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We investigate a special class of Poisson--Lie T-plurality transformations of Bianchi cosmologies invariant with respect to non-semisimple Bianchi groups. For six-dimensional semi-Abelian Manin triples $\mathfrak{b}\bowtie \mathfrak{a}$…

High Energy Physics - Theory · Physics 2019-11-01 Ladislav Hlavatý , Ivo Petr

We ask the question of classical super (non-)Abelian T-duality for BTZ black hole metric coupling to two fermionic fields. Our approach is based on super Poisson-Lie (PL) T-duality in the presence of spectator fields. In order to study the…

High Energy Physics - Theory · Physics 2024-03-11 Ali Eghbali , Meysam Hosseinpour-Sadid , Adel Rezaei-Aghdam

We investigate (non-)Abelian T-duality from the perspective of Poisson-Lie T-plurality. We show that sigma models related by duality/plurality are given not only by Manin triples obtained from decompositions of Drinfel'd double, but also by…

High Energy Physics - Theory · Physics 2019-05-06 Ladislav Hlavaty , Ivo Petr

For a particular class of backgrounds, equations of motion for string sigma models targeted in mutually dual Poisson-Lie groups are equivalent. This phenomenon is called the Poisson-Lie T-duality. On the level of the corresponding string…

High Energy Physics - Theory · Physics 2018-05-09 Branislav Jurco , Jan Vysoky

We describe a general framework for studying duality between different phase spaces which share the same symmetry group $\mathrm{H}$. Solutions corresponding to collective dynamics become dual in the sense that they are generated by the…

Mathematical Physics · Physics 2008-08-20 A. Cabrera , H. Montani , M. Zuccalli

Classical equations of motion for three-dimensional sigma-models in curved background are solved by a transformation that follows from the Poisson-Lie T-plurality and transform them into the equations in the flat background. Transformations…

High Energy Physics - Theory · Physics 2008-11-26 L. Hlavaty , J. Hybl , M. Turek

We construct a new class of two-dimensional field theories with target spaces that are finite multiparameter deformations of the usual coset G/H-spaces. They arise naturally, when certain models, related by Poisson-Lie T-duality, develop a…

High Energy Physics - Theory · Physics 2009-10-31 Konstadinos Sfetsos

We investigate Poisson-Lie duals of the $\eta$-deformed $\mathrm{AdS}_2 \times \mathrm{S}^2 \times \mathrm{T}^6$ superstring. The $\eta$-deformed background satisfies a generalisation of the type II supergravity equations. We discuss three…

High Energy Physics - Theory · Physics 2019-04-18 Ben Hoare , Fiona K. Seibold

Through their respective sigma models, a bosonic string and a superstring can be coupled to (super)gravity fields. These are subsequently forced to satisfy their right classical equation of motions, as a consequence of quantization of the…

High Energy Physics - Theory · Physics 2023-04-26 Eugenia Boffo

Recent results of A. Sen on quantum field theory models with self-dual field strengths use string field theory as a starting point. In the present work, we show that combining string field theory and supergeometry we can provide a…

High Energy Physics - Theory · Physics 2021-11-17 C. A. Cremonini , P. A. Grassi

The supersymmetric generalization of Poisson-Lie T-duality in superconformal WZNW models is considered. It is shown that the classical N=2 superconformal WZNW models posses a natural Poisson-Lie symmetry which allows to construct dual…

High Energy Physics - Theory · Physics 2009-10-30 S. E. Parkhomenko

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 investigate plane-parallel wave metrics from the point of view of their (Poisson-Lie) T-dualizability. For that purpose we reconstruct the metrics as backgrounds of nonlinear sigma models on Lie groups. For construction of dual…

High Energy Physics - Theory · Physics 2015-06-03 Ladislav Hlavatý , Miroslav Turek

We investigate Poisson-Lie symmetry for T-dual sigma models on supermanifolds in general and on Lie supergroups in particular. We show that the integrability condition on this super Poisson-Lie symmetry is equivalent to the super Jacobi…

High Energy Physics - Theory · Physics 2009-10-02 A. Eghbali , A. Rezaei-Aghdam

We explicitly solve the classical equations of motion for strings in backgrounds obtained as non-abelian T-duals of a homogeneous isotropic plane-parallel wave. To construct the dual backgrounds, semi-abelian Drinfeld doubles are used which…

High Energy Physics - Theory · Physics 2014-03-20 Ladislav Hlavaty , Ivo Petr

The equations of motion of a super non-Abelian T-dual sigma model on the Lie supergroup $(C^1_1+A)$ in the curved background are explicitly solved by the super Poisson-Lie T-duality. To find the solution of the flat model we use the…

High Energy Physics - Theory · Physics 2015-06-22 Ali Eghbali

We review recent developments in duality symmetric string theory. We begin with the world sheet doubled formalism which describes strings in an extended space time with extra coordinates conjugate to winding modes. This formalism is…

High Energy Physics - Theory · Physics 2014-12-10 David S. Berman , Daniel C. Thompson

The cosmological compactification of D=10, N=1 supergravity-super-Yang-Mills theory obtained from superstring theory is studied. The constraint of unbroken N=1 supersymmetry is imposed. A duality transformation is performed on the resulting…

High Energy Physics - Theory · Physics 2009-10-30 H. K. Jassal , A. Mukherjee , R. P. Saxena

We show that tree level superstring theories on certain supersymmetric backgrounds admit a symmetry which we call ``fermionic T-duality''. This is a non-local redefinition of the fermionic worldsheet fields similar to the redefinition we…

High Energy Physics - Theory · Physics 2011-05-05 Nathan Berkovits , Juan Maldacena

A previous supersymmetric preon scenario for visible matter particles is extended to the dark sector. In addition, the scenario is reformulated as a Double Field Theory (DFT) with four extra dimensions, to avoid a singular Big Bang in…

High Energy Physics - Phenomenology · Physics 2022-05-18 Risto Raitio