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
core +8 more sources
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
+7 more sources
W symmetry in conformal field theory [PDF]
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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LIE SUPERALGEBRA AND EXTENDED TOPOLOGICAL CONFORMAL SYMMETRY IN NON-CRITICAL W3-STRINGS [PDF]
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.
Katsushi Ito, Hiroaki Kanno
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Conformal field theories from deformations of theories with
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 ...
Gaston Giribet+5 more
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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 +4 more sources
Towards a supersymmetric
Changhyun Ahn
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Isomonodromic deformations and conformal field theory with W-symmetry
The correspondence between isomonodromic deformations and conformal field theories with W-symmetry relates isomonodromic tau-functions to linear combinations of conformal blocks of the W-algebras. In my thesis I conjecture the existence of such a relation in the general case, thus generalizing the result of Gamayun-Iorgov-Lisovyy from the Virasoro ...
P. Gavrylenko
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Pseudo Entropy in U(1) gauge theory
We study the properties of pseudo entropy, a new generalization of entanglement entropy, in free Maxwell field theory in d = 4 dimension. We prepare excited states by the different components of the field strengths located at different Euclidean times ...
Jyotirmoy Mukherjee
doaj +1 more source
Partition functions of higher derivative conformal fields on conformally related spaces
The character integral representation of one loop partition functions is useful to establish the relation between partition functions of conformal fields on Weyl equivalent spaces.
Jyotirmoy Mukherjee
doaj +1 more source