Riemann surfaces for KPZ with periodic boundaries

Riemann surfaces for KPZ with periodic boundaries

Blog Article

The Riemann surface for polylogarithms of half-integer index, which has the topology of an infinite dimensional hypercube, is studied in pitchy delight onee stick relation to one-dimensional KPZ universality in finite volume.Known exact results for fluctuations of the KPZ height with periodic boundaries are expressed 14-dq5145cl in terms of meromorphic functions on this Riemann surface, summed over all the sheets of a covering map to an infinite cylinder.Connections to stationary large deviations, particle-hole excitations and KdV solitons are discussed.