Correct
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supersymmetry is a symmetry that exchanges bosons <--> fermions .. you don't need string theory for this you just need the lagrangian to be invariant under this exchange. The simplest model is the Wess-Zumino model
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Replying to @InertialObservr @LambdaQG and
of course you first need to define what a supersymemtric transformation even looks like. it's actually a continuous symmetry generated by the SUSY graded lie-algebras and not just a discrete symmetry
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that's if you gauge SUSY
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Replying to @InertialObservr @LambdaQG and
but you can only gauge if the group was continuous to begin with
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All quantum field theories are Poincare invariant, not just SUSYs
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It's when you gauge the poincare symmetry that gets you gravity
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