» » Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics) 1st edition by Huang, Yi-Zhi published by Birkhäuser [ Hardcover ]

Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics) 1st edition by Huang, Yi-Zhi published by Birkhäuser [ Hardcover ] download epub

by Yi-zhi Huang


Epub Book: 1553 kb. | Fb2 Book: 1304 kb.

Geometric vertex operator algebras. Progress in Mathematics.

Geometric vertex operator algebras.

Progress in Mathematics. By (author) Yi-Zhi Huang. Isomorphic vertex operator algebras induced from conformal maps. Appendix A. Answers to selected exercises. The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc- tures of conformal field theories. Much of the recent progress has deep connec- tions with complex analysis and conformal geometry. 5: The proof of Proposition .

Much of the recent progress has deep connec- tions with complex analysis and conformal geometry.

The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc- tures of conformal field theories.

Автор: Yi-Zhi Huang Название: Two-Dimensional Conformal Geometry and Vertex Operator Algebras Издательство .

Электронная книга "Two-Dimensional Conformal Geometry and Vertex Operator Algebras", Yi-Zhi Huang

Электронная книга "Two-Dimensional Conformal Geometry and Vertex Operator Algebras", Yi-Zhi Huang. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Two-Dimensional Conformal Geometry and Vertex Operator Algebras" для чтения в офлайн-режиме.

Author of Two-dimensional conformal geometry and vertex operator algebras, Lie algebras, vertex operator algebras . Created by an anonymous user.

Author of Two-dimensional conformal geometry and vertex operator algebras, Lie algebras, vertex operator algebras and their applications. Created April 1, 2008.

Автор: Huang Yi-Zhi Название: Two-Dimensional Conformal Geometry and Vertex Operator Algebras Издательство .

Two-Dimensional Conformal Geometry and Vertex Operator Algebras.

Yi-Zhi Huang; James Lepowsky. Vertex operator algebras are mathematically rigorous objects corresponding to chiral algebras in conformal field theory. In this paper, a reformulation of the notion of vertex operator algebra in terms of operads is presented. and the like) are always implicitly based on (one-dimensional) & geometric objects. In effect, the standard analogy between point-particle theory and string theory is being shown to manifest itself at a more fundamental mathematical level.

Vertex operator algebras are a class of algebras underlying a number of. .Vertex Operator Algebras in Mathematics and Physics.

Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understood as string-theoretic analogues of Lie algebras and of commutative associative algebras. Much recent progress in both physics and mathematics has benefited from cross-pollination between the physical and mathematical points of view. This book presents the proceedings from the workshop, Vertex Operator Algebras in Mathematics and Physics, held at The Fields Institute.

The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc­ tures of conformal field theories. Much of the recent progress has deep connec­ tions with complex analysis and conformal geometry. Future developments, especially constructions and studies of higher-genus theories, will need a solid geometric theory of vertex operator algebras. Back in 1986, Manin already observed in [Man) that the quantum theory of (super )strings existed (in some sense) in two entirely different mathematical fields. Under canonical quantization this theory appeared to a mathematician as the representation theories of the Heisenberg, Vir as oro and affine Kac­ Moody algebras and their superextensions. Quantization with the help of the Polyakov path integral led on the other hand to the analytic theory of algebraic (super ) curves and their moduli spaces, to invariants of the type of the analytic curvature, and so on. He pointed out further that establishing direct mathematical connections between these two forms of a single theory was a "big and important problem. " On the one hand, the theory of vertex operator algebras and their repre­ sentations unifies (and considerably extends) the representation theories of the Heisenberg, Virasoro and Kac-Moody algebras and their superextensions.
Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics) 1st edition by Huang, Yi-Zhi published by Birkhäuser [ Hardcover ] download epub
Mathematics
Author: Yi-zhi Huang
ISBN: 3764338296
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Birkhauser Verlag AG (May 1997)
Pages: 285 pages