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DLCQ of Mtheory as the lightlike limit
"... We investigate whether DLCQ of Mtheory can be defined as a limit of Mtheory compactified on an almost lightlike circle. This is of particular interest since the proofs of the matrix description of Mtheory by Seiberg and Sen rely on this assumption. By the standard relation between Mtheory on S ..."
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We investigate whether DLCQ of Mtheory can be defined as a limit of Mtheory compactified on an almost lightlike circle. This is of particular interest since the proofs of the matrix description of Mtheory by Seiberg and Sen rely on this assumption. By the standard relation between Mtheory on S 1 and IIA string theory, we translate this question into the corresponding one about the existence of the lightlike limit of IIA superstring theory for any string coupling gs. We argue that perturbative string loop amplitudes should have a finite and welldefined lightlike limit provided the external momenta are chosen to correspond to a welldefined DLCQ setup. On the nonperturbative side we consider states and amplitudes. We show that an appropriate class of nonperturbative states (wrapped Dbranes) precisely have the right lightlike limit. We give some indications that nonperturbative corrections to string amplitudes, too, may behave as required in the lightlike limit. Having perturbative and nonperturbative evidence, this suggests that type IIA superstring theory as a whole has a welldefined lightlike limit (for any string coupling gs) and hence that the same is true for Mtheory.
The Entropy of the Rotating Charged Black Threebrane from a BraneAntibrane System
, 2004
"... We show that a model based on a D3brane–antiD3brane system at finite temperature, proposed previously as a microscopic description of the nonrotating black threebrane of type IIB supergravity arbitrarily far from extremality, can also successfully reproduce the entropy of the rotating threebrane ..."
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We show that a model based on a D3brane–antiD3brane system at finite temperature, proposed previously as a microscopic description of the nonrotating black threebrane of type IIB supergravity arbitrarily far from extremality, can also successfully reproduce the entropy of the rotating threebrane with arbitrary charge (including the neutral case, which corresponds to the Kerr black hole in seven dimensions). Our results appear to confirm in particular the need for a peculiar condition on the energy of the two gases involved in the model, whose physical interpretation remains to be elucidated. 1