Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis

Details Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis

2002-06-09

arxiv.org/abs/math-ph/0206012v1

Physics

Mathematical Physics

16 pages

Scientific paper

We suggest a (conjectural) construction of a basis in the plus part of the affine Lie algebra of type ADE indexed by irreducible components of certain quiver varieties. This construction is closely related to a string-theoretic construction of a Lie algebra of BPS states. We then study the new combinatorial questions about the (classical) root systems naturally arising from our constructions and Lusztig's semicanonical basis.

Affiliated with

Also associated with

No associations

Rating

Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis 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 Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-186154