Results 11 to 20 of about 70,318 (221)

Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules [PDF]

Journal of Mathematics and Physics, 2022
In this work, we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal associative conformal envelope of the Virasoro Lie conformal algebra ...
H. Alhussein, P. Kolesnikov
semanticscholar   +1 more source

Loop Schr\"odinger-Virasoro Lie conformal algebra [PDF]

, 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, Jianzhi Han, Yu-cai Su, Ying Xu   +3 more
semanticscholar   +1 more source

Generalized cosmological constant from gauging Maxwell-conformal algebra

Physics Letters B, 2020
The Maxwell extension of the conformal algebra is presented. With the help of gauging the Maxwell-conformal group, a conformally invariant theory of gravity is constructed.
Salih Kibaroğlu, Oktay Cebecioğlu
doaj   +1 more source

Integrable Floquet systems related to logarithmic conformal field theory

SciPost Physics, 2023
We study an integrable Floquet quantum system related to lattice statistical systems in the universality class of dense polymers. These systems are described by a particular non-unitary representation of the Temperley-Lieb algebra.
Vsevolod I. Yashin, Denis V. Kurlov, Aleksey K. Fedorov, Vladimir Gritsev
doaj   +1 more source

Loop Heisenberg-Virasoro Lie Conformal algebra [PDF]

, 2014
Let $HV$ be the loop Heisenberg-Virasoro Lie algebra over $\C$ with basis $\{L_{\a,i},H_{\b,j}\,|\,\a,\,\b,i,j\in\Z\}$ and brackets $[L_{\a,i},L_{\b,j}]=(\a-\b)L_{\a+\b,i+j}, [L_{\a,i},H_{\b,j}]=-\b H_{\a+\b,i+j},[H_{\a,i},H_{\b,j}]=0$.
Guangzhe Fan, Yu-cai Su, Henan Wu
semanticscholar   +1 more source

Carrollian and Galilean conformal higher-spin algebras in any dimensions

Journal of High Energy Physics, 2022
We present higher-spin algebras containing a Poincaré subalgebra and with the same set of generators as the Lie algebras that are relevant to Vasiliev’s equations in any space-time dimension D ≥ 3. Given these properties, they can be considered either as
Andrea Campoleoni, Simon Pekar
doaj   +1 more source

Loop Virasoro Lie Conformal Algebra [PDF]

, 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   +1 more source

Conformal Isometry of Lie Group Representation in Recurrent Network of Grid Cells [PDF]

NeurReps, 2022
The activity of the grid cell population in the medial entorhinal cortex (MEC) of the mammalian brain forms a vector representation of the self-position of the animal.
Dehong Xu, Ruiqi Gao, Wenhao Zhang, Xue-Xin Wei, Y. Wu   +4 more
semanticscholar   +1 more source

The geometry of Casimir W-algebras

SciPost Physics, 2018
Let $\mathfrak{g}$ be a simply laced Lie algebra, $\widehat{\mathfrak{g}}_1$ the corresponding affine Lie algebra at level one, and $\mathcal{W}(\mathfrak{g})$ the corresponding Casimir W-algebra.
Raphaël Belliard, Bertrand Eynard, Sylvain Ribault
doaj   +1 more source

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
doaj   +1 more source