A Chern-Simons effective field theory for the Pfaffian quantum Hall state

被引：200

作者：

Fradkin, E

Nayak, C

Tsvelik, A

Wilczek, F

机构：

[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

[2] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA

[3] Univ Oxford, Dept Theoret Phys, Oxford OX1 3NP, England

[4] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

来源：

NUCLEAR PHYSICS B | 1998年 / 516卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0550-3213(98)00111-4

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：

We present a low-energy effective field theory describing the universality class of the Pfaffian quantum Hall state. To arrive at this theory, we observe that the edge theory of the Pfaffian state of bosons at v = 1 is an SU(2)(2) Kac-Moody algebra. It follows that the corresponding bulk effective field theory is an SU(2) Chern-Simons theory with coupling constant k = 2, The effective field theories for other Pfaffian states, such as the fermionic one at v = 1/2 are obtained by a flux-attachment procedure. We discuss the non-Abelian statistics of quasiparticles in the context of this effective field theory. (C) 1998 Elsevier Science B.V.

引用

页码：704 / 718

页数：15

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