Chern–Simons theory in SIM(1) superspace

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• 作者：Ji?í Vohánka ; Mir Faizal
• 刊名：The European Physical Journal C - Particles and Fields
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：75
• 期：12
• 全文大小：609 KB
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• 作者单位：Ji?í Vohánka (1)
  Mir Faizal (2)
  
  1. Department of Theoretical Physics and Astrophysics, Masaryk University, Kotlá?ská 267/2, 611 37, Brno, Czech Republic
  2. Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Quantum Field Theory
  Nuclear Physics, Heavy Ions and Hadrons
  Physics beyond the Standard Model
  Measurement Science and Instrumentation
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6052

文摘

In this paper, we will analyze a three-dimensional supersymmetric Chern–Simons theory in SIM(1) superspace formalism. The breaking of the Lorentz symmetry down to the SIM(1) symmetry breaks half the supersymmetry of the Lorentz invariant theory. So, the supersymmetry of the Lorentz invariant Chern–Simons theory with \({\mathcal {N}} =1\) supersymmetry will break down to \({\mathcal {N}}=1/2\) supersymmetry, when the Lorentz symmetry is broken down to the SIM(1) symmetry. First, we will write the Chern–Simons action using SIM(1) projections of \({\mathcal {N}} =1\) superfields. However, as the SIM(1) transformations of these projections are very complicated, we will define SIM(1) superfields which transform simply under SIM(1) transformations. We will then express the Chern–Simons action using these SIM(1) superfields. Furthermore, we will analyze the gauge symmetry of this Chern–Simons theory. This is the first time that a Chern–Simons theory with \({\mathcal {N}} =1/2\) supersymmetry will be constructed on a manifold without a boundary.