TY - JOUR

T1 - Lorentz transformation and light-like noncommutative SYM

AU - Cai, Rong Gen

AU - Ohta, Nobuyoshi

PY - 2000

Y1 - 2000

N2 - 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 te 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.

AB - 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 te 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.

KW - AdS-CFT Correspondance

KW - D-branes

UR - http://www.scopus.com/inward/record.url?scp=7044274569&partnerID=8YFLogxK

M3 - 期刊論文

AN - SCOPUS:7044274569

SN - 1029-8479

VL - 4

SP - 1

EP - 15

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10 PART B

ER -