Purely twistorial string with canonical twistor field quantization
High Energy Physics - Theory
2009-03-24 v3
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.
Keywords
Cite
@article{arxiv.0811.3353,
title = {Purely twistorial string with canonical twistor field quantization},
author = {Sergey Fedoruk and Jerzy Lukierski},
journal= {arXiv preprint arXiv:0811.3353},
year = {2009}
}
Comments
v3: 6p.(extended version), in press in Physical Review D