Spinons in conformal field theory

D. Bernard; V. Pasquier; D. Serban

doi:10.1016/0550-3213(94)90366-2

Spinons in conformal field theory

D. Bernard, V. Pasquier, D. Serban

Institut de Physique Théorique

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	612-628
Number of pages	17
Journal	Nuclear Physics B
Volume	428
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(94)90366-2
Publication status	Published - 17 Oct 1994
Externally published	Yes

Access to Document

10.1016/0550-3213(94)90366-2

Cite this

@article{df50da25bdf24c86b534aced701304ec,

title = "Spinons in conformal field theory",

abstract = "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.",

author = "D. Bernard and V. Pasquier and D. Serban",

year = "1994",

month = oct,

day = "17",

doi = "10.1016/0550-3213(94)90366-2",

language = "English",

volume = "428",

pages = "612--628",

journal = "Nuclear Physics B",

issn = "0550-3213",

number = "3",

}

TY - JOUR

T1 - Spinons in conformal field theory

AU - Bernard, D.

AU - Pasquier, V.

AU - Serban, D.

PY - 1994/10/17

Y1 - 1994/10/17

N2 - 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.

AB - 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.

U2 - 10.1016/0550-3213(94)90366-2

DO - 10.1016/0550-3213(94)90366-2

M3 - Article

AN - SCOPUS:0000653459

SN - 0550-3213

VL - 428

SP - 612

EP - 628

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Spinons in conformal field theory

Abstract

Access to Document

Fingerprint

Cite this