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Non-abelian T duality (NATD) is a symmetry of the worldsheet action that allows one to generate new solutions of string theory by performing algebraic transformations of known geometries. Applications of such transformations to spheres have…

High Energy Physics - Theory · Physics 2025-08-26 Oleg Lunin , Parita Shah

We study the effect of non-Abelian T-duality (NATD) on D-brane solutions of type II supergravity. Knowledge of the full interpolating brane solution allows us to track the brane charges and the corresponding brane configurations, thus…

High Energy Physics - Theory · Physics 2019-12-11 Robin Terrisse , Dimitrios Tsimpis , Catherine A. Whiting

In a supersymmetric compactification of Type II supergravity, preservation of ${\cal{N}} = 1$ supersymmetry in four dimensions requires that the structure group of the generalized tangent bundle $TM \oplus T^*M$ of the six dimensional…

High Energy Physics - Theory · Physics 2022-01-05 Aybike Catal-Ozer , Emine Dirioz

String theory has the T-duality symmetry when the target space has Abelian isometries. A generalization of the T-duality, where the isometry group is non-Abelian, is known as the non-Abelian T-duality, which works well as a…

High Energy Physics - Theory · Physics 2019-10-24 Yuho Sakatani

A new method for obtaining dual string theory backgrounds is presented. Preservation of the Hamiltonian density and the energy momentum tensor induced by O(d,d)-transformations leads to a relation between dual sets of coordinate one-forms…

High Energy Physics - Theory · Physics 2015-06-19 Felix Rennecke

In this letter we generalised the procedure of non-abelian T-duality based on a B-shift and a sequence of formal abelian T-dualities in non-isometric directions to 11-dimensional backgrounds. This consists of a C-shift followed by either a…

High Energy Physics - Theory · Physics 2022-12-08 Edvard T. Musaev

We elaborate on the class of deformed T-dual (DTD) models obtained by first adding a topological term to the action of a supercoset sigma model and then performing (non-abelian) T-duality on a subalgebra $\tilde{\mathfrak{g}}$ of the…

High Energy Physics - Theory · Physics 2018-03-23 Riccardo Borsato , Linus Wulff

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

A number of issues in heterotic double field theory are studied. This includes the analysis of the T-dual configurations of a flat constant gauge flux background, which turn out to be non-geometric. Performing a field redefinition to a…

High Energy Physics - Theory · Physics 2023-02-03 Ralph Blumenhagen , Rui Sun

Non-abelian U-duality originates from the construction of exceptional Drinfel'd algebra (EDA), which extends the constriction of the classical Drinfel'd double. This symmetry is a natural extension of Poisson--Lie T-duality and is believed…

High Energy Physics - Theory · Physics 2022-12-05 Edvard T. Musaev , Yuho Sakatani

The standard notion of the non-Abelian duality in string theory is generalized to the class of $\si$-models admitting `non-commutative conserved charges'. Such $\si$-models can be associated with every Lie bialgebra $(\cg ,\cgt)$ and they…

High Energy Physics - Theory · Physics 2009-07-09 C. Klimcik , P. Severa

We show how to implement T-duality along non-abelian isometries in backgrounds with non-vanishing Ramond fields. When the dimension of the isometry group is odd (even) the duality swaps (preserves) the chirality of the theory. In certain…

High Energy Physics - Theory · Physics 2011-02-03 Konstadinos Sfetsos , Daniel C. Thompson

We extend previous work on non-abelian T-duality in the presence of Ramond fluxes to cases in which the duality group acts with isotropy such as in backgrounds containing coset spaces. In the process we generate new supergravity solutions…

High Energy Physics - Theory · Physics 2011-06-28 Yolanda Lozano , Eoin 'O Colgain , Konstadinos Sfetsos , Daniel C. Thompson

We consider non-Abelian T-duality on N=1 supergravity backgrounds possessing well understood field theory duals. For the case of D3-branes at the tip of the conifold, we dualise along an SU(2) isometry. The result is a type-IIA geometry…

High Energy Physics - Theory · Physics 2015-06-12 Georgios Itsios , Carlos Nunez , Konstadinos Sfetsos , Daniel C. Thompson

I study generalisations of U-duality transformations which do not rely on the existence of isometries. I start by providing more details of a recently proposed generalised U-duality map between solutions of type IIA supergravity of the form…

High Energy Physics - Theory · Physics 2022-10-17 Chris D. A. Blair

We construct several solutions of effective actions for string theories beyond the supergravity approximation utilizing the framework of the Double Field Theory (DFT). The DFT effective actions, which are well suited for accommodating…

High Energy Physics - Theory · Physics 2025-01-07 Oleg Lunin , Parita Shah

We study exhaustively the solution-generating transformations (dualities) that occur in the context of the low-energy effective action of superstring theory. We first consider target-space duality (``T duality'') transformations in absence…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff , Bert Janssen , Tomas Ortin

We find new type II backgrounds with non-relativistic symmetries via non-Abelian T-duality. First we consider geometries with Galilean symmetries in type IIA, which have been identified as non-relativistic generalizations of the ABJM…

High Energy Physics - Theory · Physics 2016-01-27 Thiago R. Araujo , Horatiu Nastase

Double Field Theory (DFT) is a low-energy effective theory of a manifestly $O(D,D)$ invariant formulation of the closed string theory when toroidally compactified dimensions are present. The theory is based on a doubled spacetime structure…

High Energy Physics - Theory · Physics 2017-04-05 Chen-Te Ma , Franco Pezzella

We consider the action of a non-abelian T-duality on backgrounds with an AdS${}_5$ factor in type IIA supergravity, finding a new type IIB background, as well as the non-abelian T-dual of a domain wall solution which has as limits the…

High Energy Physics - Theory · Physics 2015-07-01 Thiago R. Araujo , Horatiu Nastase
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