Cubic action in double field theory

Abstract L∞ algebras describe the underlying algebraic structure of many consistent classical field theories. In this work we analyze the algebraic structure of Gauged Double Field Theory in the generalized flux formalism. The symmetry transformations consist of a generalized deformed Lie derivative and double Lorentz transformations. We obtain all the non-trivial products in a closed form considering a generalized Kerr-Schild ansatz for the generalized frame and we include a linear perturbation for the generalized dilaton. The off-shell structure can be cast in an L3 algebra and when one considers dynamics the former is exactly promoted to an L4 algebra. The present computations show the fully algebraic structure of the fundamental charged heterotic string and the $$ {L}_3^{\mathrm{gauge}} $$ L 3 gauge structure of (Bosonic) Enhanced Double Field Theory.

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Non-Riemannian gravity actions from double field theory

Journal of High Energy Physics ◽

10.1007/jhep06(2021)173 ◽

2021 ◽

Vol 2021 (6) ◽

Author(s):

A. D. Gallegos ◽

U. Gürsoy ◽

S. Verma ◽

N. Zinnato

Keyword(s):

Field Theory ◽

Quantum Gravity ◽

Condensed Matter ◽

Equations Of Motion ◽

Technical Note ◽

Action Principle ◽

Relativistic Symmetry ◽

Gravitational Theories ◽

Double Field Theory

Abstract Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting to study condensed matter systems with non-relativistic symmetry. Derivation of an action principle for these theories generally proved challenging for various reasons. In this technical note, we employ the formulation of double field theory to construct actions for a variety of such theories. This formulation helps removing ambiguities in the corresponding equations of motion. In particular, we embed Torsional Newton-Cartan gravity, Carrollian gravity and String Newton-Cartan gravity in double field theory, derive their actions and compare with the previously obtained results in literature.

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Exotic branes in Double Field Theory

EPJ Web of Conferences ◽

10.1051/epjconf/201612505017 ◽

2016 ◽

Vol 125 ◽

pp. 05017 ◽

Cited By ~ 2

Author(s):

Edvard Musaev

Keyword(s):

Field Theory ◽

Double Field Theory

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Worldsheet instanton corrections to five-branes and waves in double field theory

Journal of High Energy Physics ◽

10.1007/jhep07(2018)001 ◽

2018 ◽

Vol 2018 (7) ◽

Cited By ~ 8

Author(s):

Tetsuji Kimura ◽

Shin Sasaki ◽

Kenta Shiozawa

Keyword(s):

Field Theory ◽

Double Field Theory

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Higher-derivative heterotic Double Field Theory and classical double copy

Journal of High Energy Physics ◽

10.1007/jhep07(2021)072 ◽

2021 ◽

Vol 2021 (7) ◽

Author(s):

Eric Lescano ◽

Jesús A. Rodríguez

Keyword(s):

Field Theory ◽

Exact Solutions ◽

Maxwell Equations ◽

Action Principle ◽

Low Energy ◽

Gauge Fields ◽

Metric Tensor ◽

Higher Derivative ◽

Double Field Theory ◽

Double Copy

Abstract The generalized Kerr-Schild ansatz (GKSA) is a powerful tool for constructing exact solutions in Double Field Theory (DFT). In this paper we focus in the heterotic formulation of DFT, considering up to four-derivative terms in the action principle, while the field content is perturbed by the GKSA. We study the inclusion of the generalized version of the Green-Schwarz mechanism to this setup, in order to reproduce the low energy effective heterotic supergravity upon parametrization. This formalism reproduces higher-derivative heterotic background solutions where the metric tensor and Kalb-Ramond field are perturbed by a pair of null vectors. Next we study higher-derivative contributions to the classical double copy structure. After a suitable identification of the null vectors with a pair of U(1) gauge fields, the dynamics is given by a pair of Maxwell equations plus higher derivative corrections in agreement with the KLT relation.

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