عنوان

Introduction to Vertex Operator Superalgebras and Their Modules

شابک

9789048150960

شابک

9789401590976

شماره

b408392

عنوان اصلي

Introduction to Vertex Operator Superalgebras and Their Modules

نام عام مواد

[Book]

نام نخستين پديدآور

by Xiaoping Xu.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1998.

عنوان فروست

Mathematics and Its Applications ;

مشخصه جلد

456

متن يادداشت

1 Self-Dual Codes -- 2 Self-Dual Lattices -- 3 Definitions and General Properties -- 4 Conformal Superalgebras, Affine Kac-Moody Algebras and KZ Equations -- 5 Analogue of the Highest-Weight Theory -- 6 Lattice Vertex Operator Superalgebras -- 7 VOSAs Generated by Their Subspaces of Small Weights.

بدون عنوان

0

متن يادداشت

Vertex algebra was introduced by Boreherds, and the slightly revised notion "vertex oper ator algebra" was formulated by Frenkel, Lepowsky and Meurman, in order to solve the problem of the moonshine representation of the Monster group - the largest sporadie group. On the one hand, vertex operator algebras ean be viewed as extensions of eertain infinite-dimensional Lie algebras such as affine Lie algebras and the Virasoro algebra. On the other hand, they are natural one-variable generalizations of commutative associative algebras with an identity element. In a certain sense, Lie algebras and commutative asso ciative algebras are reconciled in vertex operator algebras. Moreover, some other algebraie structures, such as integral linear lattiees, Jordan algebras and noncommutative associa tive algebras, also appear as subalgebraic structures of vertex operator algebras. The axioms of vertex operator algebra have geometrie interpretations in terms of Riemman spheres with punctures. The trace functions of a certain component of vertex operators enjoy the modular invariant properties. Vertex operator algebras appeared in physies as the fundamental algebraic structures of eonformal field theory, whieh plays an important role in string theory and statistieal meehanies. Moreover,eonformalfieldtheoryreveals animportantmathematiealproperty,the so called "mirror symmetry" among Calabi-Yau manifolds. The general correspondence between vertex operator algebras and Calabi-Yau manifolds still remains mysterious. Ever since the first book on vertex operator algebras by Frenkel, Lepowsky and Meur man was published in 1988, there has been a rapid development in vertex operator su peralgebras, which are slight generalizations of vertex operator algebras.

شماره استاندارد بين المللي کتاب و موسيقي

9789048150960

عنوان

Springer eBooks

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Computational complexity.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Quantum theory.

مستند نام اشخاص تاييد نشده

Xu, Xiaoping.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307154600.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y