Self-dual solitons in N=2 supersymmetric Chern-Simons gauge theory

Journal Article · Mon Dec 01 00:00:00 EST 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532208· OSTI ID:552981

Fuertes, W G ^[1]; Guilarte, J M ^[2]

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1. Departamento de Fisica, Facultad de Ciencias, Universidad de Oviedo (Spain)
2. Departamento de Fisica, Facultad de Ciencias, Universidad de Salamanca (Spain)

The low energy effective theory of planar QED with a non-local four-fermion interaction including Gross{endash}Neveu and Thirring terms is shown to be equivalent to a Chern{endash}Simons{endash}Higgs model of special characteristics. We study the restrictions imposed by self-duality and supersymmetry, finding in both cases a plethora of (some new) topological and non-topological solitons. The non-relativistic limit of our model generalizes the effective Ginzburg{endash}Landau theory for the fractional quantum Hall effect such that our solitons would be the relativistic version of quasi-particle and quasi-hole excitations. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 552981
• Journal Information: Journal of Mathematical Physics, Vol. 38, Issue 12; Other Information: PBD: Dec 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SUPERSYMMETRY
SOLITONS
UNIFIED GAUGE MODELS
DUALITY
QUANTUM ELECTRODYNAMICS
FERMI INTERACTIONS
HIGGS MODEL
TOPOLOGY
GINZBURG-LANDAU THEORY
HALL EFFECT
QUASI PARTICLES
EXCITATION
PARTICLE-HOLE MODEL