Unitarity of rational N=2 superconformal theories

被引：27
作者：
Eholzer, W
Gaberdiel, MR
机构：
[1] Dept. Appl. Math. and Theor. Phys., University of Cambridge, Cambridge, CB3 9EW, Silver Street
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1997年 / 186卷 / 01期
关键词：
D O I：
10.1007/BF02885672
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We demonstrate that all rational models of the N = 2 super Virasoro algebra are unitary. Our arguments are based on three different methods: we determine Zhu's algebra A(H-0) (for which we give a physically motivated derivation) explicitly for certain theories, we analyse the modular properties of some of the vacuum characters, and we use the coset realisation of the algebra in terms of su(2) and two free fermions. Some of our arguments generalise to the Kazama-Suzuki models indicating that all rational N = 2 supersymmetric models might be unitary.
引用
收藏
页码：61 / 85
页数：25
相关论文
共 42 条
  • [11] Analytic expressions for singular vectors of the N=2 superconformal algebra
    Dorrzapf, M
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 180 (01) : 195 - 231
  • [12] DORRZAPF M, UNPUB EMBEDDING DIAG
  • [13] DORRZAPF M, 1995, THESIS CAMBRIDGE
  • [14] Feigin B. L., 1988, Journal of Geometry and Physics, V5, P209, DOI 10.1016/0393-0440(88)90005-8
  • [15] FUSION RULES OF CHIRAL ALGEBRAS
    GABERDIEL, M
    [J]. NUCLEAR PHYSICS B, 1994, 417 (1-2) : 130 - 150
  • [16] A rational logarithmic conformal field theory
    Gaberdiel, MR
    Kausch, HG
    [J]. PHYSICS LETTERS B, 1996, 386 (1-4) : 131 - 137
  • [17] GABERDIEL MR, 1993, INT J MOD PHYS A, V9, P4619
  • [18] GATORIVERA B, IMAFF9638
  • [19] UNITARY REPRESENTATIONS OF THE VIRASORO AND SUPER-VIRASORO ALGEBRAS
    GODDARD, P
    KENT, A
    OLIVE, D
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 103 (01) : 105 - 119
  • [20] GODDARD P, 1989, P CIRM LUMM C 1988 S
12345