Hi every body
I want to known the different form of gamma matrices of majorana equation in different dimensions of space (D=1,2,3)
thank you very much
I'd suggest Siegel's books, ``Fields'', http://insti.physics.sunysb.edu/~siegel/errata.html or ``Superspace'',http://arxiv.org/abs/hep-th/0108200; or any other textbook in field theory.
If you want to have Majorana spinors, you have to find a representation of the Clifford algebra where all matrices are real. That is not always possible but depends on the dimension and the signature. A good reference is http://www.maths.ed.ac.uk/~jmf/Teaching/Lectures/Majorana.pdf
See in particular tables 6 and 7.
http://www.maths.ed.ac.uk/~jmf/Teaching/Lectures/Majorana.pdf
In D=2 we can use e.g. $\gamma^0=\begin{pmatrix}0&-i\\i&0\end{pmatrix}$, $\gamma^1=\begin{pmatrix}0&i\\i&0\end{pmatrix}$ (in the signature 1,-1). The extra matrix $\gamma^3=\gamma^0\gamma^1=\being{pmatrix}1&0\\0&-1\end{pmatrix}$.