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Space-time Schrödinger symmetries of a post-Galilean particle [PDF]
We study the space-time symmetries of the actions obtained by expanding the action for a massive free relativistic particle around the Galilean action [1]. We obtain all the point space-time symmetries of the post-Galilean actions by working in canonical
Carles Batlle, Joaquim Gomis
doaj +4 more sources
Global symmetries of noncommutative space-time [PDF]
7 pages, no figures; minor changes in the bibliography; final version accepted for publication in Phys.
Cezary Gonera, P Maślanka
exaly +3 more sources
Tunable transport with broken space–time symmetries [PDF]
Transport properties of particles and waves in spatially periodic structures that are driven by external time-dependent forces manifestly depend on the space-time symmetries of the corresponding equations of motion. A systematic analysis of these symmetries uncovers the conditions necessary for obtaining directed transport.
Peter Hänggi +2 more
exaly +5 more sources
Dyson’s classification and real division superalgebras
It is well-known that unitary irreducible representations of groups can be usefully classified in a 3-fold classification scheme: Real, Complex, Quaternionic.
Roman Geiko, Gregory W. Moore
doaj +1 more source
Carroll/fracton particles and their correspondence
We exploit the close relationship between the Carroll and fracton/dipole algebras, together with the method of coadjoint orbits, to define and classify classical Carroll and fracton particles.
José Figueroa-O’Farrill +2 more
doaj +1 more source
Quantum Carroll/fracton particles
We classify and relate unitary irreducible representations (UIRs) of the Carroll and dipole groups, i.e., we define elementary quantum Carroll and fracton particles and establish a correspondence between them.
José Figueroa-O’Farrill +2 more
doaj +1 more source
Colourful Poincaré symmetry, gravity and particle actions
We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of ...
Joaquim Gomis +3 more
doaj +1 more source
A particle model with extra dimensions from coadjoint Poincaré symmetry
Starting from the coadjoint Poincaré algebra we construct a point particle relativistic model with an interpretation in terms of extra-dimensional variables.
Andrea Barducci +2 more
doaj +1 more source
Linearized off-shell 4+7 supergeometry of 11D supergravity
We describe the linearized supergeometry of eleven dimensional supergravity with four off-shell local supersymmetries. We start with a background Minkowski 11D, N=1 superspace, and an additional ingredient of a global, constant, G 2-structure which ...
Katrin Becker +2 more
doaj +1 more source
Tensors and spinors in de Sitter space
We construct the Wightman function for symmetric traceless tensors and Dirac fermions in dS d+1 in a coordinate and index free formalism using a d + 2 dimensional ambient space. We expand the embedding space formalism to cover spinor and tensor fields in
Ben Pethybridge, Vladimir Schaub
doaj +1 more source

