Results 31 to 40 of about 42,859 (179)

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

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

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

Galilean contractions of W-algebras

open access: yesNuclear 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

open access: yesJournal 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

ODE/IM correspondence and supersymmetric affine Toda field equations

open access: yesNuclear Physics B, 2022
We study the linear differential system associated with the supersymmetric affine Toda field equations for affine Lie superalgebras, which has a purely odd simple root system.
Katsushi Ito, Mingshuo Zhu
doaj   +1 more source

Bk spin vertex models and quantum algebras

open access: yesNuclear Physics B, 2020
We construct new solvable vertex models based on the spin representation of the Lie algebra Bk. We use these models to study the algebraic structure underlying such vertex theories.
Doron Gepner
doaj   +1 more source

On a class of conformal E $$ \mathcal{E} $$ -models and their chiral Poisson algebras

open access: yesJournal of High Energy Physics, 2023
In this paper, we study conformal points among the class of E $$ \mathcal{E} $$ -models. The latter are σ-models formulated in terms of a current Poisson algebra, whose Lie-theoretic definition allows for a purely algebraic description of their dynamics ...
Sylvain Lacroix
doaj   +1 more source

Classification of finite irreducible modules over the Lie conformal superalgebra CK6 [PDF]

open access: yes, 2011
We classify all continuous degenerate irreducible modules over the exceptional linearly compact Lie superalgebra E(1, 6), and all finite degenerate irreducible modules over the exceptional Lie conformal superalgebra CK6, for which E(1, 6) is the ...
C. Boyallian   +10 more
core   +2 more sources

The Lorentz Group Using Conformal Geometric Algebra and Split Quaternions for Color Image Processing: Theory and Practice

open access: yesIEEE Access, 2023
The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano   +2 more
doaj   +1 more source

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