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Mathematics 2015, 3(3), 653-665; doi:10.3390/math3030653

Zeta Function Expression of Spin Partition Functions on Thermal AdS3

Department of Mathematics, University of Massachusetts, Amherst, MA 01003, USA
Received: 12 May 2015 / Accepted: 16 July 2015 / Published: 28 July 2015
(This article belongs to the Special Issue Mathematical physics)
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Abstract

We find a Selberg zeta function expression of certain one-loop spin partition functions on three-dimensional thermal anti-de Sitter space. Of particular interest is the partition function of higher spin fermionic particles. We also set up, in the presence of spin, a Patterson-type formula involving the logarithmic derivative of zeta. View Full-Text
Keywords: thermal AdS; spin partition functions; Patterson–Selberg zeta function; fermionic particles; BTZ black hole thermal AdS; spin partition functions; Patterson–Selberg zeta function; fermionic particles; BTZ black hole
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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L.Williams, F. Zeta Function Expression of Spin Partition Functions on Thermal AdS3. Mathematics 2015, 3, 653-665.

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