Abstract
We describe the IOSp(D, 2∣2)-extension of the Poincare group in the BRST- quantization of the (spinning) relativistic point particle. The Batalin-Fradkin- Vilkovisky method is used to construct the corresponding field theory, and its dimensional reduction by the Parisi-Sourlas mechanism is proven. We show that a certain element in the identity component of the SO(D, 2) subgroup of IOSp(D, 2∣2) induces the PCT-transformation in the physical subspace. We clarify the role of modular transformations (i.e., of world-line orientation-reversing diffeomorphisms) and argue that the PCT-transformation is the same as a modular transformation seen in an SO(D,2)-rotated frame.
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