Ingmar Saberi's Books

Branes and DAHA Representations

By: Sergei Gukov,Peter Koroteev,Satoshi Nawata,Du Pei,Ingmar Saberi

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Branes and DAHA Representations

By: Sergei Gukov,Peter Koroteev,Satoshi Nawata,Du Pei,Ingmar Saberi

In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is to understand rigorously the idea of quantization. The program of quantization by branes, which comes from string theory, is explored in the book. This open access book provides a detailed description of the geometric approach to the representation theory of the double affine Hecke algebra (DAHA) of rank one. Spherical DAHA is known to arise from the deformation quantization of the moduli space of SL(2,C) flat connections on the punctured torus. The authors demonstrate the study of the topological A-model on this moduli space and establish a correspondence between Lagrangian branes of the A-model and DAHA modules. The finite-dimensional DAHA representations are shown to be in one-to-one correspondence with the compact Lagrangian branes. Along the way, the authors discover new finite-dimensional indecomposable representations. They proceed to embed the A-model story in an M-theory brane construction, closely related to the one used in the 3d/3d correspondence; as a result, modular tensor categories behind particular finite-dimensional representations with PSL(2,Z) action are identified. The relationship of Coulomb branch geometry and algebras of line operators in 4d N = 2* theories to the double affine Hecke algebra is studied further by using a further connection to the fivebrane system for the class S construction. The book is targeted at experts in mathematical physics, representation theory, algebraic geometry, and string theory. This is an open access book.

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147

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Springer Nature

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ISBN 10

3031281543

ISBN 13

9783031281549

Branes and DAHA Representations

By: Sergei Gukov,Peter Koroteev,Satoshi Nawata,Du Pei,Ingmar Saberi

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Branes and DAHA Representations

By: Sergei Gukov,Peter Koroteev,Satoshi Nawata,Du Pei,Ingmar Saberi

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Page Count

147

Publisher

Springer Nature

Published Date

ISBN 10

3031281543

ISBN 13

9783031281549

Enfants du dimanche

By: Ingmar Bergman

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Enfants du dimanche

By: Ingmar Bergman

Selon une vieille croyance suédoise, celui qui naît un dimanche a le don de "seconde vue". Il voit les choses secrètes et les revenants ; il découvre les objets cachés et perce les mystères ; ses rêves, déjà, lui font connaître l'avenir : c'est un voyant. Est-il meilleur augure pour un futur grand cinéaste ? Mais d'autres aussi naissent un dimanche, le père de Poupie par exemple - Ingmar Bergman lui-même ici âgé de huit ans -, ce père pasteur, à la fois craint et détesté. Loin de les rapprocher, le don de "seconde vue", en faisant naître la foi chez le père et une vocation de cinéaste chez le fils, les sépare, et ce n'est qu'à la fin de la vie du pasteur que ces deux "enfants du dimanche" se réconcilieront. Ingmar Bergman reprend ici un bref épisode de ses Mémoires, Laterna magica, et le développe en un récit destiné à être tourné par son fils.

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Page Count

155

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Editions Gallimard

Published Date

ISBN 10

2070735818

ISBN 13

9782070735815

Book's by Ingmar Saberi

Branes and DAHA Representations

Branes and DAHA Representations

Branes and DAHA Representations

Branes and DAHA Representations

Enfants du dimanche

Enfants du dimanche

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