[GiNaC-list] antisymmetric tensor with six indices

Gilson Dallabona gilson.dallabona at gmail.com
Sat Oct 29 20:26:21 CEST 2011


Hello everyone,
I'm trying to define a completely antisymmetric tensor with six
indices, the Levi-Civita tensor in six dimensions, but without
success.
I followed the instructions of the manual but did not work.
I tried the following:
int main()
{
   varidx xi_1(symbol("\\xi_1"),6), xi_2(symbol("\\xi_2"),6),
xi_3(symbol("\\xi_3"),6), xi_4(symbol("\\xi_4"),6),
            xi_5(symbol("\\xi_5"),6), xi_6(symbol("\\xi_6"),6);
   symbol epsilon("varepsilon");

   ex gamma_7 =  indexed(epsilon, sy_anti(0,1,2,3).add(4).add(5),
xi_1, xi_2, xi_3, xi_4, xi_5, xi_6)

*dirac_gamma(xi_1.toggle_variance())*dirac_gamma(xi_2.toggle_variance())

*dirac_gamma(xi_3.toggle_variance())*dirac_gamma(xi_4.toggle_variance())

*dirac_gamma(xi_5.toggle_variance())*dirac_gamma(xi_6.toggle_variance());

    return 0;
}


Anyone have any tips?

Best regards,

Gilson.


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