Constructs pseudo-Hermitian Wess-Zumino model with symplectic fermions and bosonic spinor via superfields, then couples it to Hermitian version to allow cubic interactions while preserving SUSY.
Lorentz Symmetric Quantum Field Theory for Symplectic Fermions
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abstract
A free quantum field theory with Lorentz symmetry is derived for spin-half symplectic fermions in 2+1 dimensions. In particular, we show that fermionic spin-half fields may be canonically quantized in a free theory with a Klein-Gordon Lagrangian. This theory is shown to have all the required properties of a consistent free quantum field theory, namely causality, unitarity, adherence to the spin-statistics theorem, CPT symmetry, and the Hermiticity and positive definiteness of the Hamiltonian. The global symmetry of the free theory is Sp(4) $\simeq$ SO(5). Possible interacting theories of both the pseudo-Hermitian and Hermitian variety are then examined briefly.
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hep-th 1years
2026 1verdicts
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SUSY meets pseudo-Hermiticity
Constructs pseudo-Hermitian Wess-Zumino model with symplectic fermions and bosonic spinor via superfields, then couples it to Hermitian version to allow cubic interactions while preserving SUSY.