Relating Jack Wavefunctions to WAk−1 theories
نویسندگان
چکیده
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. PACS numbers: 75.50.Lk, 05.50.+q, 64.60.Fr
منابع مشابه
JACK POLYNOMIALS AS FRACTIONAL QUANTUM HALL STATES AND THE BETTI NUMBERS OF THE (k + 1)-EQUALS IDEAL
We show that for Jack parameter α = −(k+1)/(r−1), certain Jack polynomials studied by Feigin–Jimbo–Miwa–Mukhin vanish to order r when k + 1 of the coordinates coincide. This result was conjectured by Bernevig and Haldane, who proposed that these Jack polynomials are model wavefunctions for fractional quantum Hall states. Special cases of these Jack polynomials include the wavefunctions of Laugh...
متن کاملSpectral Universality of Real Chiral Random Matrix Ensembles
We investigate the universality of microscopic eigenvalue correlations for Random Matrix Theories with the global symmetries of the QCD partition function. In this article we analyze the case of real valued chiral Random Matrix Theories (β = 1) by relating the kernel of the correlations functions for β = 1 to the kernel of chiral Random Matrix Theories with complex matrix elements (β = 2), whic...
متن کاملSpectral Universality for Real Chiral Random Matrix Ensembles
We investigate the universality of microscopic eigenvalue correlations for Random Matrix Theories with the global symmetries of the QCD partition function. In this article we analyze the case of real valued chiral Random Matrix Theories (β = 1) by relating the kernel of the correlations functions for β = 1 to the kernel of chiral Random Matrix Theories with complex matrix elements (β = 2), whic...
متن کاملThe rice wall-associated receptor-like kinase gene OsDEES1 plays a role in female gametophyte development.
The wall-associated kinase (WAK) gene family is a unique subfamily of receptor-like kinases (RLKs) in plants. WAK-RLKs play roles in cell expansion, pathogen resistance, and metal tolerance in Arabidopsis (Arabidopsis thaliana). Rice (Oryza sativa) has far more WAK-RLK genes than Arabidopsis, but the functions of rice WAK-RLKs are poorly understood. In this study, we found that one rice WAK-RLK...
متن کاملar X iv : h ep - p h / 03 06 14 6 v 1 17 J un 2 00 3 Quark Schwinger - Dyson Evaluation of the l 1 , l 2 Coefficients in the Chiral Lagrangian
Using a systematic expansion of the quark-antiquark Bethe-Salpeter wavefunctions in the relativistic quark model and working to O(P ), in the chiral limit, we are able to derive theoretical expressions relating the coefficients of the chiral lagrangian l1, l2 to the underlying quark-antiquark wavefunctions and interaction kernels. This is accomplished by using a novel technique based on a Ward ...
متن کامل