Construction of string theory with noncritical strings and its applications

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In order to formulate a noncritical string theory from gauge theories, I developed analytic methods for three-dimensional large N gauge theories. I first identified a complete (not overcomplete) set of gauge-invariant local variables, and gave an algorithm to analytically calculate various physical quantities in the large N limit. I further proposed a framework where four-dimensional gauge theories are defined from three-dimensional quiver gauge theories through the so-called deconstruction. In parallel with this work, I also developed a relativistic nonequilibrium thermodynamics including gravity, in order to obtain deeper understandings of holographic natures of quantum gravity theories, which is supposed to be defined by a string theory.