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Phys."],"published-print":{"date-parts":[[2018,10]]},"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n          <\/jats:title>\n          <jats:p>The zeta function of an arbitrary field in (<jats:italic>d<\/jats:italic> + 1)-dimensional anti-de Sitter (AdS) spacetime is expressed as an integral transform of the corresponding <jats:italic>so<\/jats:italic>(2<jats:italic>, d<\/jats:italic>) representation character, thereby extending the results of [<jats:ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"https:\/\/arxiv.org\/abs\/1603.05387\" ext-link-type=\"uri\">arXiv:1603.05387<\/jats:ext-link>] for AdS<jats:sub>4<\/jats:sub> and AdS<jats:sub>5<\/jats:sub> to arbitrary dimensions. The integration in the variables associated with the <jats:italic>so<\/jats:italic>(<jats:italic>d<\/jats:italic>) part of the character can be recast into a more explicit form using derivatives. The explicit derivative expressions are presented for AdS<jats:sub>\n              <jats:italic>d<\/jats:italic>+1<\/jats:sub> with <jats:italic>d<\/jats:italic> = 2<jats:italic>,<\/jats:italic> 3<jats:italic>,<\/jats:italic> 4<jats:italic>,<\/jats:italic> 5<jats:italic>,<\/jats:italic> 6.<\/jats:p>","DOI":"10.1007\/jhep10(2018)091","type":"journal-article","created":{"date-parts":[[2018,10,16]],"date-time":"2018-10-16T12:13:36Z","timestamp":1539692016000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Character integral representation of zeta function in AdSd+1. Part I. 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