2000/08/31 by Rong-Gen Cai, Nobuyoshi Ohta · 19 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Decoupling (probability) #Lorentz covariance #Lorentz transformation #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Quantum differential calculus #Supergravity #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/10/036
published in Journal of High Energy Physics 2000(10), 036 (Springer Nature) · Latex, 16 pages, no figures, typos corrected
openalex publication_date 2000/10/23 · arxiv created 2000/10/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that combining the spatial noncommutative SYM limit and Lorentz transformation, one can obtain a well-behaved light-like noncommutative SYM limit. The light-like noncommutative SYM is unitary. When the boost velocity is finite, the resulting theory with space-time noncommutativity is unitary as well. The light-like noncommutative SYM limit can also be approached by combining the noncommutative open string theory limit and Lorentz transformation. Along this line, we obtain the supergravity dual for the light-like noncommutative SYM, which is the same as the one acquired using a different method. As a comparison, the supergravity duals for the ordinary SYM, spatial noncommutative SYM and the noncommutative open string theories are given as well, in an infinitely-boosted frame with finite momentum density, which are the decoupling limits of bound states (Dp, W), (D(p-2), W, Dp), and (F1, W, Dp), respectively.