Encyclopedia of Gamma Matrix Representations?

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SUMMARY

The discussion centers on the search for gamma matrix representations, specifically in the context of 5+1 dimensional Clifford algebra. A user inquires about the possibility of selecting a representation where C=γ_0, which would simplify their algebra. Another participant suggests the Majorana representation and provides a link to a resource that, while not directly answering the question, offers a more suitable representation for their needs. The exchange highlights the challenge of finding comprehensive resources on gamma matrices.

PREREQUISITES
  • Understanding of Clifford algebra, particularly in higher dimensions.
  • Familiarity with gamma matrices and their representations.
  • Knowledge of Majorana representation in quantum mechanics.
  • Basic proficiency in mathematical notation and terminology used in theoretical physics.
NEXT STEPS
  • Research the properties and applications of Majorana representations in quantum field theory.
  • Explore comprehensive resources on gamma matrix representations across various dimensions.
  • Study the implications of different representations of Clifford algebras in theoretical physics.
  • Examine the specific characteristics of 5+1 dimensional Clifford algebra and its applications.
USEFUL FOR

The discussion is beneficial for theoretical physicists, mathematicians, and students specializing in quantum mechanics or algebra, particularly those focusing on Clifford algebras and gamma matrix representations.

EuphoGuy
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Hello, I was just curious if anyone knew of a single place with a list of many different gamma matrix representations, I haven't been able to find what I want by just searching google. In particular, I'm looking for a representation of the 5+1 dimensional Clifford algera. In other dimensions it's possible to choose a representation where C=γ_0, and I was wondering if this is possible for the 5+1 dimensional case I'm working with, as it would make my algebra much easier.

Thanks!
 
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You want a Majorana representation, right? Is http://people.maths.ox.ac.uk/daviesr/resources/notes/spinors.pdf any help?
 
Thanks, it doesn't answer my specific question, but the representation they give is a little nicer than the one I was working with anyways for my purposes. I appreciate it!
 

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