Covariant derivative of Weyl spinor

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SUMMARY

The covariant derivative of a Weyl spinor is expressed under supergravity transformations in curved spacetime. The discussion emphasizes the necessity of specifying the model of supergravity being utilized to accurately define the transformation. Clarity on whether the context is curved or flat spacetime is crucial for understanding the implications of the covariant derivative in this framework.

PREREQUISITES
  • Understanding of Weyl spinors in quantum field theory
  • Familiarity with supergravity theories
  • Knowledge of covariant derivatives in differential geometry
  • Concept of curved versus flat spacetime in general relativity
NEXT STEPS
  • Research the mathematical formulation of covariant derivatives for spinors
  • Study supergravity models and their implications in theoretical physics
  • Explore the differences between curved and flat spacetime metrics
  • Investigate the role of Weyl spinors in quantum gravity theories
USEFUL FOR

The discussion is beneficial for theoretical physicists, particularly those specializing in quantum field theory, supergravity, and general relativity, as well as graduate students exploring advanced topics in these areas.

Baela
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What is the expression for the covariant derivative of a Weyl spinor?
 
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Under what transformation? Are we working in curved, or in flat space-time?
 
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malawi_glenn said:
Under what transformation? Are we working in curved, or in flat space-time?
Supergravity transformations in curved spacetime.
 
Baela said:
Supergravity transformations
In what model for supergravity?
 
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