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N=4 supersymmetric Yang-Mills theory with gauge group SU(n) (n>=3) is believed to have two exactly marginal deformations which break the supersymmetry to N=1. We discuss the construction of the string theory dual to these deformations, in…

High Energy Physics - Theory · Physics 2009-11-07 Ofer Aharony , Barak Kol , Shimon Yankielowicz

We study constant dilaton supersymmetric solutions of type IIB Supergravity with 5-form and 3-form flux with isometry group U(1) $\times$$Z_3$. Some of these solutions correspond to marginal perturbations of N=4 Yang-Mills. We find one line…

High Energy Physics - Theory · Physics 2007-05-23 Ansar Fayyazuddin , Subir Mukhopadhyay

Expanding upon earlier results [arXiv:1702.02861], we present a compendium of $\sigma$-models associated with integrable deformations of AdS$_5$ generated by solutions to homogenous classical Yang-Baxter equation. Each example we study from…

High Energy Physics - Theory · Physics 2018-05-23 Thiago Araujo , Ilya Bakhmatov , Eoin Ó Colgáin , Jun-ichi Sakamoto , Mohammad M. Sheikh-Jabbari , Kentaroh Yoshida

We show that the Yang-Baxter (YB) deformed backgrounds of the Wess-Zumino-Witten (WZW) model based on the $H_{_{4}}$ Lie group can be considered as solutions of the generalized supergravity equations (GSEs). Then, by applying the…

High Energy Physics - Theory · Physics 2025-07-08 Ali Eghbali , Simin Ghasemi-Sorkhabi , Adel Rezaei-Aghdam

In the prototypical AdS$_5$/CFT$_4$ correspondence, the free energy of $\mathcal{N}=4$ SU$(N)$ super Yang-Mills theory is commonly reproduced from the Euclidean on-shell action of five-dimensional gauged supergravity -- a consistent…

High Energy Physics - Theory · Physics 2026-03-23 Soumya Adhikari , Junho Hong , Chanyoung Joung , Geum Lee

The homogeneous Yang-Baxter deformation is part of a larger web of integrable deformations and dualities that recently have been studied with motivations in integrable $\sigma$-models, solution-generating techniques in supergravity and…

High Energy Physics - Theory · Physics 2022-06-24 Riccardo Borsato , Sibylle Driezen , J. Luis Miramontes

Yang-Baxter sigma models, proposed by Klimcik and Delduc-Magro-Vicedo, have been recognized as a powerful framework for studying integrable deformations of two-dimensional non-linear sigma models. In this short article, as an important…

High Energy Physics - Theory · Physics 2016-02-17 P. Marcos Crichigno , Takuya Matsumoto , Kentaroh Yoshida

Starting with the F/G supercoset model corresponding to the AdS_n x S^n superstring one can define the lambda-model of arXiv:1409.1538 either as a deformation of the F/F gauged WZW model or as an integrable one-parameter generalization of…

High Energy Physics - Theory · Physics 2016-05-06 R. Borsato , A. A. Tseytlin , L. Wulff

We study $\mathcal{N}=1$ supersymmetric AdS$_3 \times M_7$ backgrounds of Type IIB supergravity, with non-vanishing axio-dilaton, three-form and five-form fluxes, and a "strict" $SU(3)$-structure on $M_7$. We derive the necessary and…

High Energy Physics - Theory · Physics 2020-06-24 Achilleas Passias , Daniël Prins

We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS${}_4$ factor, non-trivial axion-dilaton, B-field, and three- and five-form Ramond-Ramond fluxes. We obtain these solutions by applying…

High Energy Physics - Theory · Physics 2016-01-28 Leopoldo A. Pando Zayas , Vincent G. J. Rodgers , Catherine A. Whiting

The eta-deformation of the AdS_5 x S^5 superstring depends on a non-split r matrix for the superalgebra psu(2,2|4). Much of the investigation into this model has considered one particular choice, however there are a number of inequivalent…

High Energy Physics - Theory · Physics 2016-12-21 Ben Hoare , Stijn J. van Tongeren

We construct solutions of type-II supergravity based on multiple copies and/or mixings of $\lambda$-deformed coset CFTs on $\mathrm{SO}(n+1)_k/\mathrm{SO}(n)_k$, with $n = 2, 3, 4$. The resulting ten-dimensional geometries contain…

High Energy Physics - Theory · Physics 2026-05-15 Giuseppe Casale , Georgios Itsios

We construct a new family of $\text{AdS}_2\times S^3\times S^2$ solutions to Type IIB supergravity arising as near-horizon geometries of D1-F1-D3-D5-NS5-D7 brane intersections preserving 4 supersymmetries. We show that a subclass of these…

High Energy Physics - Theory · Physics 2023-05-31 Yolanda Lozano , Nicolò Petri , Cristian Risco

In this paper we construct a new Type IIB background with an $AdS_4$ factor that preserves ${\cal N}=4$ Supersymmetry. This solution is obtained using a non-Abelian T-duality transformation on the Type IIA reduction of the $AdS_4\times S^7$…

High Energy Physics - Theory · Physics 2016-12-21 Yolanda Lozano , Niall T. Macpherson , Jesus Montero , Carlos Nunez

The Yang-Baxter (YB) deformation is a systematic way of performibg integrable deformations of two-dimensional symmetric non-linear sigma models. The deformations can be labeled by classical $r$-matrices satisfying the classical YB equation.…

High Energy Physics - Theory · Physics 2018-09-26 Domenico Orlando , Susanne Reffert , Yuta Sekiguchi , Kentaroh Yoshida

Based on the construction of Poisson-Lie T-dual $\sigma$-models from a common parent action we study a candidate for the non-abelian respectively Poisson-Lie T-duality group. This group generalises the well-known abelian T-duality group…

High Energy Physics - Theory · Physics 2018-07-04 Dieter Lust , David Osten

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 analyse a one parameter family of supersymmetric solutions of type IIB supergravity that includes AdS_5 x S^5. For small values of the parameter the solutions are causally well-behaved, but beyond a critical value closed timelike curves…

High Energy Physics - Theory · Physics 2009-11-10 Jerome P. Gauntlett , Jan B. Gutowski , Nemani V. Suryanarayana

We show how so-called Yang-Baxter (YB) deformations of sigma models, based on an R-matrix solving the classical Yang-Baxter equation (CYBE), give rise to marginal current-current deformations when applied to the Wess-Zumino-Witten (WZW)…

High Energy Physics - Theory · Physics 2019-06-27 Riccardo Borsato , Linus Wulff

We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space (AdS$_5$) with a five-dimensional Riemannian manifold $M_{5}$, where the…

High Energy Physics - Theory · Physics 2017-05-12 Christopher Couzens