2012
DOI: 10.1103/physrevd.85.124040
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Polycritical Gravities

Abstract: We present higher-derivative gravities that propagate an arbitrary number of gravitons of different mass on (A)dS backgrounds. These theories have multiple critical points, at which the masses degenerate and the graviton energies are non-negative. For six derivatives and higher there are critical points with positive energy.

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Cited by 18 publications
(28 citation statements)
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References 38 publications
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“…The stability holds here when both σ and σ 1 parameters are positive or negative. As we mentioned in introduction, there will be a unitary subspace if and only if the ghost-like logarithmic modes at the critical points are truncated by imposing certain boundary conditions [6][7][8][9][10]. But it should be noted that the unitary truncation method is valid only in free theories at the linear level [11].…”
Section: Massless and Massive Graviton Modesmentioning
confidence: 99%
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“…The stability holds here when both σ and σ 1 parameters are positive or negative. As we mentioned in introduction, there will be a unitary subspace if and only if the ghost-like logarithmic modes at the critical points are truncated by imposing certain boundary conditions [6][7][8][9][10]. But it should be noted that the unitary truncation method is valid only in free theories at the linear level [11].…”
Section: Massless and Massive Graviton Modesmentioning
confidence: 99%
“…The value of couplings are fixed by equations of motion for Lifshitz black hole +102462z 5 +44600z 6 −6720z 7 )+d 5 (2505650−6248772z +411834z 2 +756888z 3 +398394z 4 −70176z 5 −321534z 6 +68196z 7 −896z 8 )+d 4 (−2971401+5919268z +764380z 2 −2348514z 3 +196217z 4 −734178z 5 +1145572z 6 −236240z 7 −21600z 8 +6432z 9 ) + d 3 (2264148 − 3324172 z −2560626 z 2 + 4208820 z 3 − 2310448 z 4 + 2819176 z 5 − 2268746z 6 +267960z 7 + 205232z 8 −57184z 9 +992z 10 )+d 2 (−1057077+770046z+3165710z 2 −5024144z 3 +4741735z 4 −4632974z 5 +2404368z 6 +278752z 7 −609712z 8 + 151328z 9 + 2560z 10 − 512z 11 ) − 2d(−133650 − 79020z +999513z 2 −1814186z 3 +2177468z 4 −1806584z 5 +499333z 6 +468702z 7 −375688z 8 +58112 z 9 +20944 z 10 − 5088z 11 + 512z 12 ) + 4( −6561 − 23490 z + 134703 z 2 − 290208 z 3 + 381553z 4 −254922z 5 −27091z 6 +160612z 7 −82092z 8 −4216z 9 +15520z 10 − 4320z 11 + 512z 12 ) +l 4 (z −1) 48d 10 +6d 9 (−213+257z)+d 8…”
Section: B Lifshitz Couplingsunclassified
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“…A polycritical gravity was, recently, introduced to provide multiple critical points [14] which might be described by a higher rank LCFT. A rank of the LCFT refers to the dimensionality of the Jordan cell.…”
Section: Introductionmentioning
confidence: 99%
“…In order to resolve this issue, a polycritical gravity with 2n(n > 2)-derivative was introduced to provide multiple critical points [8] whose CFT dual seems to be a rank-n LCFT. A consistent unitary truncation of polycritical gravity was performed at the linearized level for odd n, but not for even n [9].…”
mentioning
confidence: 99%