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 AdS_{2} 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 nonunitary 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.
 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 10298479
 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. doi: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. doi: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 nonunitary 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 = {2016},
month = {10}
}
Web of Science
Works referenced in this record:
Partition functions in even dimensional AdS via quasinormal mode methods
journal, June 2014
 Keeler, Cynthia; Ng, Gim Seng
 Journal of High Energy Physics, Vol. 2014, Issue 6
Recursion relations for conformal blocks
journal, September 2016
 Penedones, João; Trevisani, Emilio; Yamazaki, Masahito
 Journal of High Energy Physics, Vol. 2016, Issue 9
QUANTUM ENTROPY FUNCTION FROM AdS _{2} / CFT _{1} CORRESPONDENCE
journal, September 2009
 Sen, Ashoke
 International Journal of Modern Physics A, Vol. 24, Issue 23
Divergences and boundary modes in N = 8 $$ \mathcal{N}=8 $$ supergravity
journal, January 2016
 Larsen, Finn; Lisbão, Pedro
 Journal of High Energy Physics, Vol. 2016, Issue 1
Logarithmic corrections to extremal black hole entropy from quantum entropy function
journal, March 2011
 Banerjee, Shamik; Gupta, Rajesh K.; Sen, Ashoke
 Journal of High Energy Physics, Vol. 2011, Issue 3
Heat kernel expansion: user's manual
journal, December 2003
 Vassilevich, D. V.
 Physics Reports, Vol. 388, Issue 56
Realtime response in AdS/CFT with application to spinors
journal, April 2009
 Iqbal, N.; Liu, H.
 Fortschritte der Physik, Vol. 57, Issue 57
Bootstrapping the O(N ) vector models
journal, June 2014
 Kos, Filip; Poland, David; SimmonsDuffin, David
 Journal of High Energy Physics, Vol. 2014, Issue 6
One loop tests of higher spin AdS/CFT
journal, December 2013
 Giombi, Simone; Klebanov, Igor R.
 Journal of High Energy Physics, Vol. 2013, Issue 12
The heat kernel on AdS 3 and its applications
journal, April 2010
 David, Justin R.; Gaberdiel, Matthias R.; Gopakumar, Rajesh
 Journal of High Energy Physics, Vol. 2010, Issue 4
Oneloop partition functions of 3D gravity
journal, August 2008
 Giombi, Simone; Maloney, Alexander; Yin, Xi
 Journal of High Energy Physics, Vol. 2008, Issue 08
Black hole determinants and quasinormal modes
journal, April 2010
 Denef, Frederik; Hartnoll, Sean A.; Sachdev, Subir
 Classical and Quantum Gravity, Vol. 27, Issue 12
A universal result on central charges in the presence of doubletrace deformations
journal, April 2003
 Gubser, Steven S.; Klebanov, Igor R.
 Nuclear Physics B, Vol. 656, Issue 12
Doubletrace deformations, mixed boundary conditions and functional determinants in AdS/CFT
journal, January 2008
 Hartman, Thomas; Rastelli, Leonardo
 Journal of High Energy Physics, Vol. 2008, Issue 01
Partition functions and doubletrace deformations in AdS/CFT
journal, May 2007
 Díaz, Danilo E.; Dorn, Harald
 Journal of High Energy Physics, Vol. 2007, Issue 05
The heat kernel on AdS
journal, November 2011
 Gopakumar, Rajesh; Gupta, Rajesh Kumar; Lal, Shailesh
 Journal of High Energy Physics, Vol. 2011, Issue 11
Spinors and the AdS/CFT correspondence
journal, July 1998
 Henningson, Måns; Sfetsos, Konstadinos
 Physics Letters B, Vol. 431, Issue 12
Quantum corrections to holographic entanglement entropy
journal, November 2013
 Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan
 Journal of High Energy Physics, Vol. 2013, Issue 11
Oneloop partition function from normal modes for $ \mathcal {N}=1$ supergravity in AdS _{3}
journal, June 2012
 Zhang, Hongbao; Zhang, Xiangdong
 Classical and Quantum Gravity, Vol. 29, Issue 14
Fermionscalar conformal blocks
journal, April 2016
 Iliesiu, Luca; Kos, Filip; Poland, David
 Journal of High Energy Physics, Vol. 2016, Issue 4
Black Hole Microstate Counting and its Macroscopic Counterpart
journal, July 2011
 Mandal, Ipsita; Sen, Ashoke
 Nuclear Physics B  Proceedings Supplements, Vol. 216, Issue 1
A oneloop test of quantum supergravity
journal, November 2013
 Bhattacharyya, Sayantani; Grassi, Alba; Mariño, Marcos
 Classical and Quantum Gravity, Vol. 31, Issue 1