OSp(5|4) Superconformal Symmetry of N=5 Chern-Simons Theory
Fa-Min Chen
TL;DR
This paper proves that N=5 Chern-Simons theories in three dimensions have full OSp(5|4) superconformal symmetry and shows how N=6 theories are related through symmetry enhancement.
Contribution
It establishes the superconformal symmetry of N=5 Chern-Simons theories and constructs the corresponding currents, connecting them to N=6 theories via R-symmetry enhancement.
Findings
Confirmed OSp(5|4) superconformal symmetry in N=5 theories
Constructed superconformal currents explicitly
Demonstrated relation to N=6 superconformal currents
Abstract
We demonstrate that the general D=3, N=5 Chern-Simons matter theory possesses a full OSp(5|4) superconformal symmetry, and construct the corresponding superconformal currents. The closure of the superconformal algebra is verified in detail. We also show that the conserved OSp(6|4) superconformal currents in the general N=6 theory can be obtained as special cases of the OSp(5|4) currents by enhancing the R-symmetry of the N=5 theory from USp(4) to SU(4).
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