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Prog. Theor. Phys. Supplement No.190 (2011) pp. 261-273
Holographic Description of Vacuum Bubbles
Jaume Garriga
Departament de Física Fonamental and
Institut de Ciències del Cosmos, Universitat de Barcelona,
Martí i Franquès 1, 08028 Barcelona, Spain
Abstract:
We discuss a holographic description of vacuum bubbles, with
possible implications for a consistent description of the multiverse.
In particular, we elaborate on the recent observation by Maldacena,
that the interior of AdS bubbles can be described in terms of CFT
degrees of freedom living on the worldsheet of the bubble wall.
We consider the scattering of bulk gravitons in the ambient parent
vacuum, off the bubble wall. In the dual description, the transmission
coefficient is interpreted as the probability that a graviton is
absorbed by the worldsheet CFT degrees of freedom. The result is
in agreement with intuitive expectations. Conformal invariance is
not exact in this setup, and the leading corrections due to the IR
and UV cut-offs are displayed. Aside from bulk scattering states,
we find that when a bubble nucleates within a parent dS vacuum,
there is a zero mode of the graviton which describes lower dimensional
gravity with a finite Newton's constant. This massless graviton lives
within one Hubble radius away from the bubble wall.
Possible implications for a fully holographic description of
the inflating multiverse are briefly discussed.
URL :
http://ptp.ipap.jp/link?PTPS/190/261/
DOI : 10.1143/PTPS.190.261
References:
-
J. Garriga and A. Vilenkin, J. Cosmol. Astropart. Phys. 01 (2009), 021, [IoP STACKS]
arXiv:0809.4257[e-print arXiv].
-
J. Garriga and A. Vilenkin, J. Cosmol. Astropart. Phys. 11 (2009), 020, [IoP STACKS]
arXiv:0905.1509[e-print arXiv].
-
B. Fiol, J. Cosmol. Astropart. Phys. 07 (2010), 005, [IoP STACKS]
arXiv:1004.0618[e-print arXiv].
-
R. Bousso, B. Freivogel, S. Leichenauer and V. Rosenhaus, arXiv:1005.2783[e-print arXiv].
-
A. Strominger, J. High Energy Phys. 10 (2001), 034, [CrossRef]
hep-th/0106113[e-print arXiv].
-
B. Freivogel, Y. Sekino, L. Susskind and C. P. Yeh, Phys. Rev. D 74 (2006), 086003, [APS]
hep-th/0606204[e-print arXiv].
-
L. Susskind, arXiv:0710.1129[e-print arXiv].
Y. Sekino and L. Susskind, Phys. Rev. D 80 (2009), 083531, [APS]
arXiv:0908.3844[e-print arXiv].
-
J. Maldacena, arXiv:1012.0274[e-print arXiv].
- H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. No. 78 (1984), 1[PTP].
-
J. Garriga, X. Montes, M. Sasaki and T. Tanaka, Nucl. Phys. B 513 (1998), 343, [CrossRef]
astro-ph/9706229[e-print arXiv].
-
J. Garriga, X. Montes, M. Sasaki and T. Tanaka, Nucl. Phys. B 551 (1999), 317, [CrossRef]
astro-ph/9811257[e-print arXiv].
-
A. Ishibashi and T. Tanaka, J. Cosmol. Astropart. Phys. 03 (2005), 011, [IoP STACKS]
gr-qc/0208006[e-print arXiv].
- M. Alishahiha, A. Karch, E. Silverstein and D. Tong, AIP Conf. Proc. 743 (2005), 393,
hep-th/0407125[e-print arXiv].
-
L. Randall and R. Sundrum, Phys. Rev. Lett. 83 (1999), 4690, [APS]
hep-th/9906064[e-print arXiv].
-
J. Garriga and M. Sasaki, Phys. Rev. D 62 (2000), 043523, [APS]
hep-th/9912118[e-print arXiv].
-
D. Harlow and L. Susskind, arXiv:1012.5302[e-print arXiv].