Recent Progress in String Theory and Gravity/Gauge Theory Duality

Mathematics – Logic

Scientific paper

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Scientific paper

In this talk, I will describe several recent developments in string theory. First, I'll discuss efforts to address the recent observations that the expansion of our universe is accelerating. Using some standard elements of the string theory toolbox (branes, fluxes, and extra dimensions) there has been good progress in constructing string theory models of universes with positive cosmological constant, though these models suggest that this may only be a temporary state of affairs. String theory also provides good reason to study universes with a negative cosmological constant: according to the well-known AdS/CFT conjecture, some of these are equivalent to non-gravitational gauge theories, and this equivalence promises to bring a better understanding both of quantum gravity and of strongly-coupled gauge theories. I will describe an important recent development in this area that permits detailed perturbative calculations on both sides, providing some of the most impressive tests of the correspondence so far.

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