Hidden supersymmetry of a P,T-invariant 3D fermion system
Mikhail Plyushchay, Pasquale Sodano
Abstract
We show that a (2+1)-dimensional P,T-invariant free fermion system, relevant to P,T-conserving models of high-Tc superconductivity, has a U(1,1) dynamical symmetry as well as an N=3 supersymmetry with the even generator being a quadratic function of the spin operator and of the generator of chiral Uc(1) transformations. We demonstrate that the hidden supersymmetry leads to a non-standard superextension of the (2+1)-dimensional Poincaré group. As a result, the one particle states of the P,T-invariant fermion system realize an irreducible representation of the Poincaré supergroup labelled by the zero eigenvalue of the superspin operator.
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