Determinant Representation of Correlation Functions for the Uq(gl(1∣1))U_q(gl(1|1)) Free Fermion Model

With the help of the factorizing $F$-matrix, the scalar products of the $U_q(gl(1|1))$ free fermion model are represented by determinants. By means of these results, we obtain the determinant representations of correlation functions of the model.Comment: Latex File, 20 pages, V.3: some discussions are added, V.4 Reference update, this version will appear in J. Math. Phy

Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model associated with Uq(gl(m∣n))U_q(gl(m|n))

We construct the Drinfeld twists (or factorizing $F$-matrices) of the supersymmetric model associated with quantum superalgebra $U_q(gl(m|n))$, and obtain the completely symmetric representations of the creation operators of the model in the $F$-basis provided by the $F$-matrix. As an application of our general results, we present the explicit expressions of the Bethe vectors in the $F$-basis for the $U_q(gl(2|1))$-model (the quantum t-J model).Comment: Latex file, 33 pages; V2: minor typos corrected;V3: Reference update, the new version will appear in Commun. Maths. Phys;V4: misprints correcte

Supersymmetric Vertex Models with Domain Wall Boundary Conditions

By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the $gl(1|1)$ and $gl(2|1)$ supersymmetric vertex models with domain wall boundary conditions. In the homogenous limit, these determinants degenerate to simple functions.Comment: 19 pages, 4 figures, to be published in J. Math. Phy

NETWORK EXTERNALITY ON RETAILER AND SUPPLIER PRICING STRATEGIES FOR COMPETITIVE PRODUCTS

Network externality, which affects the value of many high-tech and Internet-related products, may have a critical impact on firm strategies. This paper focuses on the strategy selection of various players in a channel structure. We design a sequential game among two suppliers and a retailer. In the developed game and model, we provide two optional strategies to the retailer, whereas suppliers can impact retailer strategies with their own pricing. We found that (direct) network externality typically had a positive effect on firms. More important, we conclude that when the degree of product network externality from a weak supplier reaches a certain scale, a relatively stable state of competition is facilitated, which is more profitable compared with a collusion strategy. Otherwise, the two suppliers can still maintain a competition relationship. However, a collusion strategy may be more profitable than competition in the second case. In this article, we recommend an acquisition strategy as a sustainable and reasonable collusion strategy

Supersymmetric vertex models with domain wall boundary conditions

Monte-Carlo simulation of domain-wall network in two-dimensional extended supersymmetric theory AIP Conf. Proc. 597, 400 (2001) By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the gl͑1 ͉ 1͒ and gl͑2 ͉ 1͒ supersymmetric vertex models with domain wall boundary conditions. In the homogeneous limit, these determinants degenerate to simple functions