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We study the non-relativistic (NR) limit of HSZ theory, a higher-derivative theory of gravity with exact and manifest T-duality invariance. Since the theory can be formulated using the generalized metric formalism, the HSZ Lagrangian…

High Energy Physics - Theory · Physics 2025-12-22 Eric Lescano

Higher-derivative interactions and transformation rules of the fields in the effective field theories of the massless string states are strongly constrained by space-time symmetries and dualities. Here we use an exact formulation of ten…

High Energy Physics - Theory · Physics 2021-07-28 Eric Lescano , Carmen A. Núñez , Jesús A. Rodríguez

We relate the unconstrained `double metric' of the `$\alpha'$-geometry' formulation of double field theory to the constrained generalized metric encoding the spacetime metric and b-field. This is achieved by integrating out auxiliary field…

High Energy Physics - Theory · Physics 2016-03-23 Olaf Hohm , Barton Zwiebach

Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local $O(d,d)$ transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to…

High Energy Physics - Theory · Physics 2020-10-06 Tomas Codina , Diego Marques

The $\alpha'$-deformed frame-like Double Field Theory (DFT) is a T-duality and gauge invariant extension of DFT in which generalized Green-Schwarz transformations provide a gauge principle that fixes the higher-derivative corrections. It…

High Energy Physics - Theory · Physics 2017-05-24 Walter H. Baron , Jose J. Fernandez-Melgarejo , Diego Marques , Carmen Nunez

We construct an $O(d,d)$ invariant universal formulation of the first-order $\alpha'$-corrections of the string effective actions involving the dilaton, metric and two-form fields. Two free parameters interpolate between four-derivative…

High Energy Physics - Theory · Physics 2015-12-24 Diego Marques , Carmen A. Nunez

We determine the complete spacetime action to first order in $\alpha'$ for the massless fields of bosonic string theory compactified on a $d$-dimensional torus. A fully systematic procedure is developed that brings the action into a minimal…

High Energy Physics - Theory · Physics 2020-03-11 Camille Eloy , Olaf Hohm , Henning Samtleben

We dimensionally reduce the spacetime action of bosonic string theory, and that of the bosonic sector of heterotic string theory after truncating the Yang-Mills gauge fields, on a $d$-dimensional torus including all higher-derivative…

High Energy Physics - Theory · Physics 2020-07-08 Camille Eloy , Olaf Hohm , Henning Samtleben

We consider the target space theory of bosonic and heterotic string theory to first order in $\alpha'$ compactified to three dimensions, using a formulation that is manifestly T-duality invariant under ${\rm O}(d,d,\mathbb{R})$ with $d=23$…

High Energy Physics - Theory · Physics 2023-08-02 Camille Eloy , Olaf Hohm , Henning Samtleben

We study the higher derivative corrections that occur in type II superstring theories in ten dimensions or less. Assuming invariance under a discrete duality group G(Z) we show that the generic functions of the scalar fields that occur can…

High Energy Physics - Theory · Physics 2008-11-26 Neil Lambert , Peter West

This study examines the consistency of heterotic supergravity under T-duality when the $B$-field gauge transformation is rendered anomalous by the Green-Schwarz mechanism. We demonstrate that T-duality invariance mandates an infinite tower…

High Energy Physics - Theory · Physics 2026-01-29 Mohammad R. Garousi

Recent advances in the off-shell formulation of the Double Copy (DC) procedure have revealed a profound connection between gauge theories and T-duality invariant frameworks. The main example is Double Field Theory (DFT), emerging as the the…

High Energy Physics - Theory · Physics 2025-11-25 Eric Lescano , Jesús A. Rodríguez

We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the…

High Energy Physics - Theory · Physics 2025-09-09 Walter H. Baron , Diego Marques

The linearized massive gravity in three dimensions, over any maximally symmetric background, is known to be presented in a self-dual form as a first order equation which encodes not only the massive Klein-Gordon type field equation but also…

High Energy Physics - Theory · Physics 2013-08-02 Kevin Morand , Sergey N. Solodukhin

The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field…

High Energy Physics - Theory · Physics 2010-04-22 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly…

High Energy Physics - Theory · Physics 2015-06-22 Olaf Hohm , Barton Zwiebach

We obtain massive deformations of Type IIA supergravity theory through duality twisted reductions of Double Field Theory (DFT) of massless Type II strings. The mass deformation is induced through the reduction of the DFT of the RR sector.…

High Energy Physics - Theory · Physics 2018-03-09 Aybike Catal-Ozer

We consider the canonical quantization of a generalized two-dimensional massive fermion theory containing higher odd-order derivatives. The requirements of Lorentz invariance, hermiticity of the Hamiltonian and absence of tachyon…

High Energy Physics - Theory · Physics 2009-10-31 L. V. Belvedere , R. L. P. G. Amaral , C. G. Carvalhaes , N. A. Lemos

Under the hypotheses of analyticity, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the requirement that the interaction vertices contain at most two spatiotemporal derivatives of the fields, we…

High Energy Physics - Theory · Physics 2011-03-31 C. Bizdadea , E. M. Cioroianu , S. O. Saliu , E. M. Babalic

We develop doubled-coordinate field theory to determine the \alpha' corrections to the massless sector of oriented bosonic closed string theory. Our key tool is a string current algebra of free left-handed bosons that makes O(D,D) T-duality…

High Energy Physics - Theory · Physics 2015-06-16 Olaf Hohm , Warren Siegel , Barton Zwiebach
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