On theories with light-like noncommutativity

By O. Aharony, Joaquim Gomis, Thomas Mehen. 2000

145 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/70e6a3b22235ff36f1f931c377639f906ec67332

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Citations in the corpus

Holography for Schrödinger backgrounds (2010, background): “This question has not been explored in previous literature, although it has been argued that analogous theories with light-like noncommutativity are well-defined, despite the non-locality in one null direction [34].”
Quantum-Spacetime Phenomenology (2008, background): “The unit vector ?̂?θ describes a preferential direction [19] determined by the matrix θμν , while the dimensionless parameter χθ also allows for an expected [397] dependence of the magnitude of the effect on the specific particle under study: since the IR feature is found in the renormalization proc”
On the unitarity problem in space/time noncommutative theories (2002, background): “This situation has been termed lightlike noncommutativity in [7].”
Nonrelativistic closed string theory (2000, background): “Since massive states cannot be neglected, the field theory truncation is not unitary [5,6,7].”
IIA/B, wound and wrapped (2000, background): “See [7] for a discussion of theories with lightlike non-commutativity.”
Dipoles, Twists and Noncommutative Gauge Theory (2000, background): “Theories with lightlike noncommutativity were studied in [30, 40].”