Results 61 to 70 of about 357,547 (242)
ODE/IM correspondence and modified affine Toda field equations [PDF]
, 2014 We study the two-dimensional affine Toda field equations for affine Lie algebra $\hat{\mathfrak{g}}$ modified by a conformal transformation and the associated linear equations.
Ito, Katsushi, Locke, Christopher
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Whittaker modules for the planar Galilean conformal algebra and its central extension [PDF]
Communications in Algebra, 2020 Let be the planar Galilean conformal algebra and be its universal central extension. Then (resp. ) admits a triangular decomposition: (resp. ). In this paper, we study universal and generic Whittaker -modules (resp.
Qiufan Chen, Yufeng Yao, Hengyun Yang
semanticscholar +1 more source
Conformal embeddings and simple current extensions [PDF]
, 2014 In this paper we investigate the structure of intermediate vertex algebras associated with a maximal conformal embedding of a reductive Lie algebra in a semisimple Lie algebra of classical type.Comment: Latex file, 45 pages.
Frajria, Pierluigi Moseneder +3 more
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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
On Riemannian manifolds endowed with a locally conformal cosymplectic structure
International Journal of Mathematics and Mathematical Sciences, 2005 We deal with a locally conformal cosymplectic manifold M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form.
Ion Mihai +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
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Conformal Lie algebras via deformation theory [PDF]
Journal of Mathematical Physics, 2019 We discuss possible notions of conformal Lie algebras, paying particular attention to graded conformal Lie algebras with d-dimensional space isotropy: namely, those with a co(d) subalgebra acting in a prescribed way on the additional generators. We classify those Lie algebras up to isomorphism for all d ⩾ 2 following the same methodology used recently ...
openaire +4 more sources
Extensions of modules over a class of Lie conformal algebras 𝒲(b) [PDF]
Journal of Algebra and its Applications, 2018 Let [Formula: see text] be a class of free Lie conformal algebras of rank two with [Formula: see text]-basis [Formula: see text] and relations [Formula: see text] where [Formula: see text] is a nonzero complex number.
Kaijing Ling, Lamei Yuan
semanticscholar +1 more source
On finite representations of conformal algebras
, 2010 We prove a finite torsion-free associative conformal algebra to have a finite faithful conformal representation. As a corollary, it is shown that one may join a conformal unit to such an algebra.
Kolesnikov, Pavel
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