Results 21 to 30 of about 43,068 (192)
Freely Generated Vertex Algebras and Non?Linear Lie Conformal Algebras [PDF]
Communications in Mathematical Physics, 2005 We introduce the notion of a non--linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded freely generated vertex algebra is the universal enveloping algebra of a non--linear Lie conformal superalgebra.
DE SOLE, ALBERTO, KAC V.
openaire +3 more sources
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 +3 more
doaj +1 more source
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
ODE/IM correspondence and supersymmetric affine Toda field equations
Nuclear 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
Conformal Lie 2-algebras and conformal omni-Lie algebras
, 2022 The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2-term conformal $L_{\infty}$-algebras are equivalent. We construct conformal Lie 2-algebras from conformal omni-Lie algebras and Leibniz conformal algebras.
openaire +2 more sources
Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras [PDF]
Journal of Algebra, 2021 In a previous paper by the authors, we obtain the first example of a finitely freely generated simple $\mathbb Z$-graded Lie conformal algebra of linear growth that cannot be embedded into any general Lie conformal algebra. In this paper, we obtain, as a byproduct, another class of such Lie conformal algebras by classifying $\mathbb Z$-graded simple ...
Yucai Su, Xiaoqing Yue
openaire +3 more sources
Conformal Triple Derivations and Triple Homomorphisms of Lie Conformal Algebras
Algebra 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
Bk spin vertex models and quantum algebras
Nuclear 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
Journal 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
IEEE 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