| Title:
|
Tree algebras: An algebraic axiomatization of intertwining vertex operators (English) |
| Author:
|
Kriz, Igor |
| Author:
|
Xiu, Yang |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
5 |
| Year:
|
2012 |
| Pages:
|
353-370 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe a completely algebraic axiom system for intertwining operators of vertex algebra modules, using algebraic flat connections, thus formulating the concept of a tree algebra. Using the Riemann-Hilbert correspondence, we further prove that a vertex tensor category in the sense of Huang and Lepowsky gives rise to a tree algebra over $\mathbb{C}$. We also show that the chiral WZW model of a simply connected simple compact Lie group gives rise to a tree algebra over $\mathbb{Q}$. (English) |
| Keyword:
|
vertex algebra |
| Keyword:
|
Riemann-Hilbert correspondence |
| Keyword:
|
D-module |
| Keyword:
|
KZ-equations |
| Keyword:
|
WZW-model |
| MSC:
|
17B69 |
| MSC:
|
35Q15 |
| MSC:
|
81T40 |
| idMR:
|
MR3007618 |
| DOI:
|
10.5817/AM2012-5-353 |
| . |
| Date available:
|
2012-12-17T14:01:18Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143111 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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