Simplicial and modular aspects of string dualities

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This Ph.D. thesis collects results obtained investigating two different aspects of modern unifying theories. In the first part I summarized results achieved investigating simplicial aspects of string dualities. Exploiting Boundary Conformal Field Theory techniques, I investigated the coupling between random Regge triangulations and open string theory, discussing its implications in gauge/gravity correspondence. The second part reports results obtained in the paper hep-th/0309237, devoted to look for cosmological backgrounds of superstring theories.
199 pages, Ph.D. Thesis (Advisor: Mauro Carfora)

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