4
$\begingroup$

I asked the same question in mo. I think maybe here there are more physics guys to help me.

I once read a statement (not memorized precisely) that a certain physics quantity between two states of charge $d_1$ and $d_2$ respectively could be computed by running over the states of charge $d_1+d_2$ which is the extension of the original two states. Therefore we need to consider some Hall algebras on a moduli space.

I couldn't find that literature any more, so I am not sure that this statement is correct. Could anyone help me to make clear this sort of things?

My questions are:

  1. What is the basic physics setting of this story?

  2. Why is this "extension" important?

  3. If this is not correct, what is the correct statement/why do physicists care about Hall algebras?

PS: I think these questions are also related to the representations of particles, and the decomposition of particles.

Improve this question
$\endgroup$

1 Answer 1

Reset to default
1
$\begingroup$

The MathOverflow answer really is good: Harvey & Moore's papers are pretty much required reading in this subject.

Improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.