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Supersymmetric nonlinear O(3) sigma model on the lattice

2012
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Journal of High Energy Physics
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A supersymmetric extension of the nonlinear O(3) sigma model in two spacetime dimensions is investigated by means of Monte Carlo simulations. We argue that it is impossible to construct a lattice action that implements both the O(3) symmetry as well as at least one supersymmetry exactly at finite lattice spacing. It is shown by explicit calculations that previously proposed discretizations fail to reproduce the exact symmetries of the target manifold in the continuum limit. We provide an

doi:10.1007/jhep11(2012)159
fatcat:lmm7jdvrwngktly4onyhje2ee4