2018/05/31 by Thomas Basile, Euihun Joung, Shailesh Lal +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Beta function (physics) #Black Holes and Theoretical Physics #Character (mathematics) #Field (mathematics) #Function (biology) #Representation (politics) #Riemann zeta function #Spacetime #Zeta function regularization #hep-th
paper · pdf · doi:10.1007/jhep10(2018)091
31 pages; v2: typos corrected; v3: discussion on the free energy difference induced by a change of boundary condition for a (partially) massless field in even dimensional AdS added
openalex created_date 2018/06/01 · arxiv created 2018/08/22 · openalex publication_date 2018/10/01 · arxiv updated 2018/10/18 · openalex updated_date 2026/08/05
A bstract 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 AdS 4 and AdS 5 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 AdS d +1 with d = 2 , 3 , 4 , 5 , 6.