Titlebook: Topological Field Theory, Primitive Forms and Related Topics; Masaki Kashiwara,Atsushi Matsuo,Ikuo Satake Book 1998 Springer Science+Busin

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Palliation

Book 1998elated Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world‘s leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.? .

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0743-1643 o physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structure

Ibd810

Degenerate Double Affine Hecke Algebra and Conformal Field Theory, intertwiners of . We also construct them from .(?)-modules using Knizhnik-Zamolodchikov connections in the conformai field theory. This construction provides a natural quotient of induced modules, which turns out to be the unique irreducible one under a certain condition. Some conjectural formulas

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Non-Abelian Conifold Transitions and , = 4 Dualities in Three Dimensions, transitions among compactifications of Calabi-Yau threefolds. We use this result and T-duality of a further compacitification on a circle to derive . = 4, . = 3 dual field theories. This reduces dualities for . = 4 gauge systems in three dimensions to perturbative symmetries of string theory. Moreo

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,Hodge Strings and Elements of K. Saito’s Theory of Primitive Form,n formalizes the integration over the position of the marked point procedure for computation of amplitudes. From the mathematical point of view the Hodge strings construction is just a composition of elements of harmonic theory (known among physicists as a .-part of .* equations [CV, D2]) and the K.

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