SPINON BASES, YANGIAN SYMMETRY AND FERMIONIC REPRESENTATIONS OF VIRASORO CHARACTERS IN CONFORMAL FIELD-THEORY

被引：69

作者：

BOUWKNEGT, P ^{[1
]}

LUDWIG, AWW ^{[1
]}

SCHOUTENS, K ^{[1
]}

机构：

[1] PRINCETON UNIV,JOSEPH HENRY LABS,PRINCETON,NJ 08544

来源：

PHYSICS LETTERS B | 1994年 / 338卷 / 04期

关键词：

D O I：

10.1016/0370-2693(94)90799-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the description of the SU(2), level k = 1, Wess-Zumino-Witten conformal field theory in terms of the modes of the spin-1/2 affine primary field phi(alpha). These are shown to satisfy generalized 'canonical commutation relations', which we use to construct a basis of Hilbert space in terms of representations of the Yangian Y(sl2). Using this description, we explicitly derive so-called 'fermionic representations' of the Virasoro characters, which were first conjectured by R. Kedem, T. Klassen, B. McCoy and E. Melzer [Phys. Lett. B 307 (1993) 68, and references therein]. We point out that similar results are expected for a wide class of rational conformal field theories.

引用

页码：448 / 456

页数：9