v 1 9 J un 1 99 2 EXTENDED SUPERCONFORMAL GALILEAN SYMMETRY IN CHERN - SIMONS MATTER SYSTEMS
نویسندگان
چکیده
We study the nonrelativistic limit of the N = 2 supersymmetric Chern-Simons matter system. We show 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. We also show 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. We finally analyze the second quantized version of the model and the two-particle sector.
منابع مشابه
Symplectic Three - Algebra and N = 6 , Sp ( 2 N ) × U ( 1 ) Superconformal Chern - Simons - Matter Theory
We introduce an anti-symmetric metric into a 3-algebra and call it a symplectic 3-algebra. The N = 6, Sp(2N) × U(1) superconformal Chern-Simons-matter theory with SU(4) R-symmetry in three dimensions is constructed by specifying the 3-brackets in a symplectic 3-algebra.
متن کاملSuperpotentials for Superconformal Chern–simons Theories from Representation Theory
These notes provide a detailed account of the universal structure of superpotentials defining a large class of superconformal Chern–Simons theories with matter, many of which appear as the low-energy descriptions of multiple M2-brane configurations. The amount of superconformal symmetry in the Chern–Simons-matter theory determines the minimum amount of global symmetry that the associated quarti...
متن کاملSuperconformal Chern - Simons - Matter Theory
We introduce an anti-symmetric metric into a 3-algebra and call it a symplectic 3-algebra. The N = 6, Sp(2N) × U(1) superconformal Chern-Simons-matter theory with SU(4) R-symmetry in three dimensions is constructed by specifying the 3-brackets in a symplectic 3-algebra.
متن کاملSuperconformal Chern - Simons Theories and the Squashed Seven Sphere
We show that there are two supersymmetric completions of the three-dimensional Chern-Simons theory of level k with gauge group U(N) × U(N) coupled to four sets of massless scalars and spinors in the bi-fundamental representation, if we require Sp(2) ⊂ SU(4) global symmetry with the matter fields in the fundamental representation of SU(4). One is the N = 6 superconformal theory recently studied ...
متن کاملR-charges, Chiral Rings and RG Flows in Supersymmetric Chern-Simons-Matter Theories
We discuss the non-perturbative behavior of the U(1)R symmetry in N = 2 superconformal Chern-Simons theories coupled to matter in the (anti)fundamental and adjoint representations of the gauge group, which we take to be U(N). Inequalities constraining this behavior are obtained as consequences of spontaneous breaking of supersymmetry and Seiberg duality. This information reveals a web of RG flo...
متن کامل