QUANTUM AFFINE SYMMETRY AS GENERALIZED SUPERSYMMETRY

被引：26

作者：

LECLAIR, A ^{[1
]}

VAFA, C ^{[1
]}

机构：

[1] HARVARD UNIV, LYMAN LAB PHYS, CAMBRIDGE, MA 02138 USA

来源：

NUCLEAR PHYSICS B | 1993年 / 401卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(93)90309-D

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The quantum affine U(q)(sl(2)) symmetry is studied when q2 is an even root of unity. The structure of this algebra allows a natural generalization of N = 2 supersymmetry algebra. In particular it is found that the momentum operators P, PBAR, and thus the hamiltonian, can be written as generalized multi-commutators, and can be viewed as new central elements of the algebra U(q)(sl(2)). We show that massive particles in (deformations of) integer spin representations of sl(2) are not allowed in such theories. Generalizations of Witten's index and Bogomolnyi bounds are presented and a preliminary attempt in constructing manifestly U(q)(sl(2)) invariant actions as generalized supersymmetric Landau-Ginzburg theories is made.

引用

页码：413 / 454

页数：42

共 41 条

[1] FRACTIONAL SUPERSYMMETRIES IN PERTURBED COSET CFTS AND INTEGRABLE SOLITON THEORY [J].