Results 31 to 40 of about 357,547 (242)
Infinite dimensional Lie algebras in 4D conformal quantum field theory [PDF]
, 2008 The concept of global conformal invariance (GCI) opens the way of applying algebraic techniques, developed in the context of 2-dimensional chiral conformal field theory, to a higher (even) dimensional space-time.
+13 more
core +2 more sources
Twisting theory, relative Rota-Baxter type operators and $L_\infty$-algebras on Lie conformal algebras [PDF]
arXiv, 2023 Based on Nijenhuis-Richardson bracket and bidegree on the cohomology complex for a Lie conformal algebra, we develop a twisting theory of Lie conformal algebras.
Liu, Jiefeng, Yuan, Lamei
core +1 more source
Infinite rank Schrodinger-Virasoro type Lie conformal algebras [PDF]
, 2016 Motivated by the structure of certain modules over the loop Virasoro Lie conformal algebra and the Lie structures of Schrodinger-Virasoro algebras, we construct a class of infinite rank Lie conformal algebras CSV (a, b), where a, b are complex numbers ...
Guangzhe Fan, Yu-cai Su, Chunguang Xia
semanticscholar +3 more sources
Non-linear Lie conformal algebras with three generators [PDF]
Selecta Mathematica, 2007 We classify certain non-linear Lie conformal algebras with three generators, which can be viewed as deformations of the current Lie conformal algebra of sl_2.
Bakalov, Bojko, De Sole, Alberto
core +7 more sources
A Lie conformal algebra of Block type [PDF]
arXiv, 2016 The aim of this paper is to study a Lie conformal algebra of Block type. In this paper, conformal derivation, conformal module of rank 1 and low-dimensional comohology of the Lie conformal algebra of Block type are studied. Also, the vertex Poisson algebra structure associated with the Lie conformal algebra of Block type is constructed.
arxiv +3 more sources
Conformal Lie 2-algebras and conformal omni-Lie algebras
, 2023 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.
Tao Zhang
openalex +4 more sources
Conformal field theories with ZN and Lie algebra symmetries [PDF]
Physics Letters B, 2004 We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group (Z_N x Z_2, where Z_2 stands for the Z_N charge conjugation), as singlets, [(N-1)/2 ...
Vladimir S. Dotsenko +2 more
openalex +6 more sources
Cohomology and derivations of BiHom-Lie conformal algebras [PDF]
arXiv, 2018 In this paper, we introduce the notion of a BiHom-Lie conformal algebra and develop its cohomology theory. Also, we discuss some applications to the study of deformations of regular BiHom-Lie conformal algebras. Finally, we introduce derivations of multiplicative BiHom-Lie conformal algebras and study their properties.
Guo, Shuangjian +2 more
arxiv +3 more sources
Structure of locally conformally symplectic Lie algebras and solvmanifolds [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2018 We obtain structure results for locally conformally symplectic Lie algebras. We classify locally conformally symplectic structures on four-dimensional Lie algebras and construct locally conformally symplectic structures on compact quotients of all four-dimensional connected and simply connected solvable Lie groups.
Daniele Angella +2 more
openalex +5 more sources
Lie algebra automorphisms in conformal field theory
, 2000 The role of automorphisms of infinite-dimensional Lie algebras in conformal field theory is examined. Two main types of applications are discussed; they are related to the enhancement and reduction of symmetry, respectively. The structures one encounters also appear in other areas of physics and mathematics.
Jürgen Fuchs, Christoph Schweigert
openalex +4 more sources