Results 21 to 30 of about 584,117 (206)

Generalized cosmological constant from gauging Maxwell-conformal algebra

open access: yesPhysics 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

open access: yesSciPost 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

Carrollian and Galilean conformal higher-spin algebras in any dimensions

open access: yesJournal 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

The geometry of Casimir W-algebras

open access: yesSciPost 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

Loop Schrödinger–Virasoro Lie conformal algebra [PDF]

open access: yesInternational 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   +3 more
openaire   +2 more sources

Asymptotic symmetries of three dimensional gravity and the membrane paradigm

open access: yesJournal 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   +1 more source

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

open access: yesJournal 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

Conformal Triple Derivations and Triple Homomorphisms of Lie Conformal Algebras

open access: yesAlgebra Colloquium, 2023
Let [Formula: see text] be a finite Lie conformal algebra. We investigate the conformal derivation algebra [Formula: see text], conformal triple derivation algebra [Formula: see text] and generalized conformal triple derivation algebra [Formula: see text], focusing mainly on the connections among these derivation algebras.
Asif, Sania   +3 more
openaire   +2 more sources

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

open access: yesJournal 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   +3 more
doaj   +1 more source

Loop W(a,b) Lie conformal algebra [PDF]

open access: yesInternational Journal of Mathematics, 2016
Fix [Formula: see text], let [Formula: see text] be the loop [Formula: see text] Lie algebra over [Formula: see text] with basis [Formula: see text] and relations [Formula: see text], where [Formula: see text]. In this paper, a formal distribution Lie algebra of [Formula: see text] is constructed.
Fan, Guangzhe, Wu, Henan, Yu, Bo
openaire   +3 more sources

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