ar X iv : n lin / 0 00 40 13 v 1 [ nl in . S I ] 9 A pr 2 00 0 The critical A ( 1 ) n − 1 chain

ar X iv : n lin / 0 60 40 34 v 1 [ nl in . S I ] 1 7 A pr 2 00 6 Integrable inhomogeneous Lakshmanan - Myrzakulov equation

Abstract. The integrable inhomogeneous extension of the Lakshmanan-Myrzakulov equation is constructed by using the prolongation structure theory. The corresponding L-equivalent counterpart is also given, which is the (2+1)-dimensional generalized NLSE. PACS: 02.30.Ik, 02.40.Hw, 75.10.Hk

ar X iv : g r - qc / 0 40 40 40 v 1 9 A pr 2 00 4 Could the Gravitons Have Rest Masses ?

If the cosmological constant Λ can not be neglected, we will show in this short report, that graviton should have a rest mass mg = √ 2Λ = √ 2Λh̄c−1 different from zero.

ar X iv : n uc l - th / 0 50 40 62 v 1 2 1 A pr 2 00 5 1 Structure of 8 B and astrophysical S 17 factor

ar X iv : m at h - ph / 0 40 40 45 v 1 1 9 A pr 2 00 4 On the refined 3 - enumeration of alternating sign matrices

An explicit expression for the numbers A(n, r; 3) describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Stroganov for the corresponding generating function. As a result, A(n, r; 3)'s are represented as 1-fold sums which can also be written in terms of terminating 4 F 3 series of argument 1/4.

ar X iv : 0 90 2 . 10 22 v 1 [ nl in . S I ] 6 F eb 2 00 9 Wakimoto realization of the elliptic algebra U q , p ( ŝl N )

We construct a free field realization of the elliptic quantum algebra Uq,p(ŝlN ) for arbitrary level k 6= 0,−N . We study Drinfeld current and the screening current associated with Uq,p(ŝlN ) for arbitrary level k. In the limit p → 0 this realization becomes q-Wakimoto realization for Uq(ŝlN ).