Results 11 to 20 of about 42,508 (228)
Simplicity of quadratic Lie conformal algebras [PDF]
Communications in Algebra, 2015 In this paper, simplicity of quadratic Lie conformal algebras are investigated. From the point view of the corresponding Gel'fand-Dorfman bialgebras, some sufficient conditions and necessary conditions to ensure simplicity of quadratic Lie conformal algebras are presented.
Yanyong Hong, Zhixiang Wu
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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.
Bojko Bakalov +3 more
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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
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Conformal field theories with ZN and Lie algebra symmetries
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
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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
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Realization of the Space of Conformal Blocks in Lie Algebra Modules
Journal of Algebra, 2001 In the paper under review the authors use integrable irreducible representations of generalized twisted affine Lie algebras to give a realization of the space of conformal blocks of conformal field theory on a stable algebraic curve. This allows the author to prove many of the basic properties of the conformal blocks, such as finite dimensionality of ...
Xiandong Wang, Shen Guangyu
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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
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The Lie Conformal Algebra of a Block Type Lie Algebra [PDF]
Algebra Colloquium, 2015 Let L be a Lie algebra of Block type over ℂ with basis {Lα,i | α,i ∈ ℤ} and brackets [Lα,i,Lβ,j]=(β(i+1)-α(j+1)) Lα+β,i+j. In this paper, we first construct a formal distribution Lie algebra of L. Then we decide its conformal algebra B with ℂ[∂]-basis {Lα(w) | α ∈ ℤ} and λ-brackets [Lα(w)λ Lβ(w)]= (α∂+(α+β)λ) Lα+β(w). Finally, we give a classification
Ming Gao, Ying Xu, Xiaoqing Yue
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Structure of a class of Lie conformal algebras of Block type [PDF]
Communications in Algebra, 2020 17 ...
Wei Wang, Chunguang Xia, Li Liu
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Loop Heisenberg-Virasoro Lie conformal algebra [PDF]
Journal of Mathematical Physics, 2014 Let HV be the loop Heisenberg-Virasoro Lie algebra over ℂ with basis {Lα,i, Hβ,j∣α, β, i, j ∈ ℤ} and brackets [Lα,i, Lβ,j] = (α − β) Lα+β,i+j, [Lα,i, Hβ,j] = − βHα+β,i+j, [Hα,i, Hβ,j] = 0. In this paper, a formal distribution Lie algebra of HV is constructed.
Guangzhe Fan, Yucai Su, Henan Wu
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