Results 21 to 30 of about 9,131 (83)

Rota-Baxter operators on Witt and Virasoro algebras [PDF]

open access: yes, 2016
The homogeneous Rota-Baxter operators on the Witt and Virasoro algebras are classified. As applications, the induced solutions of the classical Yang-Baxter equation and the induced pre-Lie and PostLie algebra structures are obtained.Comment: 28 ...
Bai, Chengming   +3 more
core   +1 more source

Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras

open access: yes, 2003
It is obtained that an irreducible weight module with finite weight multiplicities over a higher rank Virasoro or super-Virasoro algebra is either a module of the intermediate series, or a so-called finitely-dense module.Comment: Some errors in Theorems ...
Su, Yucai
core   +1 more source

Superspace Geometrical Representations of Extended Super Virasoro Algebras [PDF]

open access: yes, 1998
Utilizing sets of super-vector fields (derivations), explicit expressions are obtained for; (a.) the 1D, N-extended superconformal algebra, (b.) the 1D, N-extended super Virasoro algebra for N = 1, 2 and 4 and (c.) a geometrical realization (GR) covering
Banks   +5 more
core   +2 more sources

A Note of W-algebra Realisations

open access: yes, 1992
We provide a general description of realisations of W--algebras in terms of smaller W--algebras and free fields. This is based on the definition of the W--algebra as the commutant of a set of screening charges.
Bais   +24 more
core   +2 more sources

Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras

open access: yesپژوهش‌های ریاضی, 2020
Introduction Hom-algebraic ‎structures ‎appeared ‎first ‎as a‎ ‎generalization ‎of ‎Lie ‎algebras ‎in [1,3],  ‎where ‎the ‎authors ‎studied ‎‎q-deformations ‎of ‎Witt ‎and ‎Virasoro ‎algebras. A‎ ‎general ‎study ‎and ‎construction ‎of ‎Hom-Lie ‎algebras ‎
Valiollah Khalili
doaj  

RG Flow of Magnetic Brane Correlators

open access: yes, 2010
The magnetic brane solution to five-dimensional Einstein-Maxwell-Chern-Simons theory provides a holographic description of the RG flow from four-dimensional Yang-Mills theory in the presence of a constant magnetic field to a two-dimensional low energy ...
D'Hoker, Eric, Kraus, Per, Shah, Akhil
core   +1 more source

Global Geometric Deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebra [PDF]

open access: yes, 2006
In two earlier articles we constructed algebraic-geometric families of genus one (i.e. elliptic) Lie algebras of Krichever-Novikov type. The considered algebras are vector fields, current and affine Lie algebras.
A. Fialowski   +29 more
core   +2 more sources

On Rigidity of 3d Asymptotic Symmetry Algebras

open access: yes, 2019
We study rigidity and stability of infinite dimensional algebras which are not subject to the Hochschild-Serre factorization theorem. In particular, we consider algebras appearing as asymptotic symmetries of three dimensional spacetimes, the BMS3, u(1 ...
Parsa, A. Farahmand   +2 more
core   +1 more source

Fusion Algebras of Fermionic Rational Conformal Field Theories via a Generalized Verlinde Formula

open access: yes, 1993
We prove a generalization of the Verlinde formula to fermionic rational conformal field theories. The fusion coefficients of the fermionic theory are equal to sums of fusion coefficients of its bosonic projection.
Bais   +49 more
core   +1 more source

Classification of Local Conformal Nets. Case c < 1

open access: yes, 2002
We completely classify diffeomorphism covariant local nets of von Neumann algebras on the circle with central charge c less than 1. The irreducible ones are in bijective correspondence with the pairs of A-D_{2n}-E_{6,8} Dynkin diagrams such that the ...
Kawahigashi, Yasuyuki, Longo, Roberto
core   +4 more sources

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