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Related papers: String cosmology from Poisson-Lie T-dual sigma mod…

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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

For two families of four-dimensional off-shell N = 2 supersymmetric nonlinear sigma-models constructed originally in projective superspace, we develop their formulation in terms of N = 1 chiral superfields. Specifically, these theories are:…

High Energy Physics - Theory · Physics 2015-05-14 Sergei M. Kuzenko

In previous papers we have presented many purely bosonic solutions of Generalized Supergravity Equations obtained by Poisson-Lie T-duality and plurality of flat and Bianchi cosmologies. In this paper we focus on their compactifications and…

High Energy Physics - Theory · Physics 2020-09-30 Ladislav Hlavatý , Ivo Petr

We derive and discuss, at both the classical and the quantum levels, generalized N = 2 supersymmetric quantum mechanical sigma models describing the motion over an arbitrary real or an arbitrary complex manifold with extra torsions. We…

High Energy Physics - Theory · Physics 2015-06-04 S. A. Fedoruk , E. A. Ivanov , A. V. Smilga

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

We consider a string model at one-loop related to a $\sigma$-model whose antisymmetric tensor field is constructed as complex structure on the background manifold, specially on a manifold $R\times N$ where $N$ is a complex manifold. As an…

High Energy Physics - Theory · Physics 2016-03-16 F. Naderi , A. Rezaei-Aghdam , F. Darabi

A string in four dimensions is constructed by supplementing it with forty four Majorana fermions. The later are represented by eleven vectors in the bosonic representation $SO(D-1,1)$. The central charge is 26. The fermions are grouped in…

High Energy Physics - Theory · Physics 2007-05-23 B. B. Deo , L. Maharana

We give an introductory review of topological strings and their application to various aspects of superstrings and supersymmetric gauge theories. This review includes developing the necessary mathematical background for topological strings,…

High Energy Physics - Theory · Physics 2007-05-23 Andrew Neitzke , Cumrun Vafa

A Lie system is a nonautonomous system of first-order differential equations possessing a superposition rule, i.e. a map expressing its general solution in terms of a generic finite family of particular solutions and some constants.…

Mathematical Physics · Physics 2013-11-01 A. Ballesteros , J. F. Cariñena , F. J. Herranz , J. de Lucas , C. Sardón

We review the algebraic approach to super non-Abelian T-Duality considered in [1], focusing on symmetric and semi-symmetric coset spaces on $G/H$. We discuss a potential impediment, appearing in these models when integrating out the gauge…

High Energy Physics - Theory · Physics 2022-09-16 Daniele Bielli

We study the cosmology of a string derived supersymmetric flipped $SU(5)$ model in the context of free-fermionic heterotic constructions that allow full calculability of the effective supergravity in perturbation theory around the fermionic…

High Energy Physics - Theory · Physics 2021-03-12 Ignatios Antoniadis , Dimitri V. Nanopoulos , John Rizos

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

In this work the most promising string cosmology models are re-viewed model by model in detail. These models are based on conceptsform string theory and heterotic M theory to construct possible scenar-ios for the beginning and the evolution…

High Energy Physics - Theory · Physics 2021-12-22 Poula Tadros , Mohamed Assaad Abdel-Raouf

We develop superspace techniques to construct general off-shell N=1,2,3,4 superconformal sigma-models in three space-time dimensions. The most general N=3 and N=4 superconformal sigma-models are constructed in terms of N=2 chiral…

High Energy Physics - Theory · Physics 2011-02-01 Sergei M. Kuzenko , Jeong-Hyuck Park , Gabriele Tartaglino-Mazzucchelli , Rikard von Unge

We construct solitonic string solutions of N=2 four-dimensional heterotic models of rank three, four and five. These finite energy configurations have constant dilaton while the moduli fields vary over space-time with jumps at the location…

High Energy Physics - Theory · Physics 2016-09-06 Alexandros Kehagias

The non-Abelian T-dualization of the BTZ black hole is discussed in detail by using the Poisson-Lie T-duality in the presence of spectators. We explicitly construct a dual pair of sigma models related by Poisson-Lie symmetry. The original…

High Energy Physics - Theory · Physics 2017-09-25 A. Eghbali , L. Mehran-nia , A. Rezaei-Aghdam

The concept of Poisson cohomology groups associated with Poisson manifolds is a part of the theory of Lie superalgebras of vector fields. Therefore, we abstracted them as Poisson-like cohomology groups for general Lie superalgebras. In…

Differential Geometry · Mathematics 2023-07-03 Kentaro Mikami , Tadayoshi Mizutani , Hajime Sato

The description of the two sets of (4,0) supersymmetric models that are related by non-abelian duality transformations is given. The (4,0) supersymmetric WZNW is constructed and the formulation of the (4,0) supersymmetric sigma model dual…

High Energy Physics - Theory · Physics 2008-11-26 F. Assaoui , N. Benhamou , T. Lhallabi

We prove that a transformation, conjectured in our previous work, between phase-space variables in $\s$-models related by Poisson-Lie T-duality is indeed a canonical one. We do so by explicitly demonstrating the invariance of the classical…

High Energy Physics - Theory · Physics 2009-10-30 Konstadinos Sfetsos

This thesis considers two different aspects of string theory, the tensionless limit of the string and supersymmetric sigma models. The tensionless limit is used to find a IIB supergravity background generated by a tensionless string.…

High Energy Physics - Theory · Physics 2009-04-16 Jonas Persson