| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Research Abstract |
We study the following 2 problems.
(1) We diagonalize the Hamiltonian of spin chains associated with quantum group Uq(A_2(2)), Uq(\hat{sl}(M|N)), and elliptic quantum group Uqp(\hat{sl}_N). We study XXZ chain with a triangular boundary (Uq(\hat{sl}_2) symmetry), and derive integral representations of correlation functions (Joint work with P.Baseilhac).(2) We construct a free field realization of Uq(\hat{sl}(N|1)) for an arbitrary level k ( complex number). We constructed free field realizations of screenings and vertex operators. We introduce the elliptic super-algebra Uqp(\hat{sl}(M|N)), and give a free field realization of Uqp(\hat{sl}(N|1)) for an arbitrary level k.
|
