Spinons in Conformal Field Theory
نویسندگان
چکیده
We study the su(2) conformal field theory in its spinon description, adapted to the Yangian invariance. By evaluating the action of the Yangian generators on the primary fields, we find a new connection between this conformal field theory and the Calogero-Sutherland model with su(2) spin. We use this connection to describe how the spinons are the quasi-particles spanning the irreducible Yangian multiplet, and also to exhibit operators creating the N-spinon highest weight vectors.
منابع مشابه
v 3 1 7 M ar 1 99 9 Exclusion Statistics in Conformal Field Theory – generalized fermions and spinons for level - 1 WZW theories –
We systematically study the exclusion statistics for quasi-particles for Conformal Field Theory spectra by employing a method based on recursion relations for truncated spectra. Our examples include generalized fermions in cCFT < 1 unitary minimal models, Zk parafermions, and spinons for the su(n)1, so(n)1 and sp(2n)1 Wess-Zumino-Witten models. For some of the latter examples we present explici...
متن کامل/ 98 10 11 3 v 2 2 7 O ct 1 99 8 Exclusion Statistics in Conformal Field Theory – generalized fermions and spinons for level - 1 WZW theories –
We systematically study the exclusion statistics for quasi-particles for Conformal Field Theory spectra by employing a method based on recursion relations for truncated spectra. Our examples include generalized fermions in cCFT < 1 unitary minimal models, Zk parafermions, and spinons for the su(n)1, so(n)1 and sp(2n)1 Wess-Zumino-Witten models. For some of the latter examples we present explici...
متن کاملX iv : h ep - t h / 98 10 11 3 v 1 1 5 O ct 1 99 8 Exclusion Statistics in Conformal Field Theory – generalized fermions and spinons for level - 1 WZW theories –
We systematically study the exclusion statistics for quasi-particles for Conformal Field Theory spectra by employing a method based on recursion relations for truncated spectra. Our examples include generalized fermions in cCFT < 1 unitary minimal models, Zk parafermions, and spinons for the su(n)1, so(n)1 and sp(2n)1 Wess-Zumino-Witten models. For some of the latter examples we present explici...
متن کاملOn thermodynamic approaches to conformal field theory
We present the thermodynamic Bethe ansatz as a way to factorize the partition function of a 2d field theory, in particular, a conformal field theory and we compare it with another approach to factorization due to K. Schoutens which consists of diagonalizing matrix recursion relations between the partition functions at consecutive levels. We prove that both are equivalent, taking as examples the...
متن کاملDEVELOPMENT IN STRING THEORY
The string theory is a fast moving subject, both physics wise and in the respect of mathematics. In order to keep up with the discipline it is important to move with new ideas which are being stressed. Here I wish to give extracts from new papers of ideas which I have recently found interesting. There are six papers which are involved: I ."Strings formulated directly in 4 dimensions " A. N...
متن کامل