Change search
ReferencesLink to record
Permanent link

Direct link
Gauged non-compact WZNW models, revisited
Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England..
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics. Karlstad Univ, Dept Phys, SE-65188 Karlstad, Sweden..ORCID iD: 0000-0002-5202-4982
2010 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 832, no 1-2, 52-88 p.Article in journal (Refereed) PublishedText
Abstract [en]

The purpose of the present paper is to investigate the necessary conditions for unitarity of the spectrum of non-compact gauged WZNW models to some depth. In particular, we would like to investigate the necessity of integer weights and level. We will learn that the problem is very complex and we have not found any simple and general way to formulate the necessary conditions. Instead one must resort to studying the problem almost case by case. The only nearly complete conditions that we will find, is for the case g = su(n, 1). Furthermore, the horizontal part of the case g = su(p, g) is nearly completed as well. In other cases, we will find conditions associated with certain subalgebras and nodes in the Dynkin diagram close to the one corresponding to the non-compact root. In these examples we can give conditions for the horizontal part of the algebra. As a by-product of our investigation we will prove some nice formulae of character identities and explicit branching functions for these representations. (C) 2010 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
Elsevier, 2010. Vol. 832, no 1-2, 52-88 p.
Keyword [en]
WZNW model, Non-compact backgrounds, No-ghost theorem, Hermitian symmetric spaces, CFT
National Category
Physical Sciences
Research subject
URN: urn:nbn:se:kau:diva-40499DOI: 10.1016/j.nuclphysb.2010.01.024ISI: 000276147200002OAI: diva2:905334
Available from: 2016-02-22 Created: 2016-02-17 Last updated: 2016-05-17Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Hwang, Stephen
By organisation
Department of Engineering and Physics
In the same journal
Nuclear Physics B
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 58 hits
ReferencesLink to record
Permanent link

Direct link