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No-ghost theorem for the bosonic Nappi-Witten string
Department of Physics, Nanjing University, Nanjing, China.
Department of Physics, Nanjing University, Nanjing, China.
Department of Physics, Nanjing University, Nanjing, China.
Faculty of Technology and Science, Karlstad University, Karlstad, Sweden.ORCID iD: 0000-0003-0372-5093
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2009 (English)In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 80, no 8, article id 086003Article in journal (Refereed) Published
Abstract [en]

We prove a no-ghost theorem for a bosonic string propagating in Nappi-Witten spacetime. This is achieved in two steps. We first demonstrate unitarity for a class of NW/U(1) modules: the norm of any state which is primary with respect to a chosen timelike U(1) is non-negative. We then show that physical states - states satisfying the Virasoro constraints - in a class of modules of an affinisation of the Nappi-Witten algebra are contained in the NW/U(1) modules. Similar to the case of strings on AdS3, in order to saturate the spectrum obtained in light-cone quantization we are led to include modules with energy not bounded from below, which are related to modules with energy bounded from below by spectral flow automorphisms.

Place, publisher, year, edition, pages
American Physical Society, 2009. Vol. 80, no 8, article id 086003
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:oru:diva-57705DOI: 10.1103/PhysRevD.80.086003ISI: 000271353700126Scopus ID: 2-s2.0-70449728413OAI: oai:DiVA.org:oru-57705DiVA, id: diva2:1096428
Funder
Swedish Research Council, 348-2008-6049
Note

Funding Agencies:

NSFC  10535010  10775068 

973 National Major State Basic Research and Development of China  2007CB815004 

National Science Foundation of China  0204131361 

Nanjing University  

Chinese Government  020422420100 

Available from: 2014-11-25 Created: 2017-05-17 Last updated: 2017-10-18Bibliographically approved

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Fjelstad, Jens

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CiteExportLink to record
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