Black hole determinants and quasinormal modes - INSPIRE

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Black hole determinants and quasinormal modes

Frederik Denef
(
- Harvard U., Phys. Dept. and
- Santa Barbara, KITP and
- Leuven U.
)
,
Sean A. Hartnoll
(
- Harvard U., Phys. Dept. and
- Santa Barbara, KITP
)
,
Subir Sachdev
(
- Harvard U., Phys. Dept. and
- Santa Barbara, KITP
)

Aug, 2009

28 pages

Published in:

Class.Quant.Grav. 27 (2010) 125001

e-Print:

0908.2657 [hep-th]

DOI:

10.1088/0264-9381/27/12/125001

Report number:

NSF-KITP-09-145

View in:

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Abstract: (arXiv)

We derive an expression for functional determinants in thermal spacetimes as a product over the corresponding quasinormal modes. As simple applications we give efficient computations of scalar determinants in thermal AdS, BTZ black hole and de Sitter spacetimes. We emphasize the conceptual utility of our formula for discussing `1/N' corrections to strongly coupled field theories via the holographic correspondence.

Note:

28 pages. v2: slightly improved exposition, references added

space-time: de Sitter
black hole: BTZ
black hole: quasinormal mode
black hole: anti-de Sitter
holography
oscillator
partition function
boundary condition
renormalization group
heat kernel

References(58)

Figures(0)

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(
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)
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(
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)

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(
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(
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)
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(
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(
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)
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(
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)
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)

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)

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