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Internal supersymmetry and unification.

Y Ne'eman1, S Sternberg

  • 1Tel Aviv University, Tel Aviv, Israel.

Proceedings of the National Academy of Sciences of the United States of America
|June 1, 1980
PubMed
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This study constructs particle models using superalgebra representations, revealing two specific parameter choices that precisely generate all 32 quark and lepton charges. These findings offer a general method for representing particle generations.

Area of Science:

  • Mathematical Physics
  • High Energy Physics

Background:

  • Superalgebraic representations are crucial for theoretical physics models.
  • Understanding particle charges requires specific algebraic structures.

Purpose of the Study:

  • To construct finite-dimensional representations of the superalgebra sl(n/m).
  • To model elementary particles and their charges using these representations.
  • To identify parameter choices that yield known quark and lepton charges.

Main Methods:

  • Constructing representations of sl(n/m) superalgebras.
  • Defining particle models based on commuting operators for weak isospin (I(3)) and hypercharge (U).
  • Applying the electric charge formula Q = I(3) + (1/2)U.

Main Results:

Related Experiment Videos

  • Developed representations dependent on integer or complex parameters.
  • Identified two specific parameter sets for sl(n/1) that exactly reproduce all 32 quark and lepton charges.
  • Demonstrated a general construction for sl(n/1) representations yielding particle generations.

Conclusions:

  • The superalgebra sl(n/1) provides a framework for generating particle generations.
  • Specific choices of weak isospin and hypercharge operators within this framework precisely account for observed particle charges.
  • This work offers a unified approach to particle charge quantization.