Published November 6, 2009
| Version v1
Journal article
Relating Jack wavefunctions to WAk-1 theories
Creators
- 1. LPTHE, CNRS, UPMC Univ Paris 06, BoIte 126, 4 place Jussieu, F-75252 Paris Cedex 05 (France)
- 2. LPTMS, CNRS, UMR 8626, Universite Paris-Sud, Batiment 100, 91405 Orsay (France)
Description
The (k, r) admissible Jack polynomials, recently proposed as many-body wavefunctions for non-Abelian fractional quantum Hall systems, have been conjectured to be related to some correlation functions of the minimal model WAk-1(k+1,k+r) of the WAk-1 algebra. By studying the degenerate representations of this conformal field theory, we provide a proof for this conjecture.
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/42/44/445209Additional details
Identifiers
- DOI
- 10.1088/1751-8113/42/44/445209;
- PII
- S1751-8113(09)24959-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 42
- Journal Issue
- 44
- Journal Page Range
- [15 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41054184
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; CONFORMAL INVARIANCE; CORRELATION FUNCTIONS; MANY-BODY PROBLEM; POLYNOMIALS; QUANTUM FIELD THEORY; WAVE FUNCTIONS
- Descriptors DEC
- FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICS