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We find an exact type IIB supergravity solution that represents a one-parameter deformation of the T-dual of the AdS_5 x S^5 background (with T-duality applied in all 6 abelian bosonic isometric directions). The non-trivial fields are the…

高能物理 - 理论 · 物理学 2015-09-22 B. Hoare , A. A. Tseytlin

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…

We elucidate the connection between the N=1 beta-deformed SYM theory and noncommutativity. Our starting point is the T-duality generating transformation involved in constructing the gravity duals of both beta-deformed and noncommutative…

高能物理 - 理论 · 物理学 2007-05-23 Manuela Kulaxizi

We consider a $(2+1)$-dimensional spacetime whose two-dimensional space part is Weyl-related to a surface of arbitrary negative constant Gaussian curvature with symmetries of two-dimensional Lie algebra. It is shown that the geometry is a…

高能物理 - 理论 · 物理学 2025-07-10 F. Naderi , A. Rezaei-Aghdam

The Yang-Baxter $\sigma$-model is a systematic way to generate integrable deformations of AdS$_5\times$S$^5$. We recast the deformations as seen by open strings, where the metric is undeformed AdS$_5\times$S$^5$ with constant string…

In a recent study, we have observed that by imposing a truncated T-duality transformation on the circular reduction of the bosonic couplings in the heterotic theory at four- and six-derivative orders, we can calculate these couplings in a…

高能物理 - 理论 · 物理学 2024-07-19 Mohammad R. Garousi

We use the duality between color and kinematics to obtain scattering amplitudes in non-minimal conformal N=0,1,2,4 (super)gravity theories. Generic tree amplitudes can be constructed from a double copy between (super-)Yang-Mills theory and…

高能物理 - 理论 · 物理学 2017-07-11 Henrik Johansson , Josh Nohle

We solve the problem of how to classify the first-order vertex-algebraic deformations for any grading-restricted vertex algebra $V$ that is freely generated by homogeneous elements of positive weights. We approach by computing the second…

量子代数 · 数学 2025-03-06 Vladimir Kovalchuk , Fei Qi

We present a systematic procedure to obtain singular solutions of the constant quantum Yang-Baxter equation in arbitrary dimension. This approach, inspired in the Lie (super)algebra structure, is explicitly applied to the particular case of…

量子代数 · 数学 2017-04-17 A. Tanasa , A. Ballesteros , F. J. Herranz

We study the deformations of a wide class of Yang-Baxter (YB) operators arising from Lie algebras. We relate the higher order deformations of YB operators to Lie algebra deformations. We show that the obstruction to integrating deformations…

量子代数 · 数学 2024-03-18 Emanuele Zappala

Recent work has proposed a method for imposing T-duality on the metric, $B$-field, and dilaton of the classical effective action of string theory without using Kaluza-Klein reduction. Specifically, the $D$-dimensional effective action…

高能物理 - 理论 · 物理学 2023-10-17 Mohammad R. Garousi

We study an SL(2, Z) symmetry of a variant of BCOV theory in three complex dimensions. Using conjectural descriptions of twists of superstrings in terms of topological strings, we argue that this action can be thought of as a version of…

数学物理 · 物理学 2025-01-14 Surya Raghavendran , Philsang Yoo

We define three fundamental solvable bilinear deformations for any massive non-relativistic 2d quantum field theory (QFT). They include the $\mathrm{T}\overline{\mathrm{T}}$ deformation and the recently introduced hard rod deformation. We…

高能物理 - 理论 · 物理学 2021-05-12 Dennis Hansen , Yunfeng Jiang , Jiuci Xu

We reconstruct type II supergravities by using building blocks of $O(d) \times O(d)$ invariants.These invariants are obtained by explicitly analyzing $O(d) \times O(d)$ transformations of 10 dimensional massless fields. Similar…

高能物理 - 理论 · 物理学 2023-11-14 Yoshifumi Hyakutake , Kiyoto Maeyama

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…

高能物理 - 理论 · 物理学 2016-02-17 P. Marcos Crichigno , Takuya Matsumoto , Kentaroh Yoshida

It has recently been demonstrated that the Classical Yang-Baxter Equation (CYBE) emerges from supergravity via the open-closed string map. Thus, given any solution with an isometry group, there exists a deformed solution based on an…

高能物理 - 理论 · 物理学 2018-11-14 Thiago Araujo , Eoin Ó Colgáin , Hossein Yavartanoo

Supersymmetry is used to derive conditions on higher derivative terms in the effective action of type IIB supergravity. Using these conditions, we are able to prove earlier conjectures that certain modular invariant interactions of order…

高能物理 - 理论 · 物理学 2009-10-31 Michael B. Green , Savdeep Sethi

We reformulate the manifestly T-dual description of the massless sector of the closed bosonic string, directly from the geometry associated with the (left and right) affine Lie algebra of the coset space Poincare/Lorentz. This construction…

高能物理 - 理论 · 物理学 2015-06-17 Martin Polacek , Warren Siegel

We consider an abelian N=4 super Yang-Mills theory coupled to background N=4 conformal supergravity fields. At the classical level, this coupling is invariant under global SU(1,1) transformation of the complex ("dilaton-axion") supergravity…

高能物理 - 理论 · 物理学 2017-02-27 I. L. Buchbinder , N. G. Pletnev , A. A. Tseytlin

A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter theta. The algebraic relations remain the same, whereas the comultiplication rule (Leibniz rule) is different…

高能物理 - 理论 · 物理学 2007-05-23 Paolo Aschieri , Christian Blohmann , Marija Dimitrijevic , Frank Meyer , Peter Schupp , Julius Wess