaly
  2. 2.Particle Theory and Cosmology Group, Department of Physics, Graduate School of ScienceTohoku UniversitySendaiJapan
  3. 3.Maxwell Institute for Mathematical Sciences, Department of MathematicsHeriot-Watt UniversityEdinburghU.K.

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