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Duality Symmetry is studied for heterotic string orbifold compactifications in the presence of a general background which in addition to the metric and antisymmetric tensor contains both discrete and continuous Wilson lines background.

High Energy Physics - Theory · Physics 2010-11-01 D. Bailin , A. Love , W. A. Sabra , S. Thomas

T-dualities of the non-supersymmetric string models, which are constructed by twisted compactifications, are investigated. We show that the T-duality groups of such models are obtained by imposing congruence conditions on $O\left(…

High Energy Physics - Theory · Physics 2022-02-09 H. Itoyama , Yuichi Koga , Sota Nakajima

We review the recently proposed string theory in two dimensional black hole background. Especially, the structure of the duality in the target space is discussed. The duality is analogous to \lq\lq $R \rightarrow 1/R$" symmetry of a…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri

The S--duality transformations of the lowest order string effective theory admit a space time interpretation for 4-dim backgrounds with one Killing symmetry. Starting from pure gravity and performing a sequence of intertwined T-S-T duality…

High Energy Physics - Theory · Physics 2009-10-28 Ioannis Bakas

I discuss the role of spacetime supersymmetry in the interplay between strong/weak coupling duality and target space duality in string theory which arises in string/string duality. This can be seen via the construction of string soliton…

High Energy Physics - Theory · Physics 2007-05-23 Ramzi R. Khuri

We examine T-duality transformations for supersymmetric strings with target space geometry with compact abelian isometries. We consider the partition function of these models and we show that although T-duality is not a symmetry, due to an…

High Energy Physics - Theory · Physics 2009-10-30 Alexandros Kehagias

We revisit classical "on shell" duality, i.e., pseudoduality, in two dimensional conformally invariant classical sigma models and find some new interesting results. We show that any two sigma models that are "on shell" duals have opposite…

High Energy Physics - Theory · Physics 2015-06-26 Orlando Alvarez

We present a new class of matrix models which are manifestly symmetric under the T-duality transformation of the target space. The models may serve as a nonperturbative regularization for the T-duality symmetry in continuum string theory.…

High Energy Physics - Theory · Physics 2016-08-24 Tsunehide Kuroki , Yuji Okawa , Fumihiko Sugino , Tamiaki Yoneya

We study time and space equivariant wave maps from $M\times\RR\rightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metric on $M$ can be written as…

Analysis of PDEs · Mathematics 2012-04-04 Sohrab M. Shahshahani

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of…

High Energy Physics - Theory · Physics 2017-08-16 William Donnelly , Ben Michel , Aron Wall

The nature of duality symmetries is explored in closed bosonic string theory, particularly in the case of a four-dimensional target space admitting a one-parameter isometry. It appears that the S-duality of string theory behaves analogously…

High Energy Physics - Theory · Physics 2007-05-23 Ian R. Pinkstone

We resolve the entire gravitational field;i.e. the Riemann curvature into its electric and magnetic parts. In general, the vacuum Einstein equation is symmetric in active and passive electric parts. However it turns out that the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Naresh Dadhich

Thermal duality is a relationship between the behaviour of heterotic string models of the $E(8)x E(8)$ or $SO(32)$ types at inversely related temperatures, a variant of T duality in the Euclidean regime. This duality would have consequences…

High Energy Physics - Theory · Physics 2015-09-17 Michael Hewitt

We discuss the target space pseudoduality in supersymmetric sigma models on symmetric spaces using two different methods, orthonormal coframe and component expansion. These two methods yield similar results to the classical cases with the…

High Energy Physics - Theory · Physics 2011-08-11 Mustafa Sarisaman

Buscher duality is a sigma-model duality, implemented by transformation of the target space. Not only in the case of a flat target space, but in a general background, should the Buscher duality reduce to the T-duality familiar in the…

High Energy Physics - Theory · Physics 2009-11-11 P. Matlock , R. Parthasarathy

A review of the applications of noncommutative geometry to a systematic formulation of duality symmetries in string theory is presented. The spectral triples associated with a lattice vertex operator algebra and the corresponding…

High Energy Physics - Theory · Physics 2007-05-23 Fedele Lizzi , Richard J. Szabo

A variant of the divergence theory for vacuum-condensation developed in a previous communication is analyzed from the viewpoint of a 'time' asymmetric law in vacuum. This law is found to establish a substantial distinction between…

High Energy Physics - Theory · Physics 2009-10-31 H. Salehi , H. R. Sepangi

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

The concept of duality reflects a link between two seemingly different physical objects. An example in quantum mechanics is a situation where the spectra (or their parts) of two Hamiltonians go into each other under a certain…

Mathematical Physics · Physics 2019-09-05 Michael Kreshchuk , Tobias Gulden

In this paper a one to one correspondence is established between space-time metrics of general relativity and the wave equations of quantum mechanics. This is done by first taking the square root of the metric associated with a space and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Paul O'Hara