Timeline for Simple conjecture about rational orthogonal matrices and lattices
Current License: CC BY-SA 4.0
10 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Jan 4, 2020 at 15:13 | vote | accept | Philip Boyle Smith | ||
Dec 29, 2019 at 21:44 | answer | added | Philip Boyle Smith | timeline score: 13 | |
Dec 13, 2019 at 11:52 | comment | added | Nick Gill | Thanks Philip, really interesting stuff. | |
Dec 13, 2019 at 0:33 | comment | added | Philip Boyle Smith | @NickGill In reply to your first comment, what's going on is that Dirac fermions in two dimensions can be gapped out by interactions preserving $\mathbb{Z}_2$ axial fermion parity only in multiples of 4, a story which began here. The question is a translation of this fact in which the matrix $R$ plays the role of the interactions. | |
Dec 12, 2019 at 16:13 | answer | added | Will Jagy | timeline score: 0 | |
Dec 11, 2019 at 20:31 | history | edited | Philip Boyle Smith | CC BY-SA 4.0 |
Picked a different basis for $N=4$.
|
Dec 11, 2019 at 20:03 | comment | added | Nick Gill | Sorry, probably a dumb question: the basis vectors that you list for your $N=4$ case look very similar to the basis vectors for a $C_4$ root system (see p.47 of Carter's "Simple groups of Lie type", for instance). Is this an obvious artefact of your set-up? (I don't know the theory of integral lattices so forgive me if this is obvious.) | |
Dec 11, 2019 at 19:45 | comment | added | Nick Gill | Wow! Is it possible to briefly explain a little more about how this relates to the physics? I ask not because I expect to be able to say anything useful, but because I'm very intrigued! | |
Dec 11, 2019 at 19:20 | review | First posts | |||
Dec 11, 2019 at 19:36 | |||||
Dec 11, 2019 at 19:17 | history | asked | Philip Boyle Smith | CC BY-SA 4.0 |