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11 papers
Mirror Symmetry of Minimal Calabi-Yau Manifolds
Hideyuki Kawada, Takahiro Masuda, Hisao Suzuki
We perform the mirror transformations of Calabi-Yau manifolds with one moduli whose Hodge numbers are minimally small. Since the difference of Hodge numbers is t…
The Fuzzy S^4 by Quantum Deformation
S. Aoyama, T. Masuda
The fuzzy algebra of S^4 is discussed by quantum deformation. To this end we embed the classical S^4 in the Kaehler coset space SO(5)/U(2). The harmonic functions of S^4 are constr…
Fuzzy Algebrae of the General Kaehler Coset Space G/H\otimesU(1)^k
Shogo Aoyama, Takahiro Masuda
We study the fuzzy structure of the general Kaehler coset space G/S\otimes{U(1)}^k deformed by the Fedosov formalism. It is shown that the Killing potentials satisfy the fuzzy alge…
The Fuzzy Kaehler Coset Space with the Darboux Coordinates
Shogo Aoyama, Takahiro Masuda
The Fedosov deformation quantization of the symplectic manifold is determined by a 1-form differential r. We identify a class of r for which the product becomes the Moyal p…
The Fuzzy Kaehler Coset Space by the Fedosov Formalism
Shogo Aoyama, Takahiro Masuda
We discuss deformation quantization of the Kaehler coset space by using the Fedosov formalism. We show that the Killing potentials of the Kaehler coset space satisfy the fuzzy alge…
Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries in Type-II Strings
T. Masuda, H. Suzuki
We construct a bi-linear form on the periods of Calabi-Yau spaces. These are used to obtain the prepotentials around conifold singularities in type-II strings compactified on Calab…