Results 41 to 50 of about 69,153 (221)

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

Conformal structure of FLRW cosmology: spinorial representation and the so $$ \mathfrak{so} $$ (2, 3) algebra of observables

Journal of High Energy Physics, 2020
It was recently shown that the homogeneous and isotropic cosmology of a massless scalar field coupled to general relativity exhibits a new hidden conformal invariance under Mobius transformation of the proper time, additionally to the invariance under ...
Jibril Ben Achour, Etera R. Livine
doaj   +1 more source

Calculus structure on the Lie conformal algebra complex and the variational complex [PDF]

, 2010
We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [A. De Sole and V. G.
A. Sole, Pedram Hekmati, V. Kac
semanticscholar   +1 more source

Finite irreducible conformal modules of rank two Lie conformal algebras [PDF]

Journal of Algebra and its Applications, 2020
In the present paper, we prove that any finite nontrivial irreducible module over a rank two Lie conformal algebra [Formula: see text] is of rank one.
Maosen Xu, Yanyong Hong, Zhixiang Wu
semanticscholar   +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

Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions

Journal of High Energy Physics, 2020
We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schrödinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra.
Oguzhan Kasikci, Nese Ozdemir, Mehmet Ozkan, Utku Zorba   +3 more
doaj   +1 more source

Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra [PDF]

, 2016
In this paper, we classify all finite irreducible conformal modules over a class of Lie conformal algebras $\mathcal{W}(b)$ with $b\in\mathbb{C}$ related to the Virasoro conformal algebra.
Henan Wu, Lamei Yuan
semanticscholar   +1 more source

Galilean contractions of W-algebras

Nuclear Physics B, 2017
Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as W-algebras.
Jørgen Rasmussen, Christopher Raymond
doaj   +1 more source

Notes on higher-derivative conformal theory with nonprimary energy-momentum tensor that applies to the Nambu-Goto string

Journal of High Energy Physics, 2023
I investigate the higher-derivative conformal theory which shows how the Nambu-Goto and Polyakov strings can be told apart. Its energy-momentum tensor is conserved, traceless but does not belong to the conformal family of the unit operator.
Yuri Makeenko
doaj   +1 more source

On Schrödinger-Virasoro type Lie conformal algebras [PDF]

Communications in Algebra, 2016
In this paper, two new classes of Schr dinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b, c\in \mathbb{C}. Moreover, central extensions, conformal derivations and free conformal modules of rank 1 of TSV(a,b) and TSV(c) are determined.
Yanyong Hong
openalex   +4 more sources