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A method for implementing non-Abelian duality on string backgrounds is given. It is shown that a direct generalisation of the familiar Abelian duality induces an extra local symmetry in the gauge invariant theory. The non-Abelian isometry…

High Energy Physics - Theory · Physics 2009-10-28 Noureddine Mohammedi

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 determine the equations which govern the gauge symmetries of worldsheets with local supersymmetry of arbitrary rank $(N,N')$, and their possible anomalies. Both classical and ghost conformally invariant multiplets of the left or right…

High Energy Physics - Theory · Physics 2009-10-30 Laurent Baulieu , Nobuyoshi Ohta

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

We provide a pedagogical introduction to the theory of principal 2-bundles with adjusted connections and show how they enter the description of geometric and non-geometric T-dualities as proposed in arXiv:2204.01783. This description…

High Energy Physics - Theory · Physics 2023-03-29 Hyungrok Kim , Christian Saemann

Using the renormalization-group formalism, a sigma model of a special type- in which the metric and the dilaton depend explicitly on one of the string coordinates only-is investigated near two dimensions. It is seen that dilatonic gravity…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

We undertake a systematic analysis of non-geometric backgrounds in string theory by seeking stringy liftings of a class of gauged supergravity theories. In addition to conventional flux compactifications and non-geometric T-folds with…

High Energy Physics - Theory · Physics 2010-02-03 Atish Dabholkar , Chris Hull

We explore two different problems in string theory in which duality relates an ordinary p-form in one theory to a self-dual (p+1)-form in another theory. One problem involves comparing D4-branes to M5-branes, and the other involves…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

By analyzing super-torsion and brane super-cocycles, we derive a new duality in M-theory, which takes the form of a higher version of T-duality in string theory. This involves a new topology change mechanism abelianizing the 3-sphere…

High Energy Physics - Theory · Physics 2018-05-23 Hisham Sati , Urs Schreiber

Cosmologically stabilizing radion along with the dilaton is one of the major concerns of low energy string theory. One can hope that T and S dualities can provide a plausible answer. In this work we study the impact of S and T duality…

High Energy Physics - Theory · Physics 2008-11-26 Tonguç Rador

String-theoretic T-duality can be exploited to simplify some features of the bulk-boundary correspondence in condensed matter theory. This paper surveys how T-duality links position and momentum space pictures of that correspondence.

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Keith C. Hannabuss

Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that, for backgrounds generated from compact WZW and coset models, such duality symmetries are exact to all orders in string perturbation…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis

In this paper we construct a $(2,2)$ dimensional string theory with manifest $N=1$ spacetime supersymmetry. We use Berkovits' approach of augmenting the spacetime supercoordinates by the conjugate momenta for the fermionic variables. The…

High Energy Physics - Theory · Physics 2007-05-23 Z. Khviengia , H. Lu , C. N. Pope , E. Sezgin , X. J. Wang , K. W. Xu

In the doubled field theory approach to string theory, the T-duality group is promoted to a manifest symmetry at the expense of replacing ordinary Riemannian geometry with generalised geometry on a doubled space. The local symmetries are…

High Energy Physics - Theory · Physics 2015-05-30 David S. Berman , Hadi Godazgar , Mahdi Godazgar , Malcolm J. Perry

We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie…

High Energy Physics - Theory · Physics 2020-10-14 Chris D. A. Blair , Daniel C. Thompson , Sofia Zhidkova

The special geometry ($(t,{\bar t})$-equations) for twisted $N=2$ strings are derived as consistency conditions of a new contact term algebra. The dilaton appears in the contact terms of topological and antitopological operators. The…

High Energy Physics - Theory · Physics 2009-10-28 C. Gomez , E. Lopez

S-dualities in scale invariant N=2 supersymmetric field theories are derived by embedding those theories in asymptotically free N=2 theories with higher rank gauge groups. S-duality transformations on the coupling of the scale invariant…

High Energy Physics - Theory · Physics 2008-11-26 Philip C. Argyres

We present general formulae for the TsT transformation (T-duality, shift, T-duality) of type II string backgrounds and open string boundary conditions. The TsT transformation provides a systematic procedure to find string theory duals of…

High Energy Physics - Theory · Physics 2009-12-07 Emiliano Imeroni

We consider the topological theory of Witten type for gauge differential p-forms. It is shown that some topological invariants such as linking numbers appear under quantization of this theory. The non-abelian generalization of the model is…

High Energy Physics - Theory · Physics 2015-06-26 S. N. Solodukhin

We present an Sp(2n,R) duality invariant Born-Infeld U(1)^2n gauge theory with scalar fields. To implement this duality we had to introduce complex gauge fields and as a result the rank of the duality group is only half as large as that of…

High Energy Physics - Theory · Physics 2016-11-23 Daniel Brace , Bogdan Morariu , Bruno Zumino