Vishnu Jejjala et al JCAP06(2003)002 doi:10.1088/1475-7516/2003/06/002
Vishnu Jejjala1, Robert G Leigh2,3 and Djordje Minic1
Show affiliationsIt was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection, relating the UV scale to the radius of the effective extra dimension. Here we note that this non-locality is a manifestation of holography, encoding the correct scaling of the number of fundamental degrees of freedom of the UV theory. This in turn relates the Wilsonian RG flow in the UV theory to the effective gravitational dynamics in the extra dimension. The relevant holographic c-function is determined by the expression for the holographic bound. Holography in this context is a result of the requirements of unitarity and diffeomorphism invariance. We comment on the relevance of this observation for the cosmological constant problem.
Issue 06 (June 2003)
Received 16 March 2003, accepted for publication 4 May 2003
Published 11 June 2003
Vishnu Jejjala et al JCAP06(2003)002
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