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Title: Randall-Sundrum Brane Model with 7D Anti-de Sitter Space

Abstract

In the same sense that 5D anti-de Sitter space (AdS{sub 5}) warped geometries arise naturally from type IIB string theory with stacks of D3 branes, AdS{sub 7} warped geometries arise naturally from M theory with stacks of M5 branes. We compactify two spatial dimensions of AdS{sub 7} to get AdS{sub 5}x{sigma}{sup 2}, where the metric for {sigma}{sup 2} inherits the same warp factor as appears in the AdS{sub 5}. We analyze the 5D spectrum in detail for the case of a bulk scalar or a graviton in AdS{sub 5}xT{sup 2}, in a setup which mimics the first Randall-Sundrum model. The results display novel features which might be observed in experiments at the CERN Large Hadron Collider. For example, we obtain TeV scale string winding states without lowering the string scale. This is due to the double warping which is a generic feature of winding states along compactified AdS directions. Experimental verification of these signatures of AdS{sub 7} could be interpreted as direct evidence for M theory.

Authors:
;  [1];  [2]
  1. Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
20771627
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 95; Journal Issue: 26; Other Information: DOI: 10.1103/PhysRevLett.95.261601; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CERN LHC; COMPACTIFICATION; DE SITTER GROUP; GEOMETRY; KALUZA-KLEIN THEORY; MATHEMATICAL SPACE; MEMBRANES; SCALARS; STRING MODELS; TEV RANGE; TOPOLOGY; VERIFICATION

Citation Formats

Bao Ruoyu, Lykken, Joseph, and Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510. Randall-Sundrum Brane Model with 7D Anti-de Sitter Space. United States: N. p., 2005. Web. doi:10.1103/PhysRevLett.95.261601.
Bao Ruoyu, Lykken, Joseph, & Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510. Randall-Sundrum Brane Model with 7D Anti-de Sitter Space. United States. doi:10.1103/PhysRevLett.95.261601.
Bao Ruoyu, Lykken, Joseph, and Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510. Sat . "Randall-Sundrum Brane Model with 7D Anti-de Sitter Space". United States. doi:10.1103/PhysRevLett.95.261601.
@article{osti_20771627,
title = {Randall-Sundrum Brane Model with 7D Anti-de Sitter Space},
author = {Bao Ruoyu and Lykken, Joseph and Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510},
abstractNote = {In the same sense that 5D anti-de Sitter space (AdS{sub 5}) warped geometries arise naturally from type IIB string theory with stacks of D3 branes, AdS{sub 7} warped geometries arise naturally from M theory with stacks of M5 branes. We compactify two spatial dimensions of AdS{sub 7} to get AdS{sub 5}x{sigma}{sup 2}, where the metric for {sigma}{sup 2} inherits the same warp factor as appears in the AdS{sub 5}. We analyze the 5D spectrum in detail for the case of a bulk scalar or a graviton in AdS{sub 5}xT{sup 2}, in a setup which mimics the first Randall-Sundrum model. The results display novel features which might be observed in experiments at the CERN Large Hadron Collider. For example, we obtain TeV scale string winding states without lowering the string scale. This is due to the double warping which is a generic feature of winding states along compactified AdS directions. Experimental verification of these signatures of AdS{sub 7} could be interpreted as direct evidence for M theory.},
doi = {10.1103/PhysRevLett.95.261601},
journal = {Physical Review Letters},
number = 26,
volume = 95,
place = {United States},
year = {Sat Dec 31 00:00:00 EST 2005},
month = {Sat Dec 31 00:00:00 EST 2005}
}
  • In the same sense that AdS{sub 5} warped geometries arise naturally from Type IIB string theory with stacks of D3 branes, AdS{sub 7} warped geometries arise naturally from M theory with stacks of M5 branes. We compactify two spatial dimensions of AdS{sub 7} to get AdS{sub 5} x {Sigma}{sup 2}, where {Sigma}{sup 2} is e.g. a torus T{sup 2} or a sphere S{sup 2}. The metric for {Sigma} inherits the same warp factor as appears in the AdS{sub 5}. Bulk fields generically have both Kaluza-Klein and winding modes associated with {Sigma}. In the effective 5d action these will contribute exoticmore » new excitations. We analyze the 5d spectrum in detail for the case of a bulk scalar or a graviton in AdS{sub 5} x T{sup 2}, in a setup which mimics the first Randall-Sundrum model. The results display several novel features, some of which might be observed in experiments at the LHC. For example, we obtain TeV scale string winding states without lowering the string scale. This is due to the double warping which is a generic feature of winding states along compactified AdS directions. Experimental verification of these signatures of AdS{sub 7} could be interpreted as direct evidence for M theory.« less
  • We discuss the cosmological implications and the holographic dual theory of the 7D Randall-Sundrum gravitational setup. Adding generic matter in the bulk on the 7D gravity side, we study the cosmological evolution inferred by the nonvanishing value of the brane-bulk energy exchange parameter. This analysis is achieved in detail for specific assumptions on the internal space evolution, including analytical considerations and numerical results. The dual theory is then constructed, making use of the holographic renormalization procedure. The resulting renormalized 6D conformal field theory is anomalous and coupled to 6D gravity plus higher order corrections. The critical point analysis on themore » brane is performed. Finally, we sketch a comparison between the two dual descriptions. We moreover generalize the Ads/CFT dual theory to the nonconformal and interacting case, relating the energy exchange parameter of the bulk gravity description to the new interactions between hidden and visible sectors.« less
  • In the Randall-Sundrum two D-brane system, we derive the gravitational theory on the branes. It is turned out from the consistency that one D-brane has the negative tension brane under Randall-Sundrum tuning and both gauge fields on the brane are related by scale transformation through the bulk R(Ramond)R/NS(Neveu-Schwarz)-NS fields. As with the single D-brane case, the gauge field which is supposed to be localized on the brane does not couple to the gravity on the branes.
  • We analyze the Randall-Sundrum two D-brane model by linear perturbation and then consider the linearized gravity on the D brane. The qualitative contribution from the Kaluza-Klein modes of gauge fields to the coupling to the gravity on the brane will be addressed. As a consequence, the gauge fields localized on the brane are shown not to contribute to the gravity on the brane at large distances. Although the coupling between gauge fields and gravity appears in the next order, the ordinary coupling cannot be realized.
  • We study the effective potential of a scalar field based on the 5D gauged supergravity for the Randall-Sundrum type one brane model in terms of the brane running method. The scalar couples to the brane such that the Bogomolnyi-Prasad-Sommerfield conditions are satisfied for the bulk configuration. The resulting effective potential implies that the interbrane distance is undetermined in this case, and we need a small Bogomolnyi-Prasad-Sommerfield breaking term on the brane to stabilize the interbrane distance at a finite length. We also discuss the relationship to the Goldberger-Wise model.