How to build supersymmetry lagrangians

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SUMMARY

This discussion focuses on constructing supersymmetry (SUSY) Lagrangians using chiral and vector superfields. The process involves building invariants that lead to SUSY Lagrangians, which, upon decomposition, yield ordinary quantum electrodynamics (QED) along with additional terms, termed SUSY-QED. A participant seeks guidance on extending a toy Lagrangian of ordinary fields to its SUSY counterpart, specifically how to achieve this transformation effectively.

PREREQUISITES
  • Understanding of chiral superfields and vector superfields in SUSY theory.
  • Familiarity with Lagrangian mechanics and field theory.
  • Knowledge of quantum electrodynamics (QED) and its mathematical formulation.
  • Concept of superspace and its application in SUSY actions.
NEXT STEPS
  • Research the construction of SUSY Lagrangians using chiral and vector superfields.
  • Study the process of decomposing SUSY Lagrangians into ordinary fields, focusing on F and D terms.
  • Explore the formalism of superspace and its role in defining SUSY actions.
  • Examine existing literature on SUSY extensions of classical Lagrangians for practical examples.
USEFUL FOR

The discussion is beneficial for theoretical physicists, particularly those specializing in supersymmetry, field theory researchers, and graduate students seeking to deepen their understanding of SUSY Lagrangians and their applications.

Neitrino
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Hi,

In SUSY we introduce chiral superfield, vector superfield, then build some invariants and get the SUSY lagrangians which after decomposition into normal fields (F and D terms) gives us for example ordinary QED plus some other terms. And we call this SUSY-QED.

I have following question suppose i have some toy lagrangian of ordinary fields and I want to have its SUSY extension (when I "decompose" SUSY lagrangian I want to get my toy lagrangian) could you pls advise on this issue how should this procedure run ? or any references ?

Thank you very much
 
Physics news on Phys.org
How about trying to promote your non-SUSY independent variables to be functions on superspace, and then try to construct your SUSY action using that formalism?
 

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