Zeta Function Expression of Spin Partition Functions on Thermal AdS3

Mathematics

关键词: thermal AdS;    spin partition functions;    Patterson–Selberg zeta function;    fermionic particles;    BTZ black hole;   

DOI  :  10.3390/math3030653

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.