Recent content by ComradeVVA

Regarding your first point, I apologize for not clarifying: I'm focused on d=0. Figured if I understand that, the periodicity will take me to any other d. I think I now understand better the connection between Kitaev's iA Hamiltonian in Majorana basis, Kitaev's X Hamiltonian in regular basis...

Thanks Kirjava! I am currently looking at a paper, http://arxiv.org/abs/1309.0878, and have always had an interested for the more abstract aspects of the topic. Your answer makes sense to me for R_2,3, but not for R_4, whose class (AII) has no particle-hole symmetry and only time reversal, yet...

Hi everybody, It's great this thread is here and hope you guys can see this beacon for help. I'm confused about what the above quote refers to in Kitaev's paper. As far as I understand, Kitaev elaborates on four cases for a generic free-fermion system for d=0, which in first-quantized form is...

This is Exer. 2.12 from Geometry, Topology, and Physics by Nakahara. He discusses tensors as maps from only one vector space V (and its dual), so it's very strange that all of a sudden we can think of f being a tensor which takes one of its (dual) vectors from another vector space. This is all I...