Results 61 to 70 of about 317 (185)

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

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

$U\left(\mathfrak{h}\right)$-Free Modules over the Lie Algebras of Differential Operators

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, Shoulan Gao, Dong Liu, Limeng Xia   +3 more
doaj   +1 more source

The Virasoro algebra

Communications in Mathematical Physics, 1982
Three theroems are proved. With suitable hypotheses in each case, characterizations are found for the Virasoro algebra, for some of its representations, and for the Ramond-Neveu-Schwarz superalgebra built around the Virasoro algebra.
openaire   +2 more sources

Tensor categories of weight modules of sl̂2$\widehat{\mathfrak {sl}}_2$ at admissible level

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract The category of weight modules Lk(sl2)-wtmod$L_{k}(\mathfrak {sl}_2)\operatorname{-wtmod}$ of the simple affine vertex algebra of sl2$\mathfrak {sl}_2$ at an admissible level k$k$ is neither finite nor semisimple and modules are usually not lower‐bounded and have infinite‐dimensional conformal weight subspaces.
Thomas Creutzig
wiley   +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

Theq-Virasoro-like Algebra

Journal of Algebra, 1997
The author determines finite dimensional quotients of the \(q\)-Virasoro-like algebra when \(q\) is a root of unity, and classifies finite dimensional irreducible modules over the \(q\)-Virasoro-like algebra for any root \(q\) of unity.
openaire   +1 more source

Open String Renormalization Group Flow as a Field Theory

Fortschritte der Physik, Volume 72, Issue 11, November 2024.
Abstract This article shows that the integral flow‐lines of the RG‐flow of open string theory can be interpreted as the solitons of a Hořova–Lifshitz sigma‐model of open membranes. The authors argue that the effective background description of this model implies the g‐theorem of open string theory.
Julius Hristov
wiley   +1 more source

Representations of the Schrödinger–Virasoro algebras [PDF]

Journal of Mathematical Physics, 2008
In this paper, it is proved that an irreducible weight module with finite-dimensional weight spaces over the Schrödinger–Virasoro algebras is a highest∕lowest weight module or a uniformly bounded module. Furthermore, indecomposable modules of the intermediate series over these algebras are completely determined.
Li, Junbo, Su, Yucai
openaire   +3 more sources

Permutation orbifolds of Virasoro vertex algebras and W-algebras

Journal of Algebra, 2021
We study permutation orbifolds of the $2$-fold and $3$-fold tensor product for the Virasoro vertex algebra $\mathcal{V}_c$ of central charge $c$. In particular, we show that for all but finitely many central charges $\left(\mathcal{V}_c^{\otimes 3}\right)^{\mathbb{Z}_3}$ is a $W$-algebra of type $(2, 4, 5, 6^3 , 7, 8^3 , 9^3 , 10^2 )$.
Antun Milas, Michael Penn, Christopher Sadowski   +2 more
openaire   +3 more sources