|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Superintegrability of $d$-dimensional Conformal Blocks | | Mikhail Isachenkov
; Volker Schomerus
; | | Date: |
4 Feb 2016 | | Abstract: | We observe that conformal blocks of scalar 4-point functions in a
$d$-dimensional conformal field theory can mapped to eigenfunctions of a
2-particle hyperbolic Calogero-Sutherland Hamiltonian. The latter describes two
coupled P"oschl-Teller particles. Their interaction, whose strength depends
smoothly on the dimension $d$, is known to be superintegrable. Our observation
enables us to exploit the rich mathematical literature on Calogero-Sutherland
models in deriving various results for conformal field theory. These include an
explicit construction of conformal blocks in terms of Heckman-Opdam
hypergeometric functions and a remarkable duality that relates the blocks of
theories in different dimensions. | | Source: | arXiv, 1602.1858 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER