1 edition of **Two-Dimensional Conformal Geometry and Vertex Operator Algebras** found in the catalog.

- 28 Want to read
- 16 Currently reading

Published
**1995**
by Birkhäuser Boston in Boston, MA
.

Written in English

- Mathematical physics,
- Topological groups,
- Algebra,
- Geometry,
- Mathematics,
- Algebraic Geometry,
- Operator theory

**Edition Notes**

Statement | by Yi-Zhi Huang |

Series | Progress in Mathematics -- 148, Progress in Mathematics -- 148. |

Classifications | |
---|---|

LC Classifications | QA564-609 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (XII, 280 pages). |

Number of Pages | 280 |

ID Numbers | |

Open Library | OL27093150M |

ISBN 10 | 1461242762 |

ISBN 10 | 9781461242765 |

OCLC/WorldCa | 840279640 |

Vertex Operator Algebras and the Monster by Igor Frenkel: New Vertex Operator Algebras - $ Operator and Algebras Vertex the New Igor by Monster Frenkel: Frenkel: Monster by Operator the New and Igor Vertex Algebras. Vertex Algebras for Beginners (University Lecture Series) by Victor G. Kac Vertex Algebras for - $ Vertex algebras precisely model the structure of "holomorphic one-dimensional algebra" -- in other words, the algebraic structure that you get if you try to formalize the idea of operators (elements of your algebra) living at points of a Riemann surface, and get multiplied when you collide.

Vertex Operator Algebras and the Monster, Volume (Pure and Applied Mathemati Vertex Operator Algebras $ Conformal and Geometry Two-Dimensional Vertex Huang by Algebras Operator Yi-Zhi Yi-Zhi Operator Algebras Conformal Vertex Huang and . W-algebras are associative algebras which contain the Virasoro algebra, and which play an important role in two-dimensional conformal field theory. Among W-algebras, the Virasoro algebra has the particularity of being a Lie algebra. Affine Lie algebras.

Discover Book Depository's huge selection of Yi Huang books online. Free delivery worldwide on over 20 million titles. Two-Dimensional Conformal Geometry and Vertex Operator Algebras. Yi-Zhi Huang. 15 Jul Hardback. US$ Two-Dimensional Conformal Geometry and Vertex Operator Algebras. Yi-Zhi Huang. 27 Sep Paperback. . In this exposition, I discuss several developments in the theory of vertex operator algebras, and I include motivation for the definition.

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Two-Dimensional Conformal Geometry and Vertex Operator Algebras. Authors: Huang, Yi-Zhi Free PreviewBrand: Birkhäuser Basel. Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics) - Kindle edition by Huang, Yi-Zhi.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics).Manufacturer: Birkhäuser.

Two-Dimensional Conformal Geometry and Vertex Operator Algebras. Authors (view affiliations) Yi-Zhi Huang Search within book. Front Matter. Pages i-xiii. PDF.

Introduction. Yi-Zhi Huang. Pages Yi-Zhi Huang. Pages Geometric vertex operator algebras. Yi-Zhi Huang. Pages Vertex partial operads. Yi-Zhi Huang. Pages 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 by: In this chapter we define the notion of geometric vertex operator algebra and prove that it is equivalent to that of vertex operator algebra.

In Section we discuss briefly graded vector spaces with finite-dimensional homogeneous subspaces and fix some by: 4. Get this from a library. Two-dimensional conformal geometry and vertex operator algebras. [Yi-Zhi Huang]. In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string addition to physical applications, vertex operator algebras have proven useful in purely mathematical contexts such as monstrous moonshine and the geometric Langlands correspondence.

The related notion of. Compre o livro Vertex Algebras and Algebraic Curves: Second Edition: 88 na : confira as ofertas para livros em inglês e importados Vertex Algebras and Algebraic Curves: Second Edition: 88 - Livros na Amazon Brasil- /5(1). Two-Dimensional Conformal Geometry and Vertex Operator Algebras.

Page: View: 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. For simplicity, as usual, conformal field theory means two-dimensional conformal field theory.

Vertex operator algebras arose in both physics and mathematics. For a historical discussion on vertex operator algebras, see the introduction of the book “Vertex operator algebras and the Monster” by Frenkel, Lepowsky and Meurman.

Here we start Author: Yi-Zhi Huang. PDF | In two-dimensional conformal field theory (CFT) the building blocks are given by chiral CFTs, i.e.~CFTs on the unit circle (compactified | Find, read and cite all Author: Sebastiano Carpi. Vertex Algebra emergingfrom String Theory, as the worldsheetof a string exhibits the symmetry of a two-dimensional conformal ﬁeld theory.

Seiberg and Witten [SW] then made the connection between Vertex Algebras and Connes’s Noncommutative Geometry, which can already be shown to appear when studying strings ending in by: 5. Two-Dimensional Conformal Geometry and Vertex Operator Algebras 作者: Huang, Yi-zhi 出版年: 页数: 定价: $ ISBN: 豆瓣评分.

The authors prove the associativity property of vertex algebras and give examples of the operator product expansion: the Heisenberg, Kac-Moody, and conformal vertex algebras. The mathematician reader, especially one that is working the field of algebraic geometry, will not be disappointed in this book, as the authors connect vertex algebras 5/5(1).

Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and.

[PDF] Two-Dimensional Conformal Geometry And Vertex Operator Algebras (Progress In Mathematics) - pdf download free book Two-Dimensional Conformal Geometry And Vertex Operator Algebras (Progress In Mathematics) Download PDF, PDF Two-Dimensional Conformal Geometry And Vertex Operator Algebras (Progress In Mathematics) Popular.

Vertex algebras are algebraic objects that encapsulate the concepts of vertex operators and operator product expansion from two-dimensional conformal field theory. In the fifteen years since they were introduced by R. Borcherds, vertex algebras have turned out to be extremely useful in many areas of mathematics.

This book has been cited by the following publications. Batalin-Vilkovisky algebras and two-dimensional topological field theories. Comm. Math. Phys., (2), – Ginot, Grégory.

Two-dimensional conformal geometry and vertex operator algebras. Progress in Mathematics, Vol. Boston: Cited by: The extensions of the affine vertex operator algebras and the preunitary vertex operator algebras with central charges c 〈 1 are classified.

In particular, the unitary vertex operator algebras. Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory.

Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and Reviews: 1.

This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship between vertex algebras and the geometry of moduli spaces of algebraic curves. The authors make the first steps toward reformulating the theory of vertex algebras in a way that is suitable for algebraic-geometric applications.Two-dimensional conformal geometry and vertex operator algebras, Progress in Mathematics, Vol., Birkhäuser, Boston, pages.

Genus-zero modular functors and intertwining operator algebras, Internat.$\begingroup$ Huang in his book Two-Dimensional Conformal Geometry and Vertex Operator Algebras talks about partial operads.

Those give what he calls "geometric vertex algebras". He then shows (if I remember correctly) that the category of geometric vertex algebras is equivalent to the category of vertex algebras.