Partition functions with spin in AdS2 via quasinormal mode methods

Cynthia Keeler, Pedro Lisbão, Gim Seng Ng

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 |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.

Original languageEnglish (US)
Article number60
JournalJournal of High Energy Physics
Volume2016
Issue number10
DOIs
StatePublished - Oct 1 2016
Externally publishedYes

Fingerprint

partitions
determinants
poles
heat
expansion

Keywords

  • 2D Gravity
  • AdS-CFT Correspondence
  • Space-Time Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Partition functions with spin in AdS2 via quasinormal mode methods. / Keeler, Cynthia; Lisbão, Pedro; Ng, Gim Seng.

In: Journal of High Energy Physics, Vol. 2016, No. 10, 60, 01.10.2016.

Research output: Contribution to journalArticle

@article{a3534c9eaa334aec984ed46fa0653ebe,
title = "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 |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.",
keywords = "2D Gravity, AdS-CFT Correspondence, Space-Time Symmetries",
author = "Cynthia Keeler and Pedro Lisb{\~a}o and Ng, {Gim Seng}",
year = "2016",
month = "10",
day = "1",
doi = "10.1007/JHEP10(2016)060",
language = "English (US)",
volume = "2016",
journal = "Journal of High Energy Physics",
issn = "1029-8479",
publisher = "Springer Verlag",
number = "10",

}

TY - JOUR

T1 - Partition functions with spin in AdS2 via quasinormal mode methods

AU - Keeler, Cynthia

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.

KW - 2D Gravity

KW - AdS-CFT Correspondence

KW - Space-Time Symmetries

UR - http://www.scopus.com/inward/record.url?scp=84992146114&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992146114&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2016)060

DO - 10.1007/JHEP10(2016)060

M3 - Article

AN - SCOPUS:84992146114

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1029-8479

IS - 10

M1 - 60

ER -