Very Special Relativity

Abstract

By Very Special Relativity (VSR) we mean descriptions of nature whose space-time symmetries are certain proper subgroups of the Poincaré group. These subgroups contain space-time translations together with at least a 2-parameter subgroup of the Lorentz group isomorphic to that generated by $K_x+J_y$ and $K_y-J_x$. We find that VSR implies special relativity (SR) in the context of local quantum field theory or of CP conservation. Absent both of these added hypotheses, VSR provides a simulacrum of SR for which most of the consequences of Lorentz invariance remain wholly or essentially intact, and for which many sensitive searches for departures from Lorentz invariance must fail. Several feasible experiments are discussed for which Lorentz-violating effects in VSR may be detectable.

3 pages, revtex

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• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• High-Energy Tests of Lorentz Invariance
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Cited by in corpus (235)

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• The theory of local mass dimension one fermions of spin one half
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• A Realization of the Cohen-Glashow Very Special Relativity
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• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
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• Aspects of Infrared Modifications of Gravity
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• Very Special Conformal Field Theories (VSCFT) and their holographic duals
• Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
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• Quantum Gauge Freedom in Very Special Relativity
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• On skewon modification of light cone structure
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• Quantum Field Theory of Space-like Neutrino
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• Lorentz Violation and Superpartner Masses
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Mass dimension one fermions and their gravitational interaction
• On the axial anomaly in Very Special Relativity
• Renormalization of Very Special Relativity gauge theories
• The Finsler spacetime condition for (α,β)-metrics and their isometries
• On the metrizability of $m$-Kropina spaces with closed null 1-form
• Hidden symmetries from distortions of the conformal structure
• Lorentz Violation in Finsler Geometry
• Thermal effects of Very Special Relativity Quantum Electrodynamics
• Tree-level processes in very special relativity
• Lorentz breaking Effective Field Theory and observational tests
• Effect of VSR invariant Chern-Simon Lagrangian on photon polarization
• Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
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• SIM(2) and Superspace
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• Carroll spinors
• Photon propagator in skewon electrodynamics
• Hidden Symmetries in Deformed Very Special Relativity
• Induced non-Abelian Chern-Simons effective action in very special relativity
• Trajectories of astroparticles in pseudo-Finsler spacetime with the most general modified dispersion
• Finite BRST Mapping in Higher Derivative Models
• Finsler space-time in light of Segal's principle
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• Unitarity and non-relativistic potential energy in a higher-order Lorentz symmetry breaking electromagnetic model
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• On Finslerian extension of special relativity
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