Comments on SU(1,1) string theory

P. M.S. Petropoulos

doi:10.1016/0370-2693(90)90819-R

Comments on SU(1,1) string theory

P. M.S. Petropoulos

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99 Citations (Scopus)

Résumé

We analyse unitarity for a string theory based on an SU(1,1) Wess-Zumino-Witten model and d free bosons. We show that given an extra condition between the spin and the Kač-Moody anomaly analogous to the compact SU(2) one, positivity is guaranteed for physical states up to level two. Moreover extra zero-norm states appear at some critical value of d, corresponding to the anomaly cancellation. We discuss the construction of a modular invariant partition function.

langue originale	Anglais
Pages (de - à)	151-158
Nombre de pages	8
journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	236
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/0370-2693(90)90819-R
état	Publié - 15 févr. 1990

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10.1016/0370-2693(90)90819-R

Contient cette citation

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title = "Comments on SU(1,1) string theory",

abstract = "We analyse unitarity for a string theory based on an SU(1,1) Wess-Zumino-Witten model and d free bosons. We show that given an extra condition between the spin and the Ka{\v c}-Moody anomaly analogous to the compact SU(2) one, positivity is guaranteed for physical states up to level two. Moreover extra zero-norm states appear at some critical value of d, corresponding to the anomaly cancellation. We discuss the construction of a modular invariant partition function.",

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AB - We analyse unitarity for a string theory based on an SU(1,1) Wess-Zumino-Witten model and d free bosons. We show that given an extra condition between the spin and the Kač-Moody anomaly analogous to the compact SU(2) one, positivity is guaranteed for physical states up to level two. Moreover extra zero-norm states appear at some critical value of d, corresponding to the anomaly cancellation. We discuss the construction of a modular invariant partition function.

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DO - 10.1016/0370-2693(90)90819-R

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Comments on SU(1,1) string theory

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