From Large N Double Scaling Limits to Non-Critical Superstrings

          @misc{ scivideos_PIRSA:08020033,
            doi = {10.48660/08020033},
            url = {https://pirsa.org/08020033},
            author = {Bertoldi, Gaetano},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {From Large N Double Scaling Limits to Non-Critical Superstrings},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2008},
            month = {feb},
            note = {PIRSA:08020033 see, \url{https://scivideos.org/pirsa/08020033}}
          }
          

Abstract

We consider the large N limit of a class of fourdimensional supersymmetric theories in conjunction with a limit in their parameter space towards singular points where extra baryonic states become light, which causes the low-energy description to break down. However, this can be cured by defining a large N double scaling limit where one approaches the singularity by keeping the mass M of these states fixed. This limit has several interesting features. For example, the conventional \\\'t Hooft limit leads to a free theory of colour singlet states where all interactions are suppressed by powers of 1/N. In this case, the large N Hilbert space splits into two decoupled sectors, and one of them keeps residual interactions whose strength in inversely proportional to the mass M. We argue that for a class of these models the dynamics of this sector is dual to a non-critical superstring background, which is exactly solvable.