Results 11 to 20 of about 2,617 (229)
W symmetry in conformal field theory [PDF]
Physics Reports, 1993 137 pages (Corrections in Chapter 7 where some incorrect formulas were taken out, see `Note added' for Comments.)
Schoutens, K., Bouwknegt, P.
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On non-linear W-infinity symmetry of generalized Liouville and conformal Toda models [PDF]
Physics Letters B, 1993 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
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LIE SUPERALGEBRA AND EXTENDED TOPOLOGICAL CONFORMAL SYMMETRY IN NON-CRITICAL W3-STRINGS [PDF]
Modern Physics Letters A, 1994 We obtain a new free field realization of N = 2 super W3-algebra using the technique of quantum Hamiltonian reduction. The construction is based on a particular choice of the simple root system of the affine Lie superalgebra sl (3|2)(1) associated with a non-standard sl (2) embedding.
Ito, Katsushi, Kanno, Hiroaki
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Conformal field theories from deformations of theories with
Physical Review D, 2016 We construct a set of non-rational conformal field theories that consist of deformations of Toda field theory for sl(n). Besides conformal invariance, the theories still enjoy a remnant infinite-dimensional affine symmetry. The case n=3 is used to illustrate this phenomenon, together with further deformations that yield enhanced Kac-Moody symmetry ...
Babaro, Juan Pablo +2 more
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Crossing symmetry and Higher spin towers
Journal of High Energy Physics, 2017 We consider higher spin operators in weakly coupled gauge conformal field theories. Crossing symmetry of mixed scalar correlators relates different higher spin towers and we study the consequences for the spectrum and structure constants of higher spin ...
Luis F. Alday, Agnese Bissi
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Bound on asymptotics of magnitude of three point coefficients in 2D CFT
Journal of High Energy Physics, 2020 We use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead
Sridip Pal
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Hecke relations among 2d fermionic RCFTs
Journal of High Energy Physics, 2023 Recently, Harvey and Wu proposed a suitable Hecke operator for vector-valued SL(2, ℤ) modular forms to connect the characters of different 2d rational conformal field theories (RCFTs).
Kimyeong Lee, Kaiwen Sun
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Higher spin symmetries and w∞ algebra in the conformal affine Toda model
Physics Letters B, 1992 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
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Large-c superconformal torus blocks
Journal of High Energy Physics, 2018 We study large-c SCFT2 on a torus specializing to one-point superblocks in the N $$ \mathcal{N} $$ = 1 Neveu-Schwarz sector. Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly ...
Konstantin Alkalaev, Vladimir Belavin
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A tauberian theorem for the conformal bootstrap
Journal of High Energy Physics, 2017 For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(
Jiaxin Qiao, Slava Rychkov
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