For 0 ≤ λ < 1 the bosonic tree-level S-matrix of λ-deformed AdS3 strings remains integrable via cancellation of non-elastic processes, but becomes ill-defined as λ → 1 even though the geometry matches the non-Abelian T-dual.
Yang-Baxter $\sigma$-models and dS/AdS T-duality
11 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We point out the existence of nonlinear $\sigma$-models on group manifolds which are left symmetric and right Poisson-Lie symmetric. We discuss the corresponding rich T-duality story with particular emphasis on two examples: the anisotropic principal chiral model and the $SL(2,C)/SU(2)$ WZW model. The latter has the de Sitter space as its (conformal) non-Abelian dual.
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UNVERDICTED 11representative citing papers
A 4D analogue of the Yang-Baxter sigma model is derived from 6D twistor-space Chern-Simons theory via symmetry reduction, with its 2D equations embedded in anti-self-dual Yang-Mills.
Bi- and uni-vector deformations of heterotic supergravity solutions are constructed using gauged double field theory together with a generalized open/closed map.
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
Derives μ-frame auxiliary deformation of 2D BM model and uplifts both ν- and μ-frames to 4D higher-derivative theory lacking manifest diffeomorphism invariance.
Constructs anomaly-preserving double-current deformations of 2D QFTs via dynamical gauge and Stueckelberg fields, reducing to a holonomy integral kernel that yields a Gaussian transform for the compact boson partition function.
Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.
Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.
Derives integrable deformations of the BM sigma model from 4d Chern-Simons theory via Cole-Weck model deformations linked to homogeneous and inhomogeneous classical Yang-Baxter equations.
Type-II supergravity solutions are built from λ-deformed coset models that contain undeformed AdS spaces, connecting these deformations to AdS/CFT while constraining λ via reality conditions.
Uni-vector deformations in Type IIA map D0 backgrounds to themselves and generate F1-D0 and D2-D0 bound states while relating to DLCQ of M-theory.
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Tree-level S matrix for $\lambda$-deformed AdS3 strings
For 0 ≤ λ < 1 the bosonic tree-level S-matrix of λ-deformed AdS3 strings remains integrable via cancellation of non-elastic processes, but becomes ill-defined as λ → 1 even though the geometry matches the non-Abelian T-dual.
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The Yang-Baxter Sigma Model from Twistor Space
A 4D analogue of the Yang-Baxter sigma model is derived from 6D twistor-space Chern-Simons theory via symmetry reduction, with its 2D equations embedded in anti-self-dual Yang-Mills.
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Poly-vector deformations of heterotic supergravity solutions
Bi- and uni-vector deformations of heterotic supergravity solutions are constructed using gauged double field theory together with a generalized open/closed map.
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Groenewold-Moyal twists, integrable spin-chains and AdS/CFT
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
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The auxiliary-deformed Breitenlohner-Maison model: duality frames and higher-dimensional origin
Derives μ-frame auxiliary deformation of 2D BM model and uplifts both ν- and μ-frames to 4D higher-derivative theory lacking manifest diffeomorphism invariance.
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Double-Current Deformations of Two-Dimensional QFTs with Anomalies
Constructs anomaly-preserving double-current deformations of 2D QFTs via dynamical gauge and Stueckelberg fields, reducing to a holonomy integral kernel that yields a Gaussian transform for the compact boson partition function.
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Integrable sigma models with Haantjes structure on ${H_{4}}$ Lie group
Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.
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The classical Yangian symmetry of Auxiliary Field Sigma Models
Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.
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Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory
Derives integrable deformations of the BM sigma model from 4d Chern-Simons theory via Cole-Weck model deformations linked to homogeneous and inhomogeneous classical Yang-Baxter equations.
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Supergravity realisations of $\lambda$-models
Type-II supergravity solutions are built from λ-deformed coset models that contain undeformed AdS spaces, connecting these deformations to AdS/CFT while constraining λ via reality conditions.
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Uni-vector deformations, D0-bound states and DLCQ
Uni-vector deformations in Type IIA map D0 backgrounds to themselves and generate F1-D0 and D2-D0 bound states while relating to DLCQ of M-theory.