Integrals of motion in conformal field theory with W-symmetry and the ODE/IM correspondence [PDF]
The version accepted by Nuclear Physics Section B, 1+43 pages, 1 ...
Katsushi Ito, Mingshuo Zhu
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On non-linear W-infinity symmetry of generalized Liouville and conformal Toda models [PDF]
Invariance under non-linear ${\sf {\hat W}}_{\infty}$ algebra is shown for the two-boson Liouville type of model and its algebraic generalizations, the extended conformal Toda models. The realization of the corresponding generators in terms of two boson currents within KP hierarchy is presented.
Aratyn, H. +3 more
openaire +5 more sources
Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations [PDF]
We consider the conformal blocks in the theories with extended conformal W-symmetry for the integer Virasoro central charges. We show that these blocks for the generalized twist fields on sphere can be computed exactly in terms of the free field theory ...
P. Gavrylenko, A. Marshakov
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Irregular conformal block, spectral curve and flow equations [PDF]
Irregular conformal block is motivated by the Argyres-Douglas type of N=2 super conformal gauge theory. We investigate the classical/NS limit of irregular conformal block using the spectral curve on a Riemann surface with irregular punctures, which is ...
S. Choi, C. Rim, Hong Zhang
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Higher spin symmetries and w∞ algebra in the conformal affine Toda model
Abstract As recently shown the conformal affine Toda models can be obtained via hamiltonian reduction from a two-loop Kac-Moody algebra. In this paper we propose a systematic procedure to analyze the higher spin symmetries of the conformal affine Toda models.
Aratyn, H. +4 more
openaire +3 more sources
Higher spin entanglement and W_N conformal blocks [PDF]
Two-dimensional conformal field theories with extended W-symmetry algebras have dual descriptions in terms of weakly coupled higher spin gravity in AdS3 at large central charge.
J. Boer +4 more
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Holographic Rényi entropy for CFT with W symmetry [PDF]
A bstractIn this paper we investigate the holographic Rényi entropy of two disjoint intervals on complex plane with small cross ratio x for conformal field theory with W symmetry in the ground state, which could be dual to a higher spin AdS3 gravity.
Bin Chen, J. Long, Jiaju Zhang
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Integrable structure, W-symmetry and AGT relation [PDF]
A bstractIn these notes we consider integrable structure of the conformal field theory with the algebra of symmetries $ \mathcal{A} = {W_n} \otimes H $, where Wn is W–algebra and H is Heisenberg algebra.
V. Fateev, A. Litvinov
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Probabilistic construction of Toda Conformal Field Theories [PDF]
Following the 1984 seminal work of Belavin, Polyakov and Zamolodchikov on two-dimensional conformal field theories, Toda conformal field theories were introduced in the physics literature as a family of two-dimensional conformal field theories that enjoy,
Baptiste Cercl'e +2 more
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Generalized Gibbs ensemble description of real-space entanglement spectra of (2+1) -dimensional chiral topological systems with SU(2) symmetry [PDF]
We provide a quantitative analysis of the splittings in low-lying numerical entanglement spectra (ES), at given momentum, of a number of quantum states that can be identified, based on “LiHaldane state-counting”, as ground states of (2 + 1)-dimensional ...
Mark J. Arildsen, A. Ludwig
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