Correspondence principle for a brane in Minkowski space and vector mesons

Abstract

We consider a 3-brane of positive cosmological constant (de Sitter) in D-dimensional Minkowski space. We show that the Poincare algebra in the bulk yields a SO(4,2) algebra when restricted to the brane. In the limit of zero cosmological constant (flat brane), this algebra turns into the conformal algebra on the brane. We derive a correspondence principle for Minkowski space analogous to the AdS/CFT correspondence. We discuss explicitly the cases of scalar and gravitational fields. For a 3-brane of finite thickness in the transverse directions, we obtain a spectrum for vector gravitational perturbations which correspond to vector mesons. The spectrum agrees with the one obtained in truncated AdS space by de Teramond and Brodsky provided D=10 and the bulk mass scale M is of order the geometric mean of the Planck mass ($\bar{M}$) on the brane and ${\Lambda }_{QCD}$ ($M\sim (\bar{M}{\Lambda }_{QCD}{)}^{1/2}\sim 10^9$ GeV).

8 pages in two-column ReVTeX 4

References in corpus (7)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Low energy hadron physics in holographic QCD
• Hadronic Spectrum of a Holographic Dual of QCD
• Regge Trajectories for Mesons in the Holographic Dual of Large-N_c QCD
• Mesons in gauge/gravity dual with large number of fundamental fields
• Multiflavour excited mesons from the fifth dimension
• Heisenberg saturation of the Froissart bound from AdS-CFT

Cited by in corpus (3)

• The Holographic Nature of Null Infinity
• Open string modes at brane intersections
• Scalar effective potential for D7 brane probes which break chiral symmetry