Extended superconformal Galilean symmetry in Chern-Simons matter systems

Journal Article · Thu Oct 01 04:00:00 EDT 1992 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(92)90350-U· OSTI ID:5706242

Leblanc, M; Lozano, G ^[1]; Min, H ^[2]

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1. Massachusetts Institute of Technology, Cambridge, MA (United States)
2. Seoul City Univ. (Korea, Republic of)

In the present work, the authors study the nonrelativistic limit of the N = 2 supersymmetric Chern-Simons matter system. It is shown that in addition to Galilean invariance the model admits a set of symmetries generated by fermionic charges, which can be interpreted as an extended Galilean supersymmetry. The system also possesses a hidden conformal invariance and then the full group of symmetries is the extended superconformal Galilean group. It is also shown that imposing extended superconformal Galilean symmetry determines the values of the coupling constants in such a way that their values in the bosonic sector agree with the values of Jackiw and Pi for which self-dual equation exist. The authors finally analyze the second quantized version of the model and the two-particle sector. 18 refs.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 5706242
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 219:1; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-FERMION SYMMETRY
CONFORMAL INVARIANCE
COUPLING CONSTANTS
INVARIANCE PRINCIPLES
MATTER
SPACE-TIME
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS