Journal of Nonlinear Mathematical Physics

Volume 21, Issue 4, October 2014, Pages 584 - 592

On the study of unitary representations of the twisted Heisenberg-Virasoro algebra via highest weight modules over affine Lie algebras*

Authors
Namhee Kwon
Department of Mathematics, Daegu University, Jillyang, Gyeongsan, Gyeongbuk, 712-714, Republic of Korea, nkwon@daegu.ac.kr
*

This research was supported by the Daegu University Research Grant, 2013.

Received 10 June 2014, Accepted 18 August 2014, Available Online 6 January 2021.
DOI
https://doi.org/10.1080/14029251.2014.975529How to use a DOI?
Keywords
Twisted Heisenberg-Virasoro algebra, Sugawara operators, affine Lie algebras, unitary representations
Abstract

In this paper, we first construct an analogue of the Sugawara operators for the twisted Heisenberg-Virasoro algebra. By using these operators, we show that every integrable highest weight module over an affine Lie algebra can be viewed as a unitary representation of the twisted Heisenberg-Virasoro algebra. As a by-product of our constructions, we give the unitary representations of the twisted Heisenberg-Virasoro algebra which have the central charges appearing in [1]. Our approach to obtain these central charges is different with that of [1].

Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
21 - 4
Pages
584 - 592
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2014.975529How to use a DOI?
Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Namhee Kwon
PY  - 2021
DA  - 2021/01
TI  - On the study of unitary representations of the twisted Heisenberg-Virasoro algebra via highest weight modules over affine Lie algebras*
JO  - Journal of Nonlinear Mathematical Physics
SP  - 584
EP  - 592
VL  - 21
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2014.975529
DO  - https://doi.org/10.1080/14029251.2014.975529
ID  - Kwon2021
ER  -