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We study Yang-Baxter deformations of the $AdS_5 \times S^5$ superstring with non-Abelian classical $r$-matrices which satisfy the homogeneous classical Yang-Baxter equation (CYBE). By performing a supercoset construction, we can get…

High Energy Physics - Theory · Physics 2016-11-23 Domenico Orlando , Susanne Reffert , Jun-ichi Sakamoto , Kentaroh Yoshida

We consider the three-parameter integrable deformation of the $AdS_3\times S^3$ superstring background constructed in arXiv:1811.00453. Working on the string worldsheet in uniform lightcone gauge, we find the tree-level bosonic S matrix of…

High Energy Physics - Theory · Physics 2020-12-02 Marco Bocconcello , Isari Masuda , Fiona K. Seibold , Alessandro Sfondrini

We study Schr\"odinger invariant deformations of the AdS_3 x S^3 x T^4 (or K3) solution of IIB supergravity and find a large class of solutions with integer and half-integer dynamical exponents. We analyze the supersymmetries preserved by…

High Energy Physics - Theory · Physics 2013-02-19 Nikolay Bobev , Balt C. van Rees

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

The lambda deformation of the pure spinor formalism of the superstring in the $AdS_{5}\times S^{5}$ background is introduced. It is shown that the deformation preserves the integrability as well as the one-loop conformal invariance of its…

High Energy Physics - Theory · Physics 2019-10-21 Héctor A. Benítez , David M. Schmidtt

We construct the embedding of the $\lambda$-model on $SL(2, \mathbb{R}) \times SU(2) \times SU(2)$ in type-II supergravity. In the absence of deformation, the ten-dimensional background corresponds to the near-horizon limit of the…

High Energy Physics - Theory · Physics 2024-02-06 Georgios Itsios

Integrable deformations of type IIB superstring theory on $\mathrm{AdS}_5\times S^5$ have played an important role over the last years. The Yang-Baxter deformation is a systematic way of generating such integrable deformations. Since its…

High Energy Physics - Theory · Physics 2020-12-02 Domenico Orlando , Susanne Reffert , Jun-ichi Sakamoto , Yuta Sekiguchi , Kentaroh Yoshida

For supercosets with isometry group of the form $\hat{G} \times \hat{G}$, the eta-deformation can be generalised to a two-parameter integrable deformation with independent $q$-deformations of the two copies. We study its kappa-symmetry and…

High Energy Physics - Theory · Physics 2019-10-23 Fiona K. Seibold

Based on the formulation of Yang-Baxter sigma models developed by Klimcik and Delduc-Magro-Vicedo, we explain that various deformations of type IIB superstring on AdS$_5\times$S$^5$ can be characterized by classical $r$-matrices satisfying…

High Energy Physics - Theory · Physics 2015-06-23 Takuya Matsumoto , Kentaroh Yoshida

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. All fluxes are allowed…

High Energy Physics - Theory · Physics 2009-11-11 Jerome P. Gauntlett , Dario Martelli , James Sparks , Daniel Waldram

This paper presents a series of constructions providing eleven-dimensional bosonic supergravity backgrounds. In particular, we treat Lorentzian manifolds given in terms of twisted products of six-dimensional Lorentzian manifolds and…

Differential Geometry · Mathematics 2020-09-15 Ioannis Chrysikos , Anton Galaev

We consider general supersymmetric solutions to minimal supergravity in six dimensions, trivially lifted to IIB supergravity. To any such solution we add a travelling-wave deformation involving the additional directions. The deformed…

High Energy Physics - Theory · Physics 2014-10-31 Oleg Lunin , Samir D. Mathur , David Turton

We analyse the geodesic E10/K(E10) sigma-model in a level decomposition w.r.t. the A8xA1 subalgebra of E10, adapted to the bosonic sector of type IIB supergravity, whose SL(2,R) symmetry is identified with the A1 factor. The bosonic…

High Energy Physics - Theory · Physics 2009-11-10 Axel Kleinschmidt , Hermann Nicolai

We consider two integrable deformations of 2d sigma models on supercosets associated with AdS_n x S^n. The first, the "eta-deformation" (based on the Yang-Baxter sigma model), is a one-parameter generalization of the standard superstring…

High Energy Physics - Theory · Physics 2015-12-14 B. Hoare , A. A. Tseytlin

Light cone gauge manifestly supersymmetric formulations of type IIB 10-dimensional supergravity in $AdS_5 \times S^5$ background and related boundary conformal field theory representations are developed. A precise correspondence between the…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Metsaev

We construct a family of supersymmetric solutions in Type IIB supergravity of the form ${\rm WAdS}_3\times {\rm WS}^3\times T^4$, where ${\rm WAdS}_3$ and ${\rm WS^3}$ denote a warped anti-de Sitter spacetime and a warped 3-sphere,…

High Energy Physics - Theory · Physics 2025-09-24 S. Maurelli , R. Noris , M. Oyarzo , H. Samtleben , M. Trigiante

We discuss some new results on the construction of supersymmetric solutions of Type IIB supergravity of the form ${\rm WAdS}_3\times{\rm WS}^3\times T^4$, ${\rm WAdS}_3$ and ${\rm WS}^3$ denoting \emph{warped} anti-de Sitter spacetime and…

High Energy Physics - Theory · Physics 2026-05-06 Stefano Maurelli , Ruggero Noris , Marcelo Oyarzo , Mario Trigiante

We find a nonsupersymmetric dilatonic deformation of $AdS_5$ geometry as an exact nonsingular solution of the type IIB supergravity. The dual gauge theory has a different Yang-Mills coupling in each of the two halves of the boundary…

High Energy Physics - Theory · Physics 2009-11-10 Dongsu Bak , Michael Gutperle , Shinji Hirano

We study a deformation of the type IIB Maldacena-Nunez background which arises as the near-horizon limit of NS5 branes wrapped on a two-cycle. This background is dual to a "little string theory" compactified on a two-sphere, a theory which…

High Energy Physics - Theory · Physics 2009-11-07 Ofer Aharony , Ehud Schreiber , Jacob Sonnenschein

We consider warped $\mathrm{AdS}_2\times \mathcal M_4$ backgrounds within $F(4)$ gauged supergravity in six dimensions. In particular, we are able to find supersymmetric solutions of the aforementioned type characterized by…

High Energy Physics - Theory · Physics 2019-06-26 Giuseppe Dibitetto , Nicolò Petri