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A new version of double field theory (DFT) is derived for the exactly solvable background of an in general left-right asymmetric WZW model in the large level limit. This generalizes the original DFT that was derived via expanding closed…

High Energy Physics - Theory · Physics 2015-03-03 Ralph Blumenhagen , Falk Hassler , Dieter Lust

This thesis deals with new backgrounds and concepts in Double Field Theory (DFT), a T-Duality invariant reformulation of supergravity (SUGRA). We begin by reviewing the basic concepts and notions of DFT. Afterwards, we turn to Double Field…

High Energy Physics - Theory · Physics 2017-10-04 Pascal du Bosque

We give a brief overview of the current status of Double Field Theory on Group Manifolds (DFTWZW). Therefore, we start by reviewing some basic notions known from Double Field Theory (DFT) and show how they extend/generalize into the…

High Energy Physics - Theory · Physics 2017-04-17 Ralph Blumenhagen , Pascal du Bosque , Falk Hassler , Dieter Lust

This thesis deals with Double Field Theory (DFT), an effective field theory capturing the low energy dynamics of closed strings on a torus. It renders T-duality on a torus manifest by adding $D$ winding coordinates in addition to the $D$…

High Energy Physics - Theory · Physics 2015-09-25 Falk Hassler

The generalized metric is a T-duality covariant symmetric matrix constructed from the metric and two-form gauge field and arises in generalized geometry. We view it here as a metric on the doubled spacetime and use it to give a simple…

High Energy Physics - Theory · Physics 2014-11-21 Olaf Hohm , Chris Hull , Barton Zwiebach

We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations. We illustrate how the composition of generalized…

High Energy Physics - Theory · Physics 2015-06-17 Olaf Hohm , Dieter Lust , Barton Zwiebach

In this article we investigate the gauge invariance and duality properties of DFT based on a metric algebroid formulation given previously in [1]. The derivation of the general action given in this paper does not employ the section…

High Energy Physics - Theory · Physics 2023-08-16 Ursula Carow-Watamura , Kohei Miura , Satoshi Watamura

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

We give a formulation of Double Field Theory (DFT) based on a metric algebroid. We derive a covariant completion of the Bianchi identities, i.e. the pre-Bianchi identity in torsion and an improved generalized curvature, and the pre-Bianchi…

High Energy Physics - Theory · Physics 2020-12-02 Ursula Carow-Watamura , Kohei Miura , Satoshi Watamura , Taro Yano

We revisit the generalized connection of Double Field Theory. We implement a procedure that allow us to re-write the Double Field Theory equations of motion in terms of geometric quantities (like generalized torsion and non-metricity…

High Energy Physics - Theory · Physics 2019-06-18 Victor A. Penas

A generalization of the matrix model idea to quantum gravity in three and higher dimensions is known as group field theory (GFT). In this paper we study generalized GFT models that can be used to describe 3D quantum gravity coupled to point…

High Energy Physics - Theory · Physics 2009-11-11 Kirill Krasnov

Recently, generalized equations of type IIB supergravity have been derived from the requirement of classical kappa-symmetry of type IIB superstring theory in the Green-Schwarz formulation. These equations are covariant under generalized…

High Energy Physics - Theory · Physics 2017-04-25 Yuho Sakatani , Shozo Uehara , Kentaroh Yoshida

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…

High Energy Physics - Theory · Physics 2022-04-26 Eric Lescano , Sourav Roychowdhury

We develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the…

High Energy Physics - Theory · Physics 2016-02-03 Olaf Hohm , Diego Marques

Generalised geometry studies structures on a d-dimensional manifold with a metric and 2-form gauge field on which there is a natural action of the group SO(d,d). This is generalised to d-dimensional manifolds with a metric and 3-form gauge…

High Energy Physics - Theory · Physics 2009-01-30 C M Hull

We study the $O(D,D+n)$ generalized metric and the gauge symmetries in the gauged double field theory (DFT) in view of current algebras and sigma models. We show that the $O(D,D+n)$ generalized metric in the gauged DFT is consistent with…

High Energy Physics - Theory · Physics 2023-06-01 Machiko Hatsuda , Haruka Mori , Shin Sasaki , Masaya Yata

We introduce a geometrical framework for double field theory in which generalized Riemann and torsion tensors are defined without reference to a particular basis. This invariant geometry provides a unifying framework for the frame-like and…

High Energy Physics - Theory · Physics 2015-06-12 Olaf Hohm , Barton Zwiebach

This paper builds on the theory of generalised functions begun in [1]. The Colombeau theory of generalised scalar fields on manifolds is extended to a nonlinear theory of generalised tensor fields which is diffeomorphism invariant and has…

Functional Analysis · Mathematics 2021-03-17 Eduard A. Nigsch , James A. Vickers

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

A flux formulation of Double Field Theory on group manifold is derived and applied to study generalized Scherk-Schwarz compactifications, which give rise to a bosonic subsector of half-maximal, electrically gauged supergravities. In…

High Energy Physics - Theory · Physics 2016-02-15 Pascal du Bosque , Falk Hassler , Dieter Lust
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