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- Title
Generalized $$q$$ -deformed correlation functions as spectral functions of hyperbolic geometry.
- Authors
Bonora, L.; Bytsenko, A.; Guimarães, M.
- Abstract
We analyze 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. By definition p-dimensional MacMahon function, with $$p\le 3$$ , is the generating function of p-dimensional partitions of integers. These functions can be represented as amplitudes of a two-dimensional c = 1 CFT, and, as such, they can be generalized to $$p>3$$ . With some abuse of language we call the latter amplitudes generalized MacMahon functions. In this paper we show that generalized 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.
- Subjects
VERTEX operator algebras; STATISTICAL correlation; HYPERBOLIC geometry; AMPLITUDE estimation; LIE algebras; RUELLE operators; SPECTRAL theory
- Publication
European Physical Journal C -- Particles & Fields, 2014, Vol 74, Issue 8, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-014-2976-2