An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts by Candelas, P, Constantin, A, Skarke, H

Toric geometry and dualities of string theory by Candelas, P

“…The right hand side of these identities can, in many cases, be related to reflexive polyhedra so are would expect the left hand side to have also a natural interpretation in these terms. …”

Toric geometry and dualities of string theory by Candelas, P

“…The right hand side of these identities can, in many cases, be related to reflexive polyhedra so we would expect the left hand side to have also a natural interpretation in these terms. …”

Duality Between the Webs of Heterotic and Type II Vacua by Candelas, P, Font, A

“…We observe that perturbative symmetry restoration, as well as non-perturbative processes such as changes in the number of tensor multiplets, have at least in many cases a simple description in terms of the reflexive polyhedra of the Calabi-Yau manifolds. Our results suggest that to many, perhaps all, four-dimensional N=2 heterotic vacua there are corresponding type II vacua.…”

On the Connectedness of the Moduli Space of Calabi--Yau Manifolds by Avram, A, Candelas, P, Jancic, D, Mandelberg, M

“…This is achieved by exploiting techniques of toric geometry and the construction of Batyrev that relate Calabi-Yau manifolds to reflexive polyhedra. Taken together with the previously known fact that the moduli space of all CICY's is connected, and is moreover connected to the moduli space of the present class of Calabi-Yau manifolds (since the quintic threefold P_4[5] is both CICY and a hypersurface in a weighted P_4, this strongly suggests that the moduli space of all simply connected Calabi-Yau manifolds is connected. …”

Toric Calabi-Yau Fourfolds, Duality Between N=1 Theories and Divisors that Contribute to the Superpotential by Braun, V, Candelas, P, Ossa, X, Grassi, A

“…We discuss principally fourfolds that are described by reflexive polyhedra and show how to read off some of the data for the heterotic theory from the polyhedron. …”