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We investigate whether the symmetry transformations of a bosonic string are connected by T-duality. We start with a standard closed string theory. We continue with a modified open string theory, modified to preserve the symmetry…

High Energy Physics - Theory · Physics 2018-10-09 Lj. Davidović , B. Sazdović

In string theory it is known that abelian isometries in the sigma model lead to target space duality. We generalize this duality to backgrounds with non--abelian isometries. The procedure we follow consists of gauging the isometries of the…

High Energy Physics - Theory · Physics 2009-10-22 Xenia C. de la Ossa , Fernando Quevedo

In the first part of the present paper, we show that O(d,d)-invariance usually known in a homogeneous cosmological background written in terms of proper time can be extended to backgrounds depending on one or several coordinates (which may…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Jacques Demaret , Elisa Di Pietro

We construct a new gauge theory on a pair of d-dimensional noncommutative tori. The latter comes from an intimate relationship between the noncommutative geometry associated with a lattice vertex operator algebra A and the noncommutative…

High Energy Physics - Theory · Physics 2009-10-31 G. Landi , F. Lizzi , R. J. Szabo

We propose an off-shell bosonic string action that removes the renormalization window constraint of [1]. To all orders in conformal perturbation theory, this action allows for deformations of the worldsheet theory by any primary or…

High Energy Physics - Theory · Physics 2025-10-07 Amr Ahmadain , Alexander Frenkel , Aron C. Wall

Recently it has been proposed that the consistency with T-duality requires the effective action of string theory at order $\alpha'^n$ satisfies the least action principle provided that the values of the massless fields and their derivatives…

High Energy Physics - Theory · Physics 2022-08-10 Mohammad R. Garousi

The boundary conditions of the bosonic string theory in non-zero $B$-field background are equivalent to the second class constraints of a discretized version of the theory. By projecting the original canonical coordinates onto the…

High Energy Physics - Theory · Physics 2015-06-25 M. A. De Andrade , M. A. Santos , I. V. Vancea

The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

High Energy Physics - Theory · Physics 2008-11-26 C M Hull

We probe a slice of the massive winding sector of bosonic string theory from toroidal compactifications of Double Field Theory (DFT). This string subsector corresponds to states containing one left and one right moving oscillators. We…

High Energy Physics - Theory · Physics 2017-04-05 Gerardo Aldazabal , Martín Mayo , Carmen Nuñez

We consider open strings ending on D-branes in the presence of constant metric, G, antisymmetric tensor, B and gauge field, A. The Hamiltonian is manifestly invariant under a global noncompact group; strikingly similar to toroidally…

High Energy Physics - Theory · Physics 2009-10-31 J. Maharana , S. S. Pal

Double Field Theory (DFT) has emerged as a comprehensive framework for gravity, presenting a testable and robust alternative to General Relativity (GR), rooted in the $\mathbf{O}(D,D)$ symmetry principle of string theory. These lecture…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Jeong-Hyuck Park

We present the dual formulation of double field theory at the linearized level. This is a classically equivalent theory describing the duals of the dilaton, the Kalb-Ramond field and the graviton in a T-duality or O(D,D) covariant way. In…

High Energy Physics - Theory · Physics 2016-06-29 Eric A. Bergshoeff , Olaf Hohm , Victor A. Penas , Fabio Riccioni

We discuss T-duality for open strings in general background fields both in the functional integral formulation as well as in the language of canonical transformations. The Dirichlet boundary condition in the dual theory has to be treated as…

High Energy Physics - Theory · Physics 2009-10-30 H. Dorn , H. -J. Otto

We propose a method of constructing a gauge invariant canonical formulation for non-gauge classical theory which depends on a set of parameters. Requirement of closure for algebra of operators generating quantum gauge transformations leads…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , V. D. Pershin , G. B. Toder

We show that twisted doubled tori can be used to construct a general class of worldsheet models describing non-geometric string backgrounds. By employing a first order formulation of interacting chiral bosons, we first refine the analysis…

High Energy Physics - Theory · Physics 2011-06-02 Gianguido Dall'Agata , Nikolaos Prezas

The closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system in assumption,that string model is the integrable model for particular kind of the background fields. It is…

High Energy Physics - Theory · Physics 2007-05-23 V. D. Gershun

Recently, all duality invariant $\alpha'$-corrections to the massless NS-NS sector of string theory on time-dependent backgrounds were classified and the form of their contribution to the action were calculated. In this paper we introduce…

High Energy Physics - Theory · Physics 2020-03-18 Heliudson Bernardo , Robert Brandenberger , Guilherme Franzmann

Einstein's theory in the vacuum was recently shown to possess an $SO(2)$ duality invariance, which is broken by coupling to matter. Duality invariance can be restored by enlarging the phase space of the theory to allow for violations of the…

High Energy Physics - Theory · Physics 2023-11-15 Uri Kol , Shing-Tung Yau

Noncommutativity in an open bosonic string moving in the presence of a background Neveu-Schwarz two-form field $B_{\mu \nu}$ is investigated in a conformal field theory approach, leading to noncommutativity at the boundaries. In contrast to…

High Energy Physics - Theory · Physics 2008-11-26 Biswajit Chakraborty , Sunandan Gangopadhyay , Arindam Ghosh Hazra

We present a class of static, spherically symmetric, non-singular solutions of the tree-level string effective action, truncated to first order in $\alpha'$. In the string frame the solutions approach asymptotically (at $r\to 0$ and $r\to…

High Energy Physics - Theory · Physics 2009-10-30 A. Buonanno , M. Gasperini , C. Ungarelli