Generalized q-deformed Correlation Functions as Spectral Functions of Hyperbolic Geometry
High Energy Physics - Theory
2015-06-19 v1
Abstract
We analyse the role of vertex operator algebra and 2d amplitudes from the point of view of the representation theory of infinite dimensional Lie algebras, MacMahon and Ruelle functions. A p-dimensional MacMahon function is the generating function of p-dimensional partitions of integers. These functions can be represented as amplitudes of a two-dimensional c=1 CFT. In this paper we show that p-dimensional MacMahon functions can be rewritten in terms of Ruelle spectral functions, whose spectrum is encoded in the Patterson-Selberg function of three dimensional hyperbolic geometry.
Cite
@article{arxiv.1405.4717,
title = {Generalized q-deformed Correlation Functions as Spectral Functions of Hyperbolic Geometry},
author = {L. Bonora and A. A. Bytsenko and M. E. X. Guimarães},
journal= {arXiv preprint arXiv:1405.4717},
year = {2015}
}
Comments
12 pages, no figures