TY - JOUR

T1 - Localization of matter and cosmological constant on a brane in anti de Sitter space

AU - Bajc, Borut

AU - Gabadadze, Gregory

N1 - Funding Information:
The authors are grateful to Gia Dvali and Massimo Porrati for many useful discussions. We thank Goran Senjanović for reading the manuscript and useful suggestions. We are grateful to Antonio Grassi, Juan Maldacena, Giuseppe Policastro and Hossein Sarmadi for helpful conversations. The work was supported by the grant NSF PHY-94-23002. The work of B.B. was also supported by the Ministry of Science and Technology of the Republic of Slovenia.

PY - 2000/2/17

Y1 - 2000/2/17

N2 - We study two issues, the localization of various spin fields, and the problem of the cosmological constant on a brane in five-dimensional anti de Sitter space. We find that spin-zero fields are localized on a positive-tension brane. In addition to the localized zero-mode there is a continuous tower of states with no mass gap. Spin one-half and three-half states can be localized on a brane with 'negative tension'. Their localization can be achieved on the positive-tension brane as well, if additional interactions are introduced. The necessary ingredient of the scenario with localized gravity is the relation between the bulk cosmological constant and the brane tension. In the absence of supersymmetry this implies fine-tuning between the parameters of the theory. To deal with this issue we introduce a four-form gauge field. This gives an additional arbitrary contribution to the bulk cosmological constant. As a result, the model gives rise to a continuous family of brane Universe solutions for generic values of the bulk cosmological constant and the brane tension. Among these solutions there is one with a zero four-dimensional cosmological constant. (C) 2000 Published by Elsevier Science B.V.

AB - We study two issues, the localization of various spin fields, and the problem of the cosmological constant on a brane in five-dimensional anti de Sitter space. We find that spin-zero fields are localized on a positive-tension brane. In addition to the localized zero-mode there is a continuous tower of states with no mass gap. Spin one-half and three-half states can be localized on a brane with 'negative tension'. Their localization can be achieved on the positive-tension brane as well, if additional interactions are introduced. The necessary ingredient of the scenario with localized gravity is the relation between the bulk cosmological constant and the brane tension. In the absence of supersymmetry this implies fine-tuning between the parameters of the theory. To deal with this issue we introduce a four-form gauge field. This gives an additional arbitrary contribution to the bulk cosmological constant. As a result, the model gives rise to a continuous family of brane Universe solutions for generic values of the bulk cosmological constant and the brane tension. Among these solutions there is one with a zero four-dimensional cosmological constant. (C) 2000 Published by Elsevier Science B.V.

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U2 - 10.1016/S0370-2693(00)00055-1

DO - 10.1016/S0370-2693(00)00055-1

M3 - Article

AN - SCOPUS:0001423257

SN - 0370-2693

VL - 474

SP - 282

EP - 291

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -