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Title: Gravitating p-branes

Abstract

Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincare symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge fields corresponding to the broken space translation symmetries which together carry the fundamental representation of the unbroken SO(N) gauge symmetry and an SO(N) Yang-Mills field localized on the brane. The long wavelength dynamics of the gravitating p-brane is the same as the action of an SO(N) vector massive Proca field and a non-Abelian SO(N) Yang-Mills field all coupled to gravity in d=(1+p) dimensional space-time. The general results are specialized to determine the effective action for the gravitating vortex solution in the D=6 Abelian Higgs-Kibble model.

Authors:
; ;  [1];  [2];  [1];  [3]
  1. Department of Physics, Purdue University, West Lafayette, Indiana 47907-2036 (United States)
  2. Department of Physics, Keio University, Hiyoshi, Yokohoma, Kanagawa, 223-8521 (Japan)
  3. (United States)
Publication Date:
OSTI Identifier:
21020207
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.065028; (c) 2007 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; ACTION INTEGRAL; GAUGE INVARIANCE; GRAVITATION; HIGGS BOSONS; HIGGS MODEL; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SO GROUPS; SPACE-TIME; SYMMETRY; VORTICES; YANG-MILLS THEORY

Citation Formats

Clark, T. E., Love, S. T., Xiong, C., Nitta, Muneto, Veldhuis, T. ter, and Department of Physics and Astronomy, Macalester College, Saint Paul, Minnesota 55105-1899. Gravitating p-branes. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.065028.
Clark, T. E., Love, S. T., Xiong, C., Nitta, Muneto, Veldhuis, T. ter, & Department of Physics and Astronomy, Macalester College, Saint Paul, Minnesota 55105-1899. Gravitating p-branes. United States. doi:10.1103/PHYSREVD.75.065028.
Clark, T. E., Love, S. T., Xiong, C., Nitta, Muneto, Veldhuis, T. ter, and Department of Physics and Astronomy, Macalester College, Saint Paul, Minnesota 55105-1899. Thu . "Gravitating p-branes". United States. doi:10.1103/PHYSREVD.75.065028.
@article{osti_21020207,
title = {Gravitating p-branes},
author = {Clark, T. E. and Love, S. T. and Xiong, C. and Nitta, Muneto and Veldhuis, T. ter and Department of Physics and Astronomy, Macalester College, Saint Paul, Minnesota 55105-1899},
abstractNote = {Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincare symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge fields corresponding to the broken space translation symmetries which together carry the fundamental representation of the unbroken SO(N) gauge symmetry and an SO(N) Yang-Mills field localized on the brane. The long wavelength dynamics of the gravitating p-brane is the same as the action of an SO(N) vector massive Proca field and a non-Abelian SO(N) Yang-Mills field all coupled to gravity in d=(1+p) dimensional space-time. The general results are specialized to determine the effective action for the gravitating vortex solution in the D=6 Abelian Higgs-Kibble model.},
doi = {10.1103/PHYSREVD.75.065028},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}
  • Five-dimensional theories manifesting spontaneous brane generation are discussed in a gravitational context. Without gravity, the IR dynamics of the brane fluctuation below the brane tension scale is described by an effective theory for the Nambu-Goldstone modes. When gravity is properly taken into account, the long-distance dynamics changes. The spontaneous breaking of local translational invariance triggers the formation of massive representations via the Higgs mechanism and induces the appearance of new mass scales in the IR. These scales can in principle depend on other fundamental parameters besides the brane tension and the Planck mass. In noncompact extra dimensions the massive statesmore » are found to be scalar bound states. We obtain explicit expressions for their propagator and show that their masses depend on the brane width. We present an exactly solvable model which captures the main features of the gravitational system.« less
  • The formation of a domain wall ('thick brane') induced by scalar matter dynamics and triggered by a thin brane defect is considered in noncompact five-dimensional space-time with warped AdS type geometry. The scalar matter is composed of two fields with softly broken O(2) symmetry and minimal coupling to gravity. The nonperturbative effects in the invariant mass spectrum of light localized scalar states are investigated for different values of the tension of the thin brane defect. Especially interesting is the case of the thin brane with negative tension when the singular barriers form a potential well with two infinitely tall wallsmore » and the discrete spectrum of localized states arises completely isolated from the bulk.« less
  • We examine the supersymmetry of classical D-brane and M-brane configurations and explain the dependence of Killing spinors on coordinates. We find that one-half supersymmetry is broken in the bulk and that supersymmetry near the D-brane horizon is restored for p{le}3, for solutions in the stringy frame, but only for p=3 in the ten-dimensional canonical frame. We study the enhancement for the case of four intersecting D-3-branes in ten dimensions and the implication of this for the size of the infinite throat of the near horizon geometry in noncompactified theory. We find some indications of universality of near horizon geometries ofmore » various intersecting brane configurations. {copyright} {ital 1997} {ital The American Physical Society}« less
  • We first investigate intersections of an S-brane with a single p-brane and show that in addition to the already known solutions, it is possible to place the S-brane so that the radial part of the p-brane is not included in its world volume. This leads to a new set of solutions. Second, we consider intersections of an S-brane with a supersymmetric Dp{sub 1}-Dp{sub 2} intersection and find the list of allowed solutions for both positions of the S-brane. Among them there are D1-D5-S1 and D1-D5-S5 intersections which might be appropriate for studying time dependent AdS/CFT correspondence.
  • In this paper the authors present a general method of constructing manifestly world-volume supersymmetric actions of super--branes, starting form some higher-dimensional field theories in which the partial breaking of global supersymmetry (PBGS) comes about. The authors' approach is based upon a substitution of the superspace coordinates which relates linear and nonlinear realizations of PBGS. As instructive examples the authors consider the massive d = 2 superparticle (p = 0) and d = 4 superstring (p = 1). The relevant world-line and world-sheet superfield actions naturally appear as along-wavelength limit of the superfield actions of some two- and four-dimensional supersymmetric fieldmore » theories possessing topologically nontrivial solliton solutions. The corresponding topological charges prove to enter the super p-brane actions as the coupling constants. The authors also give a new general Wess-Zumino-type representation of the d = 2 superparticle action via the world-line superfields. It respects invariances both under the target space Poincare supersymmetry and the gauge group of general reparametrizations of the world-line superspace. In one gauge, it is reduced to the standard PBGS form while in another, it gives rise to a very simple action which displays manifest world-line superconformal symmetry and is directly related to the familiar component action of the superparticle. The fermionic {kappa}-symmetry of the latter can be identified with the odd sector of superconformal symmetry. This identity suggests a simple recipe for building higher-order {kappa}-invariant corrections to the minimal superparticle action.« less