Integrality, duality and finiteness in combinatoric topological strings

  title={Integrality, duality and finiteness in combinatoric topological strings},
  author={Robert De Mello Koch and Yang-Hui He and Garreth James Kemp and Sanjaye Ramgoolam},
  journal={Journal of High Energy Physics},
Abstract A remarkable result at the intersection of number theory and group theory states that the order of a finite group G (denoted |G|) is divisible by the dimension dR of any irreducible complex representation of G. We show that the integer ratios $$ {\left|G\right|}^2/{d}_R^2 $$ G 2 / d R 2 are combinatorially constructible using finite algorithms which take as input the amplitudes of combinatoric topological strings (G-CTST) of finite groups based on 2D Dijkgraaf… 

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