Integrable hierarchies, Hurwitz numbers and a branch point field in critical topologically massive gravity
Integrable hierarchies, Hurwitz numbers and a branch point field in critical topologically massive gravity
We discuss integrable aspects of the logarithmic contribution of the partition function of cosmological critical topologically massive gravity. On one hand, written in terms of Bell polynomials which describe the statistics of set partitions, the partition function of the logarithmic fields is a generating function of the potential Burgers hierarchy. …