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Starting from the Janus solution and its gauge theory dual, we obtain thedual gauge theory description of the cosmological solution by procedure of thedouble anaytic continuation. The coupling is driven either to zero or toinfinity at the big-bang and big-crunch singularities, which are shown to berelated by the S-duality symmetry. In the dual Yang-Mills theory description,these are non singular at all as the coupling goes to zero in the N=4 SuperYang-Mills theory. The cosmological singularities simply signal the failure ofthe supergravity description of the full type IIB superstring theory.Comment: 18 pages, 5 figures, references added, minor corrections, further  minor corrections, v4: some clarification and more details adde

Dual of big bang and big crunch