Solutions to the XXX type Bethe ansatz equations and flag varieties

Details Solutions to the XXX type Bethe ansatz equations and flag varieties Solutions to the XXX type Bethe ansatz equations and flag varieties

2002-11-20

arxiv.org/abs/math/0211321v1

Mathematics

Quantum Algebra

Latex, 32 pages

Scientific paper

We consider a version of the A_N Bethe equation of XXX type and introduce a reproduction procedure constructing new solutions of this equation from a given one. The set of all solutions obtained from a given one is called a population. We show that a population is isomorphic to the sl_{N+1} flag variety and that the populations are in one-to-one correspondence with intersection points of suitable Schubert cycles in a Grassmanian variety. We also obtain similar results for the root systems B_N and C_N. Populations of B_N and C_N type are isomorphic to the flag varieties of C_N and B_N types respectively.

Affiliated with

Also associated with

No associations

Rating

Solutions to the XXX type Bethe ansatz equations and flag varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Solutions to the XXX type Bethe ansatz equations and flag varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solutions to the XXX type Bethe ansatz equations and flag varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55500