Partition functions with spin in AdS2 via quasinormal mode methods

Cynthia Keeler, Pedro Lisbão, Gim Seng Ng

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We extend the results of [1], computing one loop partition functions for massive fields with spin half in AdS2 using the quasinormal mode method proposed by Denef, Hartnoll, and Sachdev [2]. We find the finite representations of SO(2, 1) for spin zero and spin half, consisting of a highest weight state |h〉 and descendants with non-unitary values of h. These finite representations capture the poles and zeroes of the one loop determinants. Together with the asymptotic behavior of the partition functions (which can be easily computed using a large mass heat kernel expansion), these are sufficient to determine the full answer for the one loop determinants. We also discuss extensions to higher dimensional AdS2n and higher spins.

Original languageEnglish (US)
Article number60
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 1 2016
Externally publishedYes


  • 2D Gravity
  • AdS-CFT Correspondence
  • Space-Time Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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