Results 41 to 50 of about 42,508 (228)
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
Classification of finite irreducible modules over the Lie conformal superalgebra CK6 [PDF]
, 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
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
Non-relativistic conformal symmetries and Newton-Cartan structures [PDF]
, 2009 This article provides us with a unifying classification of the conformal infinitesimal symmetries of non-relativistic Newton-Cartan spacetime. The Lie algebras of non-relativistic conformal transformations are introduced via the Galilei structure.
Christian Duval +3 more
core +3 more sources
Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models
Advances in Mathematical Physics, 2010 It is known that there are no local scalar Lie fields in more than two dimensions. Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras.
Ivan Todorov
doaj +1 more source
A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE
Acta Polytechnica, 2014 We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole.
Satoshi Ohya
doaj +1 more source
Background Independent Algebraic Structures in Closed String Field Theory [PDF]
, 1994 We construct a Batalin-Vilkovisky (BV) algebra on moduli spaces of Riemann surfaces. This algebra is background independent in that it makes no reference to a state space of a conformal field theory.
A. Sen +5 more
core +2 more sources
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 +4 more sources
Computation of cohomology of Lie conformal and Poisson vertex algebras [PDF]
Selecta Mathematica, 2020 We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as for the universal affine and Virasoro Poisson vertex algebras. We establish finite dimensionality of this cohomology for conformal Poisson vertex (super)algebras that are ...
Bakalov B., De Sole A., Kac V. G.
openaire +6 more sources