Results 11 to 20 of about 110,923 (229)
Locally conformal SKT almost abelian Lie algebras [PDF]
Linear Algebra and its Applications, 2022 20 ...
Louis-Brahim Beaufort, Anna Fino
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Finite growth representations of infinite Lie conformal algebras [PDF]
Journal of Mathematical Physics, 2003 We classify all finite growth representations of all infinite rank subalgebras of the Lie conformal algebra gc_1 that contain a Virasoro subalgebra.Comment: 22 ...
Carina Boyallían +2 more
core +7 more sources
Loop Virasoro Lie Conformal Algebra [PDF]
Journal of Mathematical Physics, 2013 The Lie conformal algebra of loop Virasoro algebra, denoted by $\mathscr{CW}$, is introduced in this paper. Explicitly, $\mathscr{CW}$ is a Lie conformal algebra with $\mathbb{C}[\partial]$-basis $\{L_i\,|\,i\in\mathbb{C}\}$ and $\lambda$-brackets $[L_i\,
Henan Wu, Qiufan Chen, Xiaoqing Yue
semanticscholar +5 more sources
Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras [PDF]
Journal of Algebra, 2021 In a previous paper by the authors, we obtain the first example of a finitely freely generated simple $\mathbb Z$-graded Lie conformal algebra of linear growth that cannot be embedded into any general Lie conformal algebra. In this paper, we obtain, as a byproduct, another class of such Lie conformal algebras by classifying $\mathbb Z$-graded simple ...
Yu-cai Su, Xiaoqing Yue
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A remark on simplicity of vertex algebras and Lie conformal algebras [PDF]
Journal of Algebra, 2006 I give a short proof of the following algebraic statement: if a vertex algebra is simple, then its underlying Lie conformal algebra is either abelian, or it is an irreducible central extension of a simple Lie conformal algebra.Comment: 6 pages.
Alessandro D'Andrea +14 more
core +7 more sources
Conformal field theories with ZN and Lie algebra symmetries [PDF]
Physics Letters B, 2004 We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group (Z_N x Z_2, where Z_2 stands for the Z_N charge conjugation), as singlets, [(N-1)/2 ...
Vladimir S. Dotsenko +2 more
openalex +7 more sources
Conformal biderivations of loop W(a, b) Lie conformal algebra [PDF]
Frontiers of Mathematics, 2019 We study conformal biderivations of a Lie conformal algebra. First, we give the definition of a conformal biderivation. Next, we determine the conformal biderivations of loop W(a, b) Lie conformal algebra, loop Virasoro Lie conformal algebra, and ...
Jun Zhao, Liangyun Chen, Lamei Yuan
semanticscholar +4 more sources
On embedding of Lie conformal algebras into associative conformal algebras
, 2004 We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same. We also give a list of open questions concerning the embedding of Lie conformal algebras into associative ...
Michael Roitman
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Loop Schr\"odinger-Virasoro Lie conformal algebra [PDF]
International Journal of Mathematics, 2015 In this paper, we introduce two kinds of Lie conformal algebras associated with the loop Schr\"odinger-Virasoro Lie algebra and the extended loop Schr\"odinger-Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of
Haibo Chen +3 more
semanticscholar +4 more sources
Asymptotic symmetries of three dimensional gravity and the membrane paradigm
Journal of High Energy Physics, 2019 The asymptotic symmetry group of three-dimensional (anti) de Sitter space with Brown-Henneaux boundary conditions is the two dimensional conformal group with central charge c = 3ℓ/2G.
Mariana Carrillo-González +1 more
doaj +3 more sources