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We examine various properties of double field theory and the doubled string sigma model in the context of geometric quantisation. In particular we look at T-duality as the symplectic transformation related to an alternative choice of…

High Energy Physics - Theory · Physics 2021-06-30 Luigi Alfonsi , David S. Berman

We present the string Lagrangian with manifest T-duality. Not only zero-modes but also all string modes are doubled. The gravitational field is an O(D,D) gauge field. We give a Lagrangian version of the section condition for the gauge…

High Energy Physics - Theory · Physics 2019-02-20 Machiko Hatsuda , Warren Siegel

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 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

It is known that D$_p$-brane effective action at the leading order of $\alpha'$ in flat space-time which is given by DBI action, transforms to D$_{p-1}$-brane effective action under standard T-duality transformations of the open string…

High Energy Physics - Theory · Physics 2021-04-16 Saman Karimi , Mohammad R. Garousi

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

Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for $N=2$ quantum field theories can be reduced to T-dualities of string theory. This is done by…

High Energy Physics - Theory · Physics 2009-10-30 Sheldon Katz , Albrecht Klemm , Cumrun Vafa

In this thesis the recently developed duality covariant approach to string and M-theory is investigated. In this formalism the U-duality symmetry of M-theory or T-duality symmetry of Type II string theory becomes manifest upon extending…

High Energy Physics - Theory · Physics 2018-01-03 Edvard Musaev

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 construct O(D,D) invariant actions for the bosonic string and RNS superstring, using Hamiltonian methods and ideas from double field theory. In this framework the doubled coordinates of double field theory appear as coordinates on phase…

High Energy Physics - Theory · Physics 2015-12-14 Chris D. A. Blair , Emanuel Malek , Alasdair J. Routh

We reformulate the manifestly T-dual description of the massless sector of the closed bosonic string, directly from the geometry associated with the (left and right) affine Lie algebra of the coset space Poincare/Lorentz. This construction…

High Energy Physics - Theory · Physics 2015-06-17 Martin Polacek , Warren Siegel

Originally proposed as an $O(d,d)$-invariant formulation of classical closed string theory, double field theory (DFT) offers a rich source of mathematical structures. Most prominently, its gauge algebra is determined by the so-called…

High Energy Physics - Theory · Physics 2015-11-13 Andreas Deser

Reconsideration of the T-duality of the open string allows us to introduce some geometric features in non-geometric theories. First, we have found what symmetry is T-dual to the local gauge transformations. It includes transformations of…

High Energy Physics - Theory · Physics 2018-09-14 Branislav Sazdovic

Toroidal backgrounds for bosonic strings are used to understand target space duality as a symmetry of string field theory and to study explicitly issues in background independence. Our starting point is the notion that the string field…

High Energy Physics - Theory · Physics 2010-11-01 Taichiro Kugo , Barton Zwiebach

We show that the vanishing of the one-loop beta-functional of the doubled formalism (which describes string theory on a torus fibration in which the fibres are doubled) is the same as the equation of motion of the recently proposed…

High Energy Physics - Theory · Physics 2011-10-27 Neil B. Copland

Poisson-Lie duality is a generalization of abelian and non-abelian T-duality, and it can be viewed as a map between solutions of the low-energy effective equations of string theory, i.e. at the (super)gravity level. We show that this fact…

High Energy Physics - Theory · Physics 2020-11-18 Riccardo Borsato , Linus Wulff

We consider Hull's doubled formalism for open strings on D-branes in flat space and construct the corresponding effective double field theory. We show that the worldsheet boundary conditions of the doubled formalism describe in a unified…

High Energy Physics - Theory · Physics 2011-12-08 Cecilia Albertsson , Shou-Huang Dai , Pei-Wen Kao , Feng-Li Lin

We consider the effective theory of heterotic strings in two spacetime dimensions, in a double field theory-inspired formalism, manifestly consistent with $T$-duality in string theory. Restricting the gauge group to a single…

High Energy Physics - Theory · Physics 2026-05-19 Upamanyu Moitra

We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but…

High Energy Physics - Theory · Physics 2012-04-24 Mariana Graña , Diego Marques

Double Field Theory (DFT) is a proposal to incorporate T-duality, a distinctive symmetry of string theory, as a symmetry of a field theory defined on a double configuration space. The aim of this review is to provide a pedagogical…

High Energy Physics - Theory · Physics 2013-08-13 Gerardo Aldazabal , Diego Marques , Carmen Nunez