Chern-Simons action for zero-mode supporting gauge fields in three dimensions

被引:2
|
作者
Adam, C [1 ]
Muratori, B
Nash, C
机构
[1] Univ Vienna, Inst Math, Wolfgang Pauli Inst, A-1090 Vienna, Austria
[2] CERN, SL AP Div, CH-1211 Geneva, Switzerland
[3] Natl Univ Ireland, Dept Math Phys, Maynooth, Kildare, Ireland
来源
PHYSICAL REVIEW D | 2003年 / 67卷 / 08期
关键词
D O I
10.1103/PhysRevD.67.087703
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Recent results on zero modes of the Abelian Dirac operator in three dimensions support to some degree the conjecture that the Chern-Simons action admits only certain quantized values for gauge fields that lead to zero modes of the corresponding Dirac operator. Here we show that this conjecture is wrong by constructing an explicit counterexample.
引用
收藏
页数:3
相关论文
共 50 条
  • [31] CHERN-SIMONS THEORY WITH FINITE GAUGE GROUP
    FREED, DS
    QUINN, F
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 156 (03) : 435 - 472
  • [32] Mirror maps in Chern-Simons gauge theory
    Cooper, L
    Kogan, II
    Szabo, RJ
    ANNALS OF PHYSICS, 1998, 268 (01) : 61 - 104
  • [33] Superconductivity in mutual Chern-Simons gauge theory
    Ye, Peng
    Zhang, Long
    Weng, Zheng-Yu
    PHYSICAL REVIEW B, 2012, 85 (20):
  • [34] Chern-Simons branes with enhanced gauge invariance
    Pablo Mora
    Journal of High Energy Physics, 2023
  • [35] Notes on Chern-Simons Theory in the Temporal Gauge
    Smirnov, Andrey
    MOST UNEXPECTED AT LHC AND THE STATUS OF HIGH ENERGY FRONTIER, 2012, 47 : 489 - 498
  • [36] Chern-Simons branes with enhanced gauge invariance
    Mora, Pablo
    JOURNAL OF HIGH ENERGY PHYSICS, 2023, 2023 (07)
  • [37] Abelian Chern-Simons gauge theory on the lattice
    Zhang, Bingnan
    PHYSICAL REVIEW D, 2022, 105 (01)
  • [38] HYDRODYNAMIC LIMITS OF THE NONLINEAR SCHRO•DINGER EQUATION WITH THE CHERN-SIMONS GAUGE FIELDS
    Kim, Jeongho
    Moon, Bora
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (06) : 2541 - 2561
  • [39] BRST FORMULATION OF CHERN-SIMONS GAUGE-THEORY COUPLED TO MATTER FIELDS
    SHIN, HJ
    KIM, WT
    KIM, JK
    PARK, YJ
    PHYSICAL REVIEW D, 1992, 46 (06): : 2730 - 2733
  • [40] Supergravity-matter actions in three dimensions and Chern-Simons terms
    Sergei M. Kuzenko
    Joseph Novak
    Journal of High Energy Physics, 2014