Row–column duality and combinatorial topological strings
Adrian Padellaro,
Rajath Radhakrishnan,
Sanjaye Ramgoolam
Abstract:Integrality properties of partial sums over irreducible representations, along columns of character tables of finite groups, were recently derived using combinatorial topological string theories (CTST). These CTST were based on Dijkgraaf-Witten theories of flat G-bundles for finite groups G in two dimensions, denoted G-TQFTs. We define analogous combinatorial topological strings related to two dimensional TQFTs based on fusion coefficients of finite groups. These TQFTs are denoted as R(G)-TQFTs and allow … Show more
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