On the study of unitary representations of the twisted Heisenberg-Virasoro algebra via highest weight modules over affine Lie algebras*
This research was supported by the Daegu University Research Grant, 2013.
- https://doi.org/10.1080/14029251.2014.975529How to use a DOI?
- Twisted Heisenberg-Virasoro algebra, Sugawara operators, affine Lie algebras, unitary representations
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 . Our approach to obtain these central charges is different with that of .
- © 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 -