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Publications (10 of 21) Show all publications
Bjornsson, J. & Hwang, S. (2010). Gauged non-compact WZNW models, revisited. Nuclear Physics B, 832(1-2), 52-88
Open this publication in new window or tab >>Gauged non-compact WZNW models, revisited
2010 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 832, no 1-2, p. 52-88Article in journal (Refereed) Published
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
Keywords
WZNW model, Non-compact backgrounds, No-ghost theorem, Hermitian symmetric spaces, CFT
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-40499 (URN)10.1016/j.nuclphysb.2010.01.024 (DOI)000276147200002 ()
Available from: 2016-02-22 Created: 2016-02-17 Last updated: 2017-12-06Bibliographically approved
Björnsson, J. & Hwang, S. (2009). On the unitarity of gauged non-compact world-sheet supersymmetric WZNW models. Nuclear Physics B, 812(3), 525-539
Open this publication in new window or tab >>On the unitarity of gauged non-compact world-sheet supersymmetric WZNW models
2009 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 812, no 3, p. 525-539Article in journal (Refereed) Published
Abstract [en]

In this paper we generalize our investigation of the unitarity of non-compact WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet supersymmetric extension of these models. We will prove that these models have a unitary spectrum in a BRST approach for antidominant highest weight representations if the level and weights of the gauged subalgebra are integers. We will find new critical string theories in 7 and 9 space–time dimensions.

National Category
Physical Sciences
Identifiers
urn:nbn:se:kau:diva-2037 (URN)10.1016/j.nuclphysb.2008.12.011 (DOI)
Available from: 2008-05-19 Created: 2008-05-19 Last updated: 2017-12-07Bibliographically approved
Björnsson, J. & Hwang, S. (2008). On small tension p-branes. Physics Letters B 662 (2008) 270-274
Open this publication in new window or tab >>On small tension p-branes
2008 (English)In: Physics Letters B 662 (2008) 270-274Article in journal (Refereed)
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-22060 (URN)
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21
Björnsson, J. & Hwang, S. (2008). On small tension p-branes. Physics Letters B, 662(3), 270-274
Open this publication in new window or tab >>On small tension p-branes
2008 (English)In: Physics Letters B, ISSN 0370-2693, E-ISSN 1873-2445, Vol. 662, no 3, p. 270-274Article in journal (Refereed) Published
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-2035 (URN)10.1016/j.physletb.2008.03.013 (DOI)
Available from: 2008-05-19 Created: 2008-05-19 Last updated: 2017-12-07Bibliographically approved
Björnsson, J. & Hwang, S. (2008). On the unitarity of gauged non-compact WZNW strings. Nuclear Physics B, 797(3), 464-498
Open this publication in new window or tab >>On the unitarity of gauged non-compact WZNW strings
2008 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 797, no 3, p. 464-498Article in journal (Refereed) Published
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-2036 (URN)10.1016/j.nuclphysb.2007.11.027 (DOI)
Available from: 2008-05-19 Created: 2008-05-19 Last updated: 2017-12-07Bibliographically approved
Björnsson, J. & Hwang, S. (2006). The BRST treatment of stretched membranes. Nuclear Physics B736 (2006) 156-167
Open this publication in new window or tab >>The BRST treatment of stretched membranes
2006 (English)In: Nuclear Physics B736 (2006) 156-167Article in journal (Refereed)
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-24304 (URN)
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2013-01-22
Björnsson, J. & Hwang, S. (2005). Stretched Quantum Membranes. Nuclear Physics B727 (2005) 77-98
Open this publication in new window or tab >>Stretched Quantum Membranes
2005 (English)In: Nuclear Physics B727 (2005) 77-98Article in journal (Refereed)
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-23840 (URN)
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2013-01-22
Hwang, S., Liu, Y. & Zhang, G. (2004). Hilbert spaces of tensor-valued holomorphic functions on the unit ball of C^n. Pacific J. of Math 214 (2004)
Open this publication in new window or tab >>Hilbert spaces of tensor-valued holomorphic functions on the unit ball of C^n
2004 (English)In: Pacific J. of Math 214 (2004)Article in journal (Refereed)
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-19991 (URN)
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21
Fuchs, J., Hwang, S., Semikhatov, A. & Tipunin, I. (2004). Non-semisimple fusion algebras and the Verlinde formula. Communications in Mathematical Physics 247 (2004) 713-742
Open this publication in new window or tab >>Non-semisimple fusion algebras and the Verlinde formula
2004 (English)In: Communications in Mathematical Physics 247 (2004) 713-742Article in journal (Refereed)
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-21827 (URN)
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21
Fuchs, J., Hwang, S., Semikhatov, A. & Tipunin, I. (2004). Nonsemisimple fusion algebras and the Verlinde formula. Communications in Mathematical Physics 247 (2004)
Open this publication in new window or tab >>Nonsemisimple fusion algebras and the Verlinde formula
2004 (English)In: Communications in Mathematical Physics 247 (2004)Article in journal (Refereed)
Abstract [en]

We find a nonsemisimple fusion algebra F_p associated with each (1,p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive F_p from modular transformations of characters.

National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-21835 (URN)
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2014-11-21
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0002-5202-4982

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