On theories with lightlike noncommutativity - INSPIRE

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On theories with lightlike noncommutativity

Jun, 2000

15 pages

Published in:

JHEP 09 (2000) 023

e-Print:

hep-th/0006236 [hep-th]

DOI:

10.1088/1126-6708/2000/09/023

Report number:

RUNHETC-2000-28,
CALT-68-2285,
CITUSC-00-038

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Abstract:

We show that field theories with light-like noncommutativity, that is with

\theta^{0i}=-\theta^{1i}

, 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 noncommutative 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 noncommutative field theory deformation of the

(2,0)

SCFT of M5-branes, while the D5-brane case leads to a noncommutative variation of ``little string theories''. We discuss the DLCQ description of these theories.

string: open
membrane model: D-brane
membrane model: p-brane
effective action
Born-Infeld model
unitarity: constraint
differential geometry: noncommutative

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