Randall-Sundrum models and the regularized AdS/CFT correspondence

Pérez-Victoria, M.

doi:10.1088/1126-6708/2001/05/064

Cited by 153 publications

(148 citation statements)

References 65 publications

(143 reference statements)

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“…For instance, if the GUT is broken in such a way that the bulk mass parameters remain universal (as typically happens in models where the symmetry is broken by boundary effects only) then the incalculable power corrections cancel in the prediction for the weak mixing angle. In addition, if the GUT is broken by orbifold boundary conditions, the zero mode structure need not appear in complete multiplets, in which case the large logarithms that arises if m/k ≥ 1/2 are meaningful, since the UV sensitive power piece cancels in the prediction 10 . Furthermore, in supersymmetric models, the mass of a bulk hypermultiplet does not receive radiative corrections, so small fermion masses are technically natural.…”

Section: Fermionsmentioning

confidence: 99%

“…Thus by following their flow across a wide range of energies, one can use these Planck correlators to correctly account for the dependence of low energy quantities on UV scales. The remarkable fact that such flows turn out to be logarithmic, as in a purely 4D theory, is perhaps not surprising given that the AdS/CFT correspondence [5,6], as it applies to RS scenarios [7,8,9,10], implies that there is a well defined prescription for relating Planck correlators in the AdS background to quantities in a 4D conformal field theory (CFT). The non-decoupling approach to computing logarithmic corrections can be found in [11,12,13,14,15].…”

Section: Introductionmentioning

confidence: 99%

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Systematics of coupling flows in AdS backgrounds

2003

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We give an effective field theory derivation, based on the running of Planck brane gauge correlators, of the large logarithms that arise in the predictions for low energy gauge couplings in compactified AdS 5 backgrounds, including the one-loop effects of bulk scalars, fermions, and gauge bosons. In contrast to the case of charged scalars coupled to Abelian gauge fields that has been considered previously in the literature, the one-loop corrections are not dominated by a single 4D Kaluza-Klein mode. Nevertheless, in the case of gauge field loops, the amplitudes can be reorganized into a leading logarithmic contribution that is identical to the running in 4D non-Abelian gauge theory, and a term which is not logarithmically enhanced and is analogous to a two-loop effect in 4D. In a warped GUT model broken by the Higgs mechanism in the bulk, we show that the matching scale that appears in the large logarithms induced by the non-Abelian gauge fields is m 2 XY /k where m XY is the bulk mass of the XY bosons and k is the AdS curvature. This is in contrast to the UV scale in the logarithmic contributions of scalars, which is simply the bulk mass m. Our results are summarized in a set of simple rules that can be applied to compute the leading logarithmic predictions for coupling constant relations within a given warped GUT model.We present results for both bulk Higgs and boundary breaking of the GUT gauge group. * Electronic address: walter@thsrv.lbl.gov † Electronic address: ira@cmuhep2.phys.cmu.edu

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Section: Fermionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Systematics of coupling flows in AdS backgrounds

2003

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“…For instance the first term is obtained by the second diagram in fig. 1 as the product of the following factors 6) where the first factor N 2 ≡ (M 5 L) 3 counts the numerical coefficient in front of the CFT action [12,13,14,15,16,17], the second and third factors are obvious, while the fourth factor is just dictated by dimensional analysis once µ is recognized as the only IR scale. Eq.…”

Section: Introductionmentioning

confidence: 99%

Gravitational quantum corrections in warped supersymmetric brane worlds

Gregoire¹,

Rattazzi²,

Scrucca³

et al. 2005

Nuclear Physics B

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We study gravitational quantum corrections in supersymmetric theories with warped extra dimensions. We develop for this a superfield formalism for linearized gauged supergravity. We show that the 1-loop effective Kähler potential is a simple functional of the KK spectrum in the presence of generic localized kinetic terms at the two branes. We also present a simple understanding of our results by showing that the leading matter effects are equivalent to suitable displacements of the branes. We then apply this general result to compute the gravity-mediated universal soft mass m 2 0 in models where the visible and the hidden sectors are sequestered at the two branes. We find that the contributions coming from radion mediation and brane-to-brane mediation are both negative in the minimal set-up, but the former can become positive if the gravitational kinetic term localized at the hidden brane has a sizable coefficient. We then compare the features of the two extreme cases of flat and very warped geometry, and give an outlook on the building of viable models.

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“…The brane world scenario of the Randall and Sundrum model [6] has been a new arena to further understand the holographic feature of gravity (see, for example, [7,8] and references therein). In Ref.…”

Section: Introductionmentioning

confidence: 99%

Holography and brane cosmology in domain wall backgrounds

Cai

Zhang

2001

Phys. Rev. D

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We consider a class of domain-wall black hole solutions in the dilaton gravity with a Liouville-type dilaton potential. Using the surface counterterm approach we calculate the stress-energy tensor of quantum field theory (QFT) corresponding to the domain-wall black hole in the domain-wall/QFT correspondence. A brane universe is investigated in the domain-wall black hole background. When the tension term of the brane is equal to the surface counterterm, we find that the equation of motion of the brane can be mapped to the standard form of FRW equations, but with a varying gravitational constant on the brane. A Cardy-Verlinde-like formula is found, which relates the entropy density of the QFT to its energy density. At the moment when the brane crosses the black hole horizon of the background, the Cardy-Verlinde-like formula coincides with the Friedmann equation of the brane universe, and the Hubble entropy bound is saturated by the entropy of domain-wall black holes. *

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Randall-Sundrum models and the regularized AdS/CFT correspondence

Cited by 153 publications

References 65 publications

Systematics of coupling flows in AdS backgrounds

Systematics of coupling flows in AdS backgrounds

Gravitational quantum corrections in warped supersymmetric brane worlds

Holography and brane cosmology in domain wall backgrounds

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