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On theories with light-like noncommutativity

Aharony, Ofer and Gomis, Jaume and Mehen, Thomas (2000) On theories with light-like noncommutativity. Journal of High Energy Physics, 2000 (9). Art. no. 023. ISSN 1126-6708. doi:10.1088/1126-6708/2000/09/023.

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We show that field theories with light-like noncommutativity, that is with θ0i = -θ1i, are unitary quantum theories, and that they can be obtained as decoupled field theory limits of string theory with D-branes in a background NS-NS B-field. For general noncommutativity parameters, we show that non-commutative field theories which are unitary can be obtained as decoupled field theory limits of string theory, while those that are not unitary cannot be obtained from string theory because massive open strings do not decouple. We study the different theories with light-like noncommutativity which arise from type-II D-branes. The decoupling limit of the D4-brane seems to lead to a non-commutative field theory deformation of the (2,0) SCFT of M5-branes, while the D5-brane case leads to a non-commutative variation of "little string theories". We discuss the DLCQ description of these theories.

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Additional Information:Received 8 August 2000, accepted for publication 18 September 2000, Published 30 October 2000 We would like to thank M. Berkooz and especially N. Seiberg for useful discussions. The work of O.A. was supported in part by DOE grant DE-FG02-96ER40559. The work of J.G. and T.M. is supported in part by the DOE under grant no. DE-FG03-92-ER 40701. O.A. would like to thank the USC/Caltech Center for Theoretical Physics and the Erwin Schr¨odinger Institute in Vienna for hospitality during the course of this work. J.G. would like to thank CERN for hospitality during part of this work. E-print number: hep-th/0006236
Subject Keywords:Brane Dynamics in Gauge Theories, M(atrix) Theories, Conformal Field Models in String Theory
Issue or Number:9
Record Number:CaltechAUTHORS:AHAjhep00
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1242
Deposited By: Archive Administrator
Deposited On:05 Jan 2006
Last Modified:08 Nov 2021 19:08

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