Conformal field theory and vertex operator algebras

被引：0

作者：

Runkel, Ingo ^{[1
]}

机构：

[1] Univ Hamburg, Fachbereich Math, Bundesstr 55, D-20146 Hamburg, Germany

来源：

OPERATOR ALGEBRAS AND MATHEMATICAL PHYSICS | 2019年 / 80卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this short lecture, axioms for scale covariant and for conformal field theory in two dimensions are presented, some of their consequences are explored, and the connection to Z-graded vertex algebras and to vertex operator algebras is made.

引用

页码：1 / 22

页数：22

共 50 条

[21] K-theory associated to vertex operator algebras
Dong, CY
Liu, KF
Ma, XN
Zhou, J
MATHEMATICAL RESEARCH LETTERS, 2004, 11 (5-6) : 629 - 647
[22] Jacobi trace functions in the theory of vertex operator algebras
Krauel, Matthew
Mason, Geoffrey
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2015, 9 (02) : 273 - 305
[23] Representations of vertex operator algebras over an arbitrary field
Dong, Chongying
Ren, Li
JOURNAL OF ALGEBRA, 2014, 403 : 497 - 516
[24] Quantum conformal algebras and closed conformal field theory
Anselmi, D
NUCLEAR PHYSICS B, 1999, 554 (1-2) : 415 - 436
[25] The associative algebras of conformal field theory
Brungs, D
Nahm, W
LETTERS IN MATHEMATICAL PHYSICS, 1999, 47 (04) : 379 - 383
[26] The Associative Algebras of Conformal Field Theory
David Brungs
Werner Nahm
Letters in Mathematical Physics, 1999, 47 : 379 - 383
[27] CONFORMAL FIELD THEORIES ASSOCIATED TO REGULAR CHIRAL VERTEX OPERATOR ALGEBRAS, I: THEORIES OVER THE PROJECTIVE LINE
Nagatomo, Kiyokazu
Tsuchiya, Akihiro
DUKE MATHEMATICAL JOURNAL, 2005, 128 (03) : 393 - 471
[28] On free conformal and vertex algebras
Roitman, M
JOURNAL OF ALGEBRA, 1999, 217 (02) : 496 - 527
[29] Vertex operator algebras and associative algebras
Dong, CY
Li, HS
Mason, G
JOURNAL OF ALGEBRA, 1998, 206 (01) : 67 - 96
[30] CONFORMAL ALGEBRAS, VERTEX ALGEBRAS, AND THE LOGIC OF LOCALITY
Smith, Jonathan D. H.
MATHEMATICA SLOVACA, 2016, 66 (02) : 407 - 420

← 1 2 3 4 5 →