Results 51 to 60 of about 233,734 (178)

Canonical Commutation Relation Derived from Witt Algebra

Mathematics
From an arbitrary definition of operators inspired by oscillators of Virasoro, an algebra is derived. It fits the structure of Virasoro algebra with null central charge or Witt algebra. The resulting formalism has yielded commutators with a dependence on
Huber Nieto-Chaupis
doaj   +1 more source

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

Hopf algebra structure of continual Virasoro algebra deformations

, 2013
The Hopf algebra structure of a few parametric deformations of the continual Virasoro algebra is proven.peer ...
Zuevsky, A., Zuevsky, Alexander
core   +1 more source

Confluent conformal blocks of the second kind

Journal of High Energy Physics, 2020
We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to another. In the BPZ limit, we verify explicitly that the constructed blocks and
Jonatan Lenells, Julien Roussillon
doaj   +1 more source

BMS symmetry via AdS/CFT

Journal of High Energy Physics, 2021
With a view to understanding extended-BMS symmetries in the framework of the AdS 4 /CFT 3 correspondence, asymptotically AdS geometries are constructed with null impulsive shockwaves involving a discontinuity in superrotation parameters.
David A. Lowe, David M. Ramirez
doaj   +1 more source

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, Sergey Shadrin, Ishan Jaztar Singh   +2 more
wiley   +1 more source

Admissible representations and characters of the affine superalgebras osp(l,2) and ŝl(2|l) [PDF]

, 1998
In this thesis we compute characters and supercharacters of irreducible admissible representations for the two affine superalgebras osp(l,2;C) and l(2|l;C).The work on osp(l, 2; C) includes a derivation of the embedding diagram.
Hayes, Michael Robert
core  

New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions

Abstract and Applied Analysis, 2014
With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations.
Lizhen Wang, Qing Huang, Yanmei Di
doaj   +1 more source

On the existence of an L∞ structure for the super-Virasoro algebra

Journal of High Energy Physics, 2019
The appearance of L∞ structures for supersymmetric symmetry algebras in two-dimensional conformal field theories is investigated. Looking at the simplest concrete example of the N = 1 $$ \mathcal{N}=1 $$ super-Virasoro algebra in detail, we investigate ...
Ralph Blumenhagen, Max Brinkmann
doaj   +1 more source

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