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Structures of W(2.2) Lie conformal algebra

Open Mathematics, 2016
The purpose of this paper is to study W(2, 2) Lie conformal algebra, which has a free ℂ[∂]-basis {L, M} such that [LλL]=(∂+2λ)L,[LλM]=(∂+2λ)M,[MλM]=0$\begin{equation}[{L_\lambda }L] = (\partial + 2\lambda )L,[{L_\lambda }M] = (\partial + 2\lambda )M,[{M_\
Yuan Lamei, Wu Henan
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Lie conformal algebra cohomology and the variational complex [PDF]

Communications in Mathematical Physics, 2008
We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories.
A.M. Vinogradov, Alberto de Sole, B. Bakalov, B. Bakalov, H. Helmholtz, I. Dorfman, V. Volterra, Victor G. Kac   +7 more
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Schrödinger-Virasoro Lie conformal algebra [PDF]

Journal of Mathematical Physics, 2013
We first construct two new nonsimple conformal algebras associated with the Schrödinger-Virasoro Lie algebra and the extended Schrödinger-Virasoro Lie algebra, respectively. Then we study conformal derivations and free nontrivial rank one conformal modules of these two conformal algebras.
Su, Yucai, Yuan, Lamei
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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, Robert F. Penna   +1 more
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Loop Schrödinger–Virasoro Lie conformal algebra [PDF]

International Journal of Mathematics, 2016
In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrödinger–Virasoro Lie algebra and the extended loop Schrödinger–Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank
Chen, Haibo, Han, Jianzhi, Su, Yucai, Xu, Ying   +3 more
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Conformal biderivations of loop W(a, b) Lie conformal algebra [PDF]

Frontiers of Mathematics, 2021
In this paper, we study conformal biderivations of a Lie conformal algebra. First, we give the definition of conformal biderivation. Next, we determine the conformal biderivations of loop $W(a,b)$ Lie conformal algebra, loop Virasoro Lie conformal algebra and Virasoro Lie conformal algebra.
Zhao, Jun, Chen, Liangyun, Yuan, Lamei
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Finite growth representations of infinite Lie conformal algebras [PDF]

Journal of Mathematical Physics, 2002
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 ...
Awata, Carina Boyallian, Jose I. Liberati, Kac, Kac, Kac, Victor G. Kac   +6 more
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Loop Virasoro Lie conformal algebra [PDF]

Journal of Mathematical Physics, 2014
The Lie conformal algebra of loop Virasoro algebra, denoted by \documentclass[12pt]{minimal}\begin{document}$\mathscr {CW}$\end{document}CW, is introduced in this paper. Explicitly, \documentclass[12pt]{minimal}\begin{document}$\mathscr {CW}$\end{document}CW is a Lie conformal algebra with \documentclass[12pt]{minimal}\begin{document}$\mathbb {C ...
Wu, Henan, Chen, Qiufan, Yue, Xiaoqing
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The Lie Conformal Algebra of a Block Type Lie Algebra [PDF]

Algebra Colloquium, 2015
Let L be a Lie algebra of Block type over ℂ with basis {Lα,i | α,i ∈ ℤ} and brackets [Lα,i,Lβ,j]=(β(i+1)-α(j+1)) Lα+β,i+j. In this paper, we first construct a formal distribution Lie algebra of L. Then we decide its conformal algebra B with ℂ[∂]-basis {Lα(w) | α ∈ ℤ} and λ-brackets [Lα(w)λ Lβ(w)]= (α∂+(α+β)λ) Lα+β(w). Finally, we give a classification
Gao, Ming, Xu, Ying, Yue, Xiaoqing
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Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
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