Generalized deformed correlation functions as spectral functions of hyperbolic geometry
Abstract
We analyze the role of vertex operator algebra and 2d amplitudes from the point of view of the representation theory of infinitedimensional Lie algebras, MacMahon and Ruelle functions. By definition pdimensional MacMahon function, with , is the generating function of pdimensional partitions of integers. These functions can be represented as amplitudes of a twodimensional c = 1 CFT, and, as such, they can be generalized to . With some abuse of language we call the latter amplitudes generalized MacMahon functions. In this paper we show that generalized pdimensional MacMahon functions can be rewritten in terms of Ruelle spectral functions, whose spectrum is encoded in the PattersonSelberg function of threedimensional hyperbolic geometry.
 Publication:

European Physical Journal C
 Pub Date:
 August 2014
 DOI:
 10.1140/epjc/s1005201429762
 arXiv:
 arXiv:1405.4717
 Bibcode:
 2014EPJC...74.2976B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 12 pages, no figures