TY - JOUR
T1 - Partition functions with spin in AdS2 via quasinormal mode methods
AU - Keeler, Cynthia Anne
AU - Lisbão, Pedro
AU - Ng, Gim Seng
PY - 2016/10/1
Y1 - 2016/10/1
N2 - 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.
AB - 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.
U2 - 10.1007/JHEP10(2016)060
DO - 10.1007/JHEP10(2016)060
M3 - Journal article
SN - 1126-6708
VL - 2016
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
M1 - 60
ER -