76 citations · 109 across the 8 of their papers we have counts for
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Non-Perturbative Superpotentials in Landau-Ginzburg Compactification
Hitoshi Sato
We study the Landau-Ginzburg models which correspond to Calabi-Yau four-folds. We construct the index of the typical states which correspond to toric divisors. This index shows tha…
Mirror Symmetry and the Web of Landau-Ginzburg String Vacua
Hitoshi Sato
We present some mathematical aspects of Landau-Ginzburg string vacua in terms of toric geometry. The one-to-one correspondence between toric divisors and some of (-1,1) states in L…
Dual Polyhedra, Mirror Symmetry and Landau-Ginzburg Orbifolds
Hitoshi Sato
New geometrical features of the Landau-Ginzburg orbifolds are presented, for models with a typical type of superpotential. We show the one-to-one correspondence between some of the…
The Monomial-Divisor Mirror Map for Landau-Ginzburg Orbifolds
H. Sato
We present the new explicit geometrical knowledge of the Landau-Ginzburg orbifolds, when a typical type of superpotential is considered. Relying on toric geometry, we show the one-…
On the Poincare polynomials for Landau-Ginzburg Orbifolds
Hitoshi Sato
We construct the Poincare polynomials for Landau-Ginzburg orbifolds with projection operators.Using them we show that special types of dualities including Poincare duality are real…