# Charge conjugation opearation in odd dimension

In my problem, I use the following set of $$\gamma$$-matrices (in (2+1) spacetime): $$\gamma^0=\sigma^1;\quad \gamma^{1}=i\sigma^2;\quad \gamma^{2}=i\sigma^{3},$$ where $$\sigma^{(i)}$$ are usual Pauli matrices. I would like to understand how can I construct charge conjugation matrix for given set of $$\gamma$$-matrices.

To be more concrete, I would like to understand how can I epxress positive mode solution $$\psi^{(+)}(p)$$ of Dirac equation with $$\psi^{(-)}(p)$$.

• I seem to remember this is well covered in Prof Zee's Group Nut. – Oбжорoв Apr 18 at 11:57
• Я по всей книжке посмотрел -- как-то не особо нашел – Artem Alexandrov Apr 18 at 15:33
• Please keep in mind that we expect posts and comments on this site to be in English, even if you think that the specific user at which you directed a comment also understands another language you speak. – ACuriousMind Apr 19 at 8:44
• I had look at Zee's Group Theory in a Nutshell chapter VII.5. Well covered is maybe not the right word, but isn't there enough information there to help you along. – Oбжорoв Apr 19 at 9:49
• @Oбжоров thank You som much, it was perfect ref. – Artem Alexandrov Apr 23 at 13:38