Partition functions with spin in AdS2 via quasinormal mode methods

Journal Article · Wed Oct 12 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2016)060· OSTI ID:1425874

Keeler, Cynthia ^[1]; Lisbão, Pedro ^[2]; Ng, Gim Seng ^[3]

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1. Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
2. Univ. of Michigan, Ann Arbor, MI (United States)
3. McGill Univ., Montreal, QC (Canada)

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 |hi 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 AdS_2n and higher spins.

• Research Organization: Univ. of Michigan, Ann Arbor, MI (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0007859
• OSTI ID: 1425874
• Journal Information: Journal of High Energy Physics (Online), Vol. 2016, Issue 10; ISSN 1029-8479
• Publisher: Springer Berlin
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS