Diffeomorphism, kappa transformations and the theory of non-linear realisations

2006/07/31 by Joaquim Gomis, Kiyoshi Kamimura, Peter West · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Kappa #Line (geometry) #Lorentz covariance #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Point (geometry) #Real line #Set (abstract data type) #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/10/015

published as JHEP0610:015,2006 · 19pages, no figure. References are added and typos are corrected

arxiv created 2006/09/11 · openalex publication_date 2006/10/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We will show how the theory of non-linear realisations can be used to naturally incorporate world line diffeomorphisms and kappa transformations for the point particle and superpoint particle respectively. Similar results also hold for a general p-brane and super p-brane, however, we must in these cases include an additional Lorentz transformation.

Citations

• World-volume action of the M-theory five-brane
• Partial breaking of N=1, D=10 supersymmetry
• Super D-branes
• Is theρMeson a Dynamical Gauge Boson of Hidden Local Symmetry?
• Covariant field equations of the M-theory five-brane
• Non-Relativistic Superbranes
• E11origin of Brane charges and U-duality multiplets
• Supermembranes and eleven-dimensional supergravity
• Structure of Phenomenological Lagrangians. I
• Nonlinear Realizations of Chiral Symmetry
• Structure of Phenomenological Lagrangians. II

Cited by

• The construction of brane and superbrane actions using nonlinear realizations