Abstract
The unconstrained light-front action of higher-order (third-order bosonic and second-order fermionic) topologically massive supergravity is given. The generator of the light-front time evolution is determined as a functional of the two unique physical variables the system has: one (real) for the bosonic massive spin-2 excitation and other (Grassmannian, real) for the massive spin-3/2 degree of freedom. The analysis is performed in the natural torsion-sensitive supersymmetric generalisation of the recently introduced dreibein light-front gauge. It shows in a particular transparent fashion how the dynamics of the fermionic sector, whose first layer consists of the non-(locally) conformal invariant Rarita-Schwinger action is driven by the (local) conformal invariance of the supersymmetric Chern-Simons layer of the full action.
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