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arXiv · 0811.3353

Purely twistorial string with canonical twistor field quantization

Sergey Fedoruk·Jerzy Lukierski
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Abstract

We introduce new purely twistorial scale-invariant action describing the composite bosonic D=4 Nambu-Goto string with target space parametrized by the pair of D=4 twistors. We show that by suitable gauge fixing of local scaling one gets the bilinear twistorial action and canonical quantization rules for the two-dimensional twistor-string fields. We consider the Poisson brackets of all constraints characterizing our model and we obtain four first class constraints describing two Virasoro constraints and two U(1)xU(1) Kac-Moody (KM) local phase transformations.

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Sergey Fedoruk, Jerzy Lukierski. 2009-02-24. Purely twistorial string with canonical twistor field quantization. https://doi.org/10.1103/physrevd.79.066006

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