Results 31 to 40 of about 233,734 (178)

A Centerless Virasoro Algebra of Master Symmetries for the Ablowitz-Ladik Hierarchy

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
We show that the (semi-infinite) Ablowitz-Ladik (AL) hierarchy admits a centerless Virasoro algebra of master symmetries in the sense of Fuchssteiner [Progr. Theoret. Phys. 70 (1983), 1508-1522].
Luc Haine, Didier Vanderstichelen
doaj   +1 more source

Berry phases on Virasoro orbits

open access: yesJournal of High Energy Physics, 2017
We point out that unitary representations of the Virasoro algebra contain Berry phases obtained by acting on a primary state with conformal transformations that trace a closed path on a Virasoro coadjoint orbit.
Blagoje Oblak
doaj   +1 more source

Supersymmetric partition function hierarchies and character expansions

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
We construct the supersymmetric $$\beta $$ β and (q, t)-deformed Hurwitz–Kontsevich partition functions through W-representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials, respectively ...
Rui Wang   +3 more
doaj   +1 more source

Twisted Heisenberg-Virasoro vertex operator algebra [PDF]

open access: yes, 2019
In this paper, we study a new kind of vertex operator algebras related to twisted Heisenberg-Virasoro algebra. We showed that there exist one-to-one correspondences between the restricted module categories of twisted Heisenberg-Virasoro algebras of rank ...
Guo, Hongyan   +3 more
core   +1 more source

Matrix model partition function by a single constraint

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
In the recent study of Virasoro action on characters, we discovered that it gets especially simple for peculiar linear combinations of the Virasoro operators: particular harmonics of $${\hat{w}}$$ w ^ -operators.
A. Mironov   +3 more
doaj   +1 more source

Meta-Schrödinger invariance

open access: yesNuclear Physics B, 2022
The Meta-Schrödinger algebra arises as the dynamical symmetry in transport processes which are ballistic in a chosen ‘parallel’ direction and diffusive in all other ‘transverse’ directions.
Stoimen Stoimenov, Malte Henkel
doaj   +1 more source

Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT

open access: yesProceedings 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

open access: yesProceedings 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

Lie algebras: infinite generalizations and deformations [PDF]

open access: yes, 1990
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core  

Conformal super Virasoro algebra: matrix model and quantum deformed algebra

open access: yes, 2023
In this paper, we construct the super Virasoro algebra with an arbitrary conformal dimension $\Delta$ from the generalized $\mathcal{R}(p,q)$-deformed quantum algebra and investigate the $\mathcal{R}(p,q)$-deformed super Virasoro algebra with the ...
Melong, Fridolin
core  

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