Results 11 to 20 of about 9,131 (83)

Three-dimensional black holes and descendants

Physics Letters B, 2014
We determine the most general three-dimensional vacuum spacetime with a negative cosmological constant containing a non-singular Killing horizon. We show that the general solution with a spatially compact horizon possesses a second commuting Killing ...
Carmen Li, James Lucietti
doaj   +1 more source

Algebraic proofs for shallow water bi–Hamiltonian systems for three cocycle of the semi-direct product of Kac–Moody and Virasoro Lie algebras

Open Mathematics, 2018
We prove new theorems related to the construction of the shallow water bi-Hamiltonian systems associated to the semi-direct product of Virasoro and affine Kac–Moody Lie algebras.
Zuevsky A.
doaj   +1 more source

Supersymmetric SYK model with global symmetry

Journal of High Energy Physics, 2018
In this paper, we introduce an N=1 $$ \mathcal{N}=1 $$ supersymmetric SYK model with SO(q) global symmetry. We study the large N expansion of the bi-local collective action of our model.
Prithvi Narayan, Junggi Yoon
doaj   +1 more source

q-Virasoro algebra and its relation to the q-deformed KdV system

Physics Letters B, 1990
Abstract In the same way as the Virasoro algebra is related to the Korteweg-de Vries (KdV) integrable system we have obtained the q-deformed KdV equation corresponding to the q-deformed Virasoro algebra. This equation appears to be a lattice system which is a specific discretization of KdV and a deformation of conformal field theory.
M. Chaichian, Z. Popowicz, P. Prešnajder   +2 more
openaire   +1 more source

Vertex Operators of the q-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions

Letters in Mathematical Physics, 1997
Primary fields of the $q$-deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on the primary fields are represented by the shift operator $ _ f(x)=f( x)$.
Awata, Hidetoshi, Kubo, Harunobu, Morita, Yoshifumi, Odake, Satoru, Shiraishi, Jun'ichi   +4 more
openaire   +2 more sources

The Virasoro Algebra and Some Exceptional Lie and Finite Groups [PDF]

, 2006
We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras.
Tuite, Michael P.
core   +6 more sources

Associative-algebraic approach to logarithmic conformal field theories [PDF]

, 2007
We set up a strategy for studying large families of logarithmic conformal field theories by using the enlarged symmetries and non--semi-simple associative algebras appearing in their lattice regularizations (as discussed in a companion paper).
Anderson, Belavin, Bhaseen, Cardy, Cardy, Di Francesco, di Francesco, di Francesco, Feigin, Feigin, Feverati, Fjelstad, Flohr, Flohr, Flohr, Flohr, Flohr, Gaberdiel, Gaberdiel, Gaberdiel, Gaberdiel, Gaberdiel, Gotz, Green, Grimm, Gruzberg, Gurarie, Gurarie, Gurarie, Gurarie, Guruswamy, Hubert Saleur, Jones, Kausch, Kausch, Knizhnik, Koo, Martin, Martin, Martin, Martin, Moore, N. Read, Nichols, Nienhuis, Nienhuis, Pasquier, Pearce, Pearce, Read, Read, Rohsiepe, Rozansky, Saleur, Schomerus, Xiong   +55 more
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Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations [PDF]

, 2015
We study the conformal vertex algebras which naturally arise in relation to the Nakajima-Yoshioka blow-up equations.Comment: 23 pages v2.
Bershtein, M., Feigin, B., Litvinov, A.
core   +1 more source

Singular dimensions of the N=2 superconformal algebras. I [PDF]

, 1998
Verma modules of superconfomal algebras can have singular vector spaces with dimensions greater than 1. Following a method developed for the Virasoro algebra by Kent, we introduce the concept of adapted orderings on superconformal algebras.
Doerrzapf, Matthias, Gato-Rivera, Beatriz   +1 more
core   +3 more sources

Elliptic algebra, Frenkel-Kac construction and root of unity limit

, 2017
We argue that the level-$1$ elliptic algebra $U_{q,p}(\widehat{\mathfrak{g}})$ is a dynamical symmetry realized as a part of 2d/5d correspondence where the Drinfeld currents are the screening currents to the $q$-Virasoro/W block in the 2d side.
Itoyama, Hiroshi, Oota, Takeshi, Yoshioka, Reiji   +2 more
core   +1 more source