Physics of crypto-Hermitian and/or cryptosupersymmetric field theories

Details Physics of crypto-Hermitian and/or cryptosupersymmetric field theories Physics of crypto-Hermitian and/or cryptosupersymmetric field theories

2007-10-30

arxiv.org/abs/0710.5662v2

Phys.Rev.D77:061701,2008

Physics

High Energy Physics

High Energy Physics - Theory

Stylistic improvements. References added. The point about what happens in the limit g -> 0 is clarified

Scientific paper

10.1103/PhysRevD.77.061701

We discuss non-Hermitian field theories where the spectrum of the Hamiltonian involves only real energies. We make three observations. (i) The theories obtained from supersymmetric theories by nonanticommutative deformations belong in many cases to this class. (ii) When the deformation parameter is small, the deformed theory enjoys the same supersymmetry algebra as the undeformed one. Half of the supersymmetries are manifest and the existence of another half can be deduced from the structure of the spectrum. (iii) Generically, the conventionally defined S--matrix is not unitary for such theories.

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