I am looking for a Mathematica package that can manipulate tensors for supergravity, string theory or M-theory. I am particularly looking for a package that can do spinor and Clifford algebra computations. Also, I would like this package to be able to do wedge and hodge dual, and other computation relating to forms. Can anyone suggest a specific one? I looked for atlas2, but it seems I have to pay to use it without a trial version.
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3$\begingroup$ You may also be interested in the CAS cadabra and in the ctensor package for the CAS Maxima. These are all free and open-source. $\endgroup$– user21349Commented Jul 16, 2014 at 21:07
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1$\begingroup$ You should also ask at the physics and Mathematica stackexchanges. $\endgroup$– Tom DickensCommented Jul 16, 2014 at 21:29
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You may try xact http://www.xact.es/AVF/index.html or see if http://sagemanifolds.obspm.fr/ for sage works for you.