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arXiv · hep-th/0008119

Lorentz Transformation and Light-Like Noncommutative SYM

Rong-Gen Cai·Nobuyoshi Ohta
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Abstract

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.

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Rong-Gen Cai, Nobuyoshi Ohta. 2000-10-27. Lorentz Transformation and Light-Like Noncommutative SYM. https://doi.org/10.1088/1126-6708%2F2000%2F10%2F036

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