Generalized Witt, Witt n-algebras, Virasoro algebras and KdV equations induced from ℛ(p,q)-deformed quantum algebras-Reference-Cited by-同舟云学术

Generalized Witt, Witt n-algebras, Virasoro algebras and KdV equations induced from ℛ(p,q)-deformed quantum algebras

Published:2020-12-30 Issue:04 Volume:33 Page:2150011
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

Hounkonnou Mahouton Norbert¹^ORCID,Melong Fridolin¹,Mitrović Melanija²

Affiliation:

1. International Chair in Mathematical Physics and Applications, (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072 B.P. 50 Cotonou, Republic of Benin

2. Faculty of Mechanical Engineering, University of Niš, Serbia

Abstract

We perform generalizations of Witt and Virasoro algebras, and derive the corresponding Korteweg–de Vries equations from known [Formula: see text]-deformed quantum algebras previously introduced in J. Math. Phys. 51 (2010) 063518. Related relevant properties are investigated and discussed. Besides, we construct the [Formula: see text]-deformed Witt [Formula: see text]-algebra, and determine the Virasoro constraints for a toy model, which play an important role in the study of matrix models. Finally, as a matter of illustration, explicit results are provided for the main particular deformed quantum algebras known in the literature.

Funder

The Academy of Sciences for the Developing World

Faculty of Mechanical Engineering, University of Nis, Serbia

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X21500112

Reference33 articles.

1. q-deformation of the Virasoro algebra with central extension

2. Hilbert spaces of analytic functions and generalized coherent states

3. q-deformation of SU(1,1) conformal ward identities and q-strings

4. Infinite conformal symmetry in two-dimensional quantum field theory

5. The quantum group SUq(2) and a q-analogue of the boson operators

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