Partition functions with spin in AdS2 via quasinormal mode methods
Abstract
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 AdS2n and higher spins.
- Authors:
-
- Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
- Univ. of Michigan, Ann Arbor, MI (United States)
- McGill Univ., Montreal, QC (Canada)
- Publication Date:
- Research Org.:
- Univ. of Michigan, Ann Arbor, MI (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1425874
- Grant/Contract Number:
- SC0007859
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Keeler, Cynthia, Lisbão, Pedro, and Ng, Gim Seng. Partition functions with spin in AdS2 via quasinormal mode methods. United States: N. p., 2016.
Web. doi:10.1007/JHEP10(2016)060.
Keeler, Cynthia, Lisbão, Pedro, & Ng, Gim Seng. Partition functions with spin in AdS2 via quasinormal mode methods. United States. https://doi.org/10.1007/JHEP10(2016)060
Keeler, Cynthia, Lisbão, Pedro, and Ng, Gim Seng. Wed .
"Partition functions with spin in AdS2 via quasinormal mode methods". United States. https://doi.org/10.1007/JHEP10(2016)060. https://www.osti.gov/servlets/purl/1425874.
@article{osti_1425874,
title = {Partition functions with spin in AdS2 via quasinormal mode methods},
author = {Keeler, Cynthia and Lisbão, Pedro and Ng, Gim Seng},
abstractNote = {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 AdS2n and higher spins.},
doi = {10.1007/JHEP10(2016)060},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {Wed Oct 12 00:00:00 EDT 2016},
month = {Wed Oct 12 00:00:00 EDT 2016}
}
Web of Science
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Works referencing / citing this record:
Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds
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