Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation

Abstract

We present a formulation of heterotic Double Field Theory (DFT), where the fundamental fields are in $O(D,D)$ representations. The theory is obtained splitting an $O(D,D+K)$ duality invariant DFT. This procedure produces a Green-Schwarz mechanism for the generalized metric, and a fundamental gauge field which transforms as a gauge connection only to leading order. After parametrization, the former induces a non-covariant transformation on the metric tensor, which can be removed considering field redefinitions, and an ordinary Green-Schwarz mechanism on the b-field. Within this framework we explore perturbative properties of heterotic DFT. We use a relaxed version of the generalized Kerr-Schild ansatz (GKSA), where the generalized background metric is perturbed up to quadratic order considering a single null vector and the gauge field is linearly perturbed before parametrization. Finally we compare the dynamics of the gauge field and the generalized metric in order to inspect the behavior of the classical double copy correspondence at the DFT level.

arXiv comment33 pages, v2: Section 6 (Discussion) with clarifications. We are very grateful to our anonymous JHEP referee. Matches published version

References in corpus (28)

• Double Field Theory
• Generalized metric formulation of double field theory
• Superspace Duality in Low-Energy Superstrings
• Noncompact Symmetries in String Theory
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• Double Field Theory: A Pedagogical Review
• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
• Exploring Double Field Theory
• Differential geometry with a projection: Application to double field theory
• Stringy differential geometry, beyond Riemann
• Double Field Theory Formulation of Heterotic Strings
• On the Riemann Tensor in Double Field Theory
• T-duality and ${\alpha }^{\prime }$-corrections
• Manifest Duality in Low-Energy Superstrings
• Frame-like Geometry of Double Field Theory
• Kerr-Schild Double Field Theory and Classical Double Copy
• Heterotic Effective Action and Duality Symmetries Revisited
• Double field formulation of Yang-Mills theory
• Macroscopic Charged Heterotic String
• The Classical Double Copy of a Point Charge
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Double Field Theory as the Double Copy of Yang-Mills
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• $\mathcal{N}=1$ Supersymmetric Double Field Theory and the generalized Kerr-Schild Ansatz
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• Background Independent Double Field Theory at Order ${\alpha }^{\prime }$: Metric vs. Frame-like Geometry
• ${\alpha }^{\prime }$-corrections and their double formulation

Cited by in corpus (3)

• Einstein-Maxwell theory and the Weyl double copy
• Classical double copy and higher-spin fields
• Kerr-Schild Double Copy of the Randall-Sundrum Black String