Spin-2 Particles & Representations of SO(3)

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Discussion Overview

The discussion revolves around the types of particles associated with different representations of the SO(3) group, particularly focusing on spin values such as j=3/2 and j=2. Participants explore the implications of these representations in the context of particle physics, including references to specific particles like the graviton and gravitino.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about the types of particles corresponding to representations of SO(3) beyond j=1/2 and j=1, specifically questioning if j=3/2 and j=2 correspond to spin-3/2 and spin-2 particles.
  • Another participant mentions the graviton as a spin-2 particle, suggesting it must be described by a traceless symmetric tensor.
  • A different participant introduces the concept of supergravity, noting the existence of a supermultiplet that includes particles of spin 3/2 (gravitino) and spin 2 (graviton).
  • Another point raised indicates that many unstable hadrons possess spins greater than 3/2.

Areas of Agreement / Disagreement

The discussion contains multiple competing views regarding the types of particles associated with higher spins and the implications of these representations. There is no consensus on the broader implications or specific examples beyond what has been mentioned.

Contextual Notes

Participants have not fully explored the implications of their claims, and there are unresolved questions regarding the definitions and characteristics of the particles mentioned.

kexue
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What type of particles do representations of so(3) other than j=1/2 or j=1 correspond to?

For j=1/2 with have spin-half particles, for j=1 with have spin-one particles. So for j=3/2 and j=2, do we get particles with spin-3/2 and spin-2? I remember reading somewhere that spin-2 particles like the graviton must be described by a traceless symmetric tensor.

thanks
 
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Gravitino and graviton. Accounted for in a supersymmetric theory of gravity, also known as supergravity. The simplest theory assumes a supermultiplet of only 2 particles, a quanta of spin 3/2 and a quanta of spin 2.
 
A lot of unstable hadrons have spins>3/2
 

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