Asymmetric CFTs arising at the IR fixed points of RG flows

Georgiou, George; Pappas, George; Sfetsos, Konstadinos

doi:10.1016/j.nuclphysb.2020.115138

Cited by 6 publications

(7 citation statements)

References 26 publications

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“…The former are motivated by the observation that nearly all currently known integrable σ-models possess PL symmetry. Already at one-loop, they have interesting RG flows (examples include [80]) with generic features like multiple fixed points [84]. Recently, first efforts were made to push this analysis to two-loop [34][35][36].…”

Section: Jhep10(2021)210 4 Conclusionmentioning

confidence: 99%

O(D,D)-covariant two-loop β-functions and Poisson-Lie T-duality

Haßler

Rochais

2021

J. High Energ. Phys.

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We show that the one- and two-loop β-functions of the closed, bosonic string can be written in a manifestly O(D,D)-covariant form. Based on this result, we prove that1) Poisson-Lie symmetric σ-models are two-loop renormalisable and2) their β-functions are invariant under Poisson-Lie T-duality.Moreover, we identify a distinguished scheme in which Poisson-Lie symmetry is manifest. It simplifies the calculation of two-loop β-functions significantly and thereby provides a powerful new tool to advance into the quantum regime of integrable σ-models and generalised T-dualities. As an illustrating example, we present the two-loop β-functions of the integrable λ- and η-deformation.

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Section: Jhep10(2021)210 4 Conclusionmentioning

confidence: 99%

O(D,D)-covariant two-loop β-functions and Poisson-Lie T-duality

Haßler

Rochais

2021

J. High Energ. Phys.

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“…As has been analyzed in [31,32] model (II) flows from a UV point for (λ 1 , λ 2 ) = (0, 0) towards a far IR for (λ 1 , λ 2 ) = (λ 0 , λ 0 ). The conformal symmetry of the UV CFT is based on a product of two current algebra symmetries…”

Section: Integrable Branes In the Conformal Limits Of Model (Ii)mentioning

confidence: 89%

“…As has been analyzed in [31,32], the difference in the levels results to an RG flow which acquires a new fixed point in the IR for specific values of the couplings, (λ 1 , λ 2 ) = (λ 0 , λ 0 ) with…”

Section: The Isotropic Deformation At Unequal Levelsmentioning

confidence: 96%

“…It was shown in [31] that due to the different levels the RG flow acquires a fixed point in the IR, in which the CFT is given as a product of current-and coset-type symmetries (see (4.2)). Generalizations of (1.2) in the case of an arbitrary number of WZW models has been done in [32], where a detailed analysis of the IR CFTs showed that although they are characterized by an asymmetry between their holomorphic (right) and antiholomorphic (left) symmetry algebras the left and right sectors posses the same central charge, i.e. c L = c R .…”

Section: Jhep06(2022)035 1 Introductionmentioning

confidence: 99%

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Integrable branes in generalized λ-deformations

Pappas

2022

J. High Energ. Phys.

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We search for integrable boundary conditions and their geometric interpretation as D-branes, in models constructed as generalized λ-deformations of products of group- and coset-spaces. Using the sigma-model approach, we find that all the conformal brane geometries known in the literature for a product of WZW models solve the corresponding boundary conditions, thus persisting as integrable branes along the RG flows of our sigma-models. They consist of the well known G-conjugacy classes, twisted G-conjugacy classes by a permutation automorphism (permutation branes) and generalized permutation branes. Subsequently, we study the properties of the aforementioned brane geometries, especially of those embedded in the backgrounds interpolating between the UV and IR fixed points.

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“…Other anomaly free gaugings utilized in the constructions of λ-deformations by considering tensor product CFTs, and their studies, can be found in[16][17][18].…”

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confidence: 99%

Integrable $λ$-deformations of the Euclidean black string

Driezen,

Sfetsos

2020

Preprint

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Non-trivial outer algebra automorphisms may be utilized in λ-deformations of (gauged) WZW models thus providing an efficient way to construct new integrable models. We provide two such integrable deformations of the exact coset CFT SU(2) k × U(1)/U(1) q with a vector and axial residual gauge. Besides the integer level k and the deformation parameter λ, these models are characterized by the embedding parameter q of the U(1) factor. We show that an axial-vector T-duality persists along the deformations and, therefore, the models are canonically equivalent. We demonstrate integrability even though the space is non-symmetric and compute the RG-flow equations for the parameters λ and q. Our example provides an integrable deformation of the gravitational solution representing a Euclidean three-dimensional black string.

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Asymmetric CFTs arising at the IR fixed points of RG flows

Cited by 6 publications

References 26 publications

O(D,D)-covariant two-loop β-functions and Poisson-Lie T-duality

O(D,D)-covariant two-loop β-functions and Poisson-Lie T-duality

Integrable branes in generalized λ-deformations

Integrable $λ$-deformations of the Euclidean black string

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