So I see the terms "selfdual" and "anti selfdual" appear routinely in supergravity/string thery, e.g. the fact that Type IIB supergravity contains a real selfdual rank5 antisymmetric tensor $F_{\hat{\mu}_1, \ldots, \hat{\mu}_5}$ (hats denote 10 dimensional indices). I have also read that these things are important in studying Type IIB supergravity on $S^5$.

What is the physical implication of selfduality, or antiselfduality?

What is the connection to group theory (where sometimes you have to include a factor of 1/2 in counting the dimensions of irreducible representations in the Young Tableaux, when you encounter selfdual or antiself dual tensors)?
This post imported from StackExchange Physics at 20150510 11:27 (UTC), posted by SEuser leastaction