Tachyons in the Galilean limit

Abstract

The Souriau massless Galilean particle of "colour" $k$ and spin $s$ is shown to be the Galilean limit of the Souriau tachyon of mass $m=ik$ and spin $s$. We compare and contrast this result with the recent Galilean limit of the Nambu-Goto string and the Green-Schwarz superstring.

9 pages. v3 incorporates minor corrections and clarifications to v2, to accord with published version

References in corpus (4)

• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Extended Galilean symmetries of non-relativistic strings
• The Galilean Superstring
• Massive twistor particle with spin generated by Souriau-Wess-Zumino term and its quantization

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• Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory
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• VSUSY models with Carroll or Galilei invariance
• Worldsheet Formalism for Decoupling Limits in String Theory
• Carroll versus Galilei from a Brane Perspective
• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
• Canonical Analysis of Non-Relativistic Particle and Superparticle
• Remark About Non-Relativistic p-Brane
• Contractions of the Maxwell algebra
• Fracton and Non-Lorentzian Particle Duality: Gauge Field Couplings and Geometric Implications
• Fate of $\kappa$-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes
• A non-lorentzian primer