Dynamics of (SUSY) AdS Space Isometry Breaking

Abstract

Actions governing the dynamics of the Nambu-Goldstone modes resulting from the spontaneous breaking of the SO(4,2) and $SU(2,2|1)$ isometries of five dimensional anti-de Sitter space ($Ad{S}_5$) and SUSY $Ad{S}_5\times S_1$ spaces respectively due to a restriction of the motion to embedded four dimensional $Ad{S}_4$ space and four dimensional Minkowski space ($M_4$) probe branes are presented. The dilatonic Nambu-Goldstone mode governing the motion of the $M_4$ space probe brane into the covolume of the SUSY $Ad{S}_5\times S_1$ space is found to be unstable. No such instablility appears in the other cases. Gauging these symmetries leads to an Einstein-Hilbert action containing, in addition to the gravitational vierbein, a massive Abelian vector field coupled to gravity.

6 pages, 0 figures, to appear in Proceedings of IRGAC 2006: 2nd International Conference on Quantum Theories and Renormalization Group in Gravity and Cosmology, Barcelona

References in corpus (21)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Locally Localized Gravity
• Localized Gravity in String Theory
• Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space
• AdS/CFT Equivalence Transformation
• Mass and Gauge Invariance IV (Holography for the Karch-Randall Model)
• Higgs Phenomenon for the Graviton in Ads Space
• Goldstino Couplings to Matter
• On the Interactions of Light Gravitinos
• Absence of a VVDZ Discontinuity in AdS_AdS
• Partial Supersymmetry Breaking and AdS4 Supermembrane
• Higher dimensional gravity invariant under the AdS group
• AdS_{d+1} --> AdS_d
• Goldstone multiplet for partially broken superconformal symmetry
• Higher dimensional gravity invariant under the Poincare group
• Nonlinear Realization of Supersymmetry and Superconformal Symmetry
• Incompatibility of simultaneous non-linear realizations of scale symmetry and supersymmetry
• Nonlinear realization of local symmetries of AdS space
• Nonlinear Realization of Supersymmetric AdS Space Isometries
• Nonlinear Realizations of Supersymmetry and Other Symmetries

Cited by in corpus (6)

• Colliders and Brane Vector Phenomenology
• Brane Vector Phenomenology
• Oscillating p-Branes
• Brane Vector Dynamics from Embedding Geometry
• Higgs Decays and Brane Gravi-vectors
• Fermionic Shift Symmetries in (Anti) de Sitter Space