ar X iv : 1 21 0 . 36 01 v 3 [ he p - th ] 2 9 A pr 2 01 3 From the planar limit to M - theory
نویسنده
چکیده
The large-N limit of gauge theories has been playing a crucial role in theoretical physics over the decades. Despite its importance, little is known outside the planar limit where the ’t Hooft coupling λ = g Y MN is fixed. In this Letter we consider more general large-N limit — λ grows with N , e.g., g YM is fixed. Such a limit is important particularly in recent attempts to find the nonpertubative formulation of M-theory. Based on various supporting evidence, we propose this limit is essentially identical to the planar limit, in the sense the order of the large-N limit and the strong coupling limit commute. For a wide class of large-N gauge theories, these two limits are smoothly connected, and the analytic continuation from the planar limit is justified. As simple examples, we reproduce a few properties of the six-dimensional N = (2, 0) theory on S from the five-dimensional maximal super Yang-Mills theory, supporting the recent conjecture by Douglas and Lambert et al. that these two theories are identical.
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تاریخ انتشار 2013