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- Title
Character integral representation of zeta function in AdS<sub>d+1</sub>. Part I. Derivation of the general formula.
- Authors
Basile, Thomas; Joung, Euihun; Lal, Shailesh; Li, Wenliang
- Abstract
The zeta function of an arbitrary field in (d + 1)-dimensional anti-de Sitter (AdS) spacetime is expressed as an integral transform of the corresponding so(2, d) representation character, thereby extending the results of [arXiv:1603.05387] for AdS4 and AdS5 to arbitrary dimensions. The integration in the variables associated with the so(d) part of the character can be recast into a more explicit form using derivatives. The explicit derivative expressions are presented for AdSd+1 with d = 2, 3, 4, 5, 6.
- Subjects
ZETA functions; INTEGRAL representations; SPACETIME; INTEGRAL transforms; CONFORMAL field theory
- Publication
Journal of High Energy Physics, 2018, Vol 2018, Issue 10, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP10(2018)091