Results 41 to 50 of about 233,734 (178)
Semi-classical Virasoro blocks: proof of exponentiation
Journal of High Energy Physics, 2020 Virasoro conformal blocks are expected to exponentiate in the limit of large central charge c and large operator dimensions hi, with the ratios hi/c held fixed.
Mert Beşken, Shouvik Datta, Per Kraus
doaj +1 more source
The derivation Lie algebra of the higher rank Virasoro-like algebra and its automorphism groups [PDF]
, 2009 In this paper, we study the derivation Lie Algebra of the higher rank Virasoro-like algebra. We prove that it isomorphic to the skew derivation Lie Algebra.
Tang, Xiao-Min, Xu, Jin-Li
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the centroid structure and algebraic properties of a class of n‐dimensional filiform Lie algebras Ln. The structural characteristics of the group G and the ring R formed by centroids are analyzed. The invertible linear transformations of the centroid form a mixed group G, and it is proved that G can be decomposed into the ...
Demin Yu +2 more
wiley +1 more source
From tensor algebras to hyperbolic Kac-Moody algebras
Journal of High Energy PhysicsWe propose a novel approach to study hyperbolic Kac-Moody algebras, and more specifically, the Feingold-Frenkel algebra 𝔉, which is based on considering the tensor algebra of level-one states before descending to the Lie algebra by converting tensor ...
Axel Kleinschmidt +2 more
doaj +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
Extremal rotating black holes in the near-horizon limit: Phase space and symmetry algebra
Physics Letters B, 2015 We construct the NHEG phase space, the classical phase space of Near-Horizon Extremal Geometries with fixed angular momenta and entropy, and with the largest symmetry algebra. We focus on vacuum solutions to d dimensional Einstein gravity.
G. Compère +3 more
doaj +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
wiley +1 more source
On rigidity of 3d asymptotic symmetry algebras
Journal of High Energy Physics, 2019 We study rigidity and stability of infinite dimensional algebras which are not subject to the Hochschild-Serre factorization theorem. In particular, we consider algebras appearing as asymptotic symmetries of three dimensional spacetimes, the b m s 3 ...
A. Farahmand Parsa +2 more
doaj +1 more source
Mathematics, 2022 This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U(h)-free modules of rank one over the differential operator algebra.
Munayim Dilxat +3 more
doaj +1 more source
Recursive Relations for the S‐matrix of Liouville Theory
Fortschritte der Physik, Volume 73, Issue 11, November 2025.Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. This is used to derive equations for the S‐matrix, from which a recursive relation for the normal symbol of the S‐matrix for discrete center‐of‐mass momenta is obtained.
George Jorjadze +2 more
wiley +1 more source