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We construct a supersymmetric (1+1)-dimensional field theory involving extra derivatives and associated ghosts: the spectrum of the Hamiltonian is not bounded from below, neither from above.
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Z. Bern et al, Amplitudes and ultraviolet behavior of 𝒩 = 8 {\cal N}=8 supergravity
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M. Cederwall and A. Karlsson, Loop amplitudes in maximal supergravity with manifest supersymmetry
2013
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