Results 41 to 50 of about 247 (140)
Lie algebras associated with the renormalized higher powers of white noise [PDF]
, 2007 We recall the recently established (cf. [1] and [2]) connection between the renormalized higher powers of white noise (RHPWN) *-Lie algebra and the Virasoro--Zamolodchikov$w_{\infty}*$--Lie algebra of conformal field theory (cf. [10]). Motivated by this
Boukas, A., ACCARDI, LUIGI
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q-Virasoro algebra and its relation to the q-deformed KdV system
Physics Letters B, 1990 Abstract In the same way as the Virasoro algebra is related to the Korteweg-de Vries (KdV) integrable system we have obtained the q-deformed KdV equation corresponding to the q-deformed Virasoro algebra. This equation appears to be a lattice system which is a specific discretization of KdV and a deformation of conformal field theory.
M. Chaichian +2 more
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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
A Study of Equivalence of SUSY Theories using Adinkras and Super Virasoro Algebras [PDF]
, 2012 Supersymmetry (SUSY) theories describe a wide number of quantum field theories with supersymmetric particles interacting. By using two methods, Adinkras and Super Virasoro algebras (SVAs), more information is gained about SUSY theories: (a.) when two
Chappell, Isaac Samuel
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Letters in Mathematical Physics, 1997 Primary fields of the $q$-deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on the primary fields are represented by the shift operator $Θ_ξ f(x)=f(ξx)$.
Awata, Hidetoshi +4 more
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Faber's socle intersection numbers via Gromov–Witten theory of elliptic curve
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2698-2707, September 2025.Abstract The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of Mg$\mathcal {M}_g$. This new proof exhibits a new beautiful tautological relation that stems from the recent work of Oberdieck–Pixton on the Gromov–Witten theory of the elliptic curve via a refinement of ...
Xavier Blot +2 more
wiley +1 more source
Perturbative and non-perturbative studies in low dimensional quantum field theory [PDF]
, 2007 A relevant perturbation of a conformal field theory (CFT) on the half-plane, by both a bulk and boundary operator, often leads to a massive theory with a particle description in terms of the bulk S-matrix and boundary reflection factor R.
Lishman, Anna Rebecca
core
Wall‐crossing for quasimaps to GIT stack bundles
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We define the notion of ε$\epsilon$‐stable quasimaps to a GIT stack bundle, and study the wall‐crossing behavior of the resulting ε$\epsilon$‐quasimap theory as ε$\epsilon$ varies.
Shidhesh Supekar, Hsian‐Hua Tseng
wiley +1 more source
From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
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