2011
DOI: 10.1088/1475-7516/2011/05/025
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De Sitter Galileon

Abstract: We generalize the Galileon symmetry and its relativistic extension to a de Sitter background. This is made possible by studying a probe-brane in a flat five-dimensional bulk using a de Sitter slicing. The generalized Lovelock invariants induced on the probe brane enjoy the induced Poincaré symmetry inherited from the bulk, while living on a de Sitter geometry. The nonrelativistic limit of these invariants naturally maintain a generalized Galileon symmetry around de Sitter while being free of ghost-like patholo… Show more

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Cited by 95 publications
(79 citation statements)
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“…Galileon theory arises as a special case of this setup. Similar generalization of Galileon field to maximally symmetric spacetime using a deSitter slicing has also been done in [12].…”
Section: Introductionmentioning
confidence: 90%
“…Galileon theory arises as a special case of this setup. Similar generalization of Galileon field to maximally symmetric spacetime using a deSitter slicing has also been done in [12].…”
Section: Introductionmentioning
confidence: 90%
“…This theory has been extensively studied in many contexts including inflation [142,440,443] and late time acceleration. The DBI theory arises naturally as the world volume theory of a brane probing a higher-dimensional space and therefore inherits the isometries of the target space as global symmetries [484][485][486][487].…”
Section: Generalizationsmentioning
confidence: 99%
“…By considering a 3-brane probing a non-dynamical bulk, the actions for galileons, conformal galileons and covariant galileons appear as the non-relativistic limit of world-volume and bulk Lovelock invariants [584]. This probe brane construction has been greatly generalized-it has been applied to all cases of maximally symmetric branes probing maximally symmetric bulks [485][486][487], to higher codimensions [570,574] and to cosmological backgrounds [585], each leading to novel scalar theories. See [258] for a review of these extensions.…”
Section: The Vainshtein Mechanism: Galileonsmentioning
confidence: 99%
“…Galileons appear in the non-relativistic limit of theories describing fluctuating hypersurfaces [7][8][9][10], which is of interest in high energy physics, but may also be of interest for biophysics or condensed matter applications. The galileons and their higher-shift analogues may also be useful for describing Goldstone bosons near multi-critical points [11][12][13].…”
mentioning
confidence: 99%