Time-dependent stabilization in AdS/CFT

Roberto Auzzi, Shmuel Elitzur, Sven Bjarke Gudnason, Eliezer Rabinovici

Risultato della ricerca: Contributo in rivistaArticolo in rivista

6 Citazioni (Scopus)

Abstract

We consider theories with time-dependent Hamiltonians which alternate between being bounded and unbounded from below. For appropriate frequencies dynamical stabilization can occur rendering the effective potential of the system stable. We first study a free field theory on a torus with a time-dependent mass term, finding that the stability regions are described in terms of the phase diagram of the Mathieu equation. Using number theory we have found a compactification scheme such as to avoid resonances for all momentum modes in the theory. We further consider the gravity dual of a conformal field theory on a sphere in three spacetime dimensions, deformed by a doubletrace operator. The gravity dual of the theory with a constant unbounded potential develops big crunch singularities; we study when such singularities can be cured by dynamical stabilization. We numerically solve the Einstein-scalar equations of motion in the case of a time-dependent doubletrace deformation and find that for sufficiently high frequencies the theory is dynamically stabilized and big crunches get screened by black hole horizons.
Lingua originaleEnglish
pagine (da-a)0-37
Numero di pagine38
RivistaJournal of High Energy Physics
DOI
Stato di pubblicazionePubblicato - 2012

Keywords

  • AdS/CFT Correspondence

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