Zeta Function Expression of Spin Partition Functions on Thermal AdS 3

Floyd L.Williams
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Floyd L.Williams: Department of Mathematics, University of Massachusetts, Amherst, MA 01003, USA

Mathematics, 2015, vol. 3, issue 3, 1-13

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.

Keywords: thermal AdS; spin partition functions; Patterson–Selberg zeta function; fermionic particles; BTZ black hole (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
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