Conformal Brane World and Cosmological Constant

Abstract

We consider a recently proposed setup where a codimension one brane is embedded in the background of a smooth domain wall interpolating between AdS and Minkowski minima. Since the volume of the transverse dimension is infinite, bulk supersymmetry is intact even if brane supersymmetry is completely broken. On the other hand, in this setup unbroken bulk supersymmetry is incompatible with non-zero brane cosmological constant, so the former appears to protect the latter. In this paper we point out that, to have a consistent coupling between matter localized on the brane and bulk gravity, in this setup generically it appears to be necessary that the brane world-volume theory be conformal. Thus, unbroken bulk supersymmetry appears to actually protect not only the cosmological constant but also conformal invariance on the brane.

14 pages, revtex; minor misprints corrected

References in corpus (2)

• An exotic class of Kaluza-Klein models
• Chiral Fermions and AdS/CFT Duality for a Nonabelian Orbifold

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• Gravity in Randall-Sundrum Brane World Revisited
• A Solitonic 3-Brane in 6D Bulk
• Quiver Gauge Theory and Conformality at the TeV Scale
• Three Family N=1 SUSY Models from Z_n Orbifolded AdS/CFT
• Solitonic Brane World with Completely Localized (Super)Gravity
• Time-like Extra Dimensions without Tachyons or Ghosts
• Vanishing of cosmological constant and fully localized gravity in a Brane World with extra time(s)
• Implications on the cosmic coincidence by a dynamical extrinsic curvature
• Classification of SUSY and non-SUSY Chiral Models from Abelian Orbifolds AdS/CFT
• Evolving extrinsic curvature and the cosmological constant problem