256 citations · 684 across the 40 of their papers we have counts for
41 papers
Fermat Surface and Group Theory in Symmetry of Rapidity Family in Chiral Potts Model
Shi-shyr Roan
The present paper discusses various mathematical aspects about the rapidity symmetry in chiral Potts model (CPM) in the context of algebraic geometry and group theory . We re-analy…
Quantum Group Theory in -model, Duality of -model and XXZ-model with Cyclic -representation for , and Chiral Potts Model
Shi-shyr Roan
We identify the quantum group ${\Large\textsl{U}}_\textsl{w}(sl_2)$ in the -operator of -model for a generic $\textsl{w}$ as a subalgebra of with $\t…
Toric Representation and Positive Cone of Picard Group and Deformation Space in Mirror Symmetry of Calabi-Yau Hypersurfaces in Toric Varieties
Shi-shyr Roan
We derive the combinatorial representations of Picard group and deformation space of anti-canonical hypersurfaces of a toric variety using techniques in toric geometry. The mirror…
Picard Groups of Hypersurfaces in Toric Varieties
Shi-shyr Roan
We study the structure of rational Picard groups of hypersurfaces of toric varieties. By using the fan structure associated to the ambient toric variety, an explicit basis of the P…
Eigenvectors of an Arbitrary Onsager Sector in Superintegrable -model and Chiral Potts Model
Shi-shyr Roan
We study the eigenvector problem in homogeneous superintegrable -state chiral Potts model (CPM) by the symmetry principal. Using duality symmetry and (spin-)inversion in CPM, to…
Duality and Symmetry in Chiral Potts Model
Shi-shyr Roan
We discover an Ising-type duality in the general -state chiral Potts model, which is the Kramers-Wannier duality of planar Ising model when N=2. This duality relates the spectru…