EXACT ABJM PARTITION FUNCTION FROM TBA

A Note on the Partition Function of ABJM Theory on S 3 231

Random trees between two walls: Exact partition function

We derive the exact partition function for a discrete model of random trees embedded in a one-dimensional space. These trees have vertices labeled by integers representing their position in the target space, with the SOS constraint that adjacent vertices have labels differing by ±1. A non-trivial partition function is obtained whenever the target space is bounded by walls. We concentrate on the...

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Partition Identities Arising from Theta Function Identities

The authors show that certain theta function identities of Schröter and Ramanujan imply elegant partition identities.