Results 31 to 40 of about 247 (140)
Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra [PDF]
, 2012 In this paper we investigate Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra. With the determination of certain Lie bialgebra structures on the Virasoro algebra, we determine certain structures on the twisted Heisenberg–Virasoro ...
Pei, Yufeng, Zhu, Linsheng, Liu, Dong
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Framed Vertex Operator Algebras, Codes and the Moonshine Module [PDF]
, 1998 For a simple vertex operator algebra whose Virasoro element is a sum of commutative Virasoro elements of central charge ½, two codes are introduced and studied. It is proved that such vertex operator algebras are rational.
Gerald Höhn +5 more
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Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra [PDF]
Journal of Mathematical Physics, 2017 In this paper, we classify all finite irreducible conformal modules over a class of Lie conformal algebras W(b) with b∈ℂ related to the Virasoro conformal algebra. Explicitly, any finite irreducible conformal module over W(b) is proved to be isomorphic to MΔ,α,β with Δ≠0 or β≠0 if b = 0, or MΔ,α with Δ≠0 if b≠0.
Henan Wu, Lamei Yuan
openaire +2 more sources
Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras
پژوهشهای ریاضی, 2020 Introduction Hom-algebraic structures appeared first as a generalization of Lie algebras in [1,3], where the authors studied q-deformations of Witt and Virasoro algebras. A general study and construction of Hom-Lie algebras
Valiollah Khalili
doaj
Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo +2 more
wiley +1 more source
Probabilistic correlation functions of the Schwarzian field theory
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley +1 more source
2‐Local Derivations on the Twisted Heisenberg–Virasoro Algebra
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.2‐local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this article, we prove that every 2‐local derivation on the twisted Heisenberg–Virasoro algebra is a derivation. MSC2020 Classification 16E40, 17B56, 17B68.
Yufang Zhao +2 more
wiley +1 more source
Comments on the RG‐Flow in Open String Field Theory
Fortschritte der Physik, Volume 73, Issue 12, December 2025.Abstract We define a metric G$G$ on the KBc‐subalgebra modulo gauge and describe the worldsheet RG‐flow as the gradient flow of the action of cubic open string field theory, where the flow lines are kink‐solitons. In particular, for a constant tachyon the gradient flow equations are equivalent to the RG‐equations. Additionally, a more general family of
Julius Hristov
wiley +1 more source
W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
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A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith) [PDF]
, 2005 We consider a family of integro-differential equations depending upon a parameter b as well as a symmetric integral kernel g(x). When b=2 and g is the peakon kernel (i.e.
N W Hone +3 more
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