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Two-Dimensional Conformal Geometry and Vertex Operator Algebras
Language: en
Pages: 289
Authors: Yi-Zhi Huang
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the underst
Vertex Algebras and Algebraic Curves
Language: en
Pages: 418
Authors: Edward Frenkel
Categories: Mathematics
Type: BOOK - Published: 2004-08-25 - Publisher: American Mathematical Soc.

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Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras ar
From Vertex Operator Algebras to Conformal Nets and Back
Language: en
Pages: 85
Authors: Sebastiano Carpi
Categories: Conformal invariants
Type: BOOK - Published: 2018-08-09 - Publisher: American Mathematical Soc.

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The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them st
Vertex Operator Algebras in Mathematics and Physics
Language: en
Pages: 268
Authors: Stephen Berman
Categories: Mathematics
Type: BOOK - Published: - Publisher: American Mathematical Soc.

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Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understo
Vertex Algebras for Beginners
Language: en
Pages: 209
Authors: Victor G. Kac
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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Based on courses given by the author at MIT and at Rome University in spring 1997, this book presents an introduction to algebraic aspects of conformal field th