Oscillator Construction of su(n|m) Q-Operators

Details Oscillator Construction of su(n|m) Q-Operators Oscillator Construction of su(n|m) Q-Operators

2010-12-29

arxiv.org/abs/1012.6021v2

Physics

Mathematical Physics

24 pages, 4 figures; v2: references added

Scientific paper

We generalize our recent explicit construction of the full hierarchy of Baxter Q-operators of compact spin chains with su(n) symmetry to the supersymmetric case su(n|m). The method is based on novel degenerate solutions of the graded Yang-Baxter equation, leading to an amalgam of bosonic and fermionic oscillator algebras. Our approach is fully algebraic, and leads to the exact solution of the associated compact spin chains while avoiding Bethe ansatz techniques. It furthermore elucidates the algebraic and combinatorial structures underlying the system of nested Bethe equations. Finally, our construction naturally reproduces the representation, due to Z. Tsuboi, of the hierarchy of Baxter Q-operators in terms of hypercubic Hasse diagrams.

Affiliated with

Also associated with

No associations

Rating

Oscillator Construction of su(n|m) Q-Operators 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 Oscillator Construction of su(n|m) Q-Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Oscillator Construction of su(n|m) Q-Operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-399896