We extend the results of , computing one loop partition functions for massive fields with spin half in AdS2 using the quasinormal mode method proposed by Denef, Hartnoll, and Sachdev . 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.
- 2D Gravity
- AdS-CFT Correspondence
- Space-Time Symmetries
ASJC Scopus subject areas
- Nuclear and High Energy Physics