GL(1) Charged States in Twistor String Theory
Abstract
We discuss the appearance of the GL(1) charged physical operators in the twistor string theory. These operators are shown to be BRST-invariant and non-trivial, and some of their correlators and conformal beta-functions are computed. Remarkably, the non-conservation of the GL(1)-charge in interactions involving these operators is related to the anomalous term in the Kac-Moody current algebra. While these operators play no role in the maximum helicity violating (MHV) amplitudes of Yang-Mills theory, they are shown to contribute non-trivially to non-MHV correlators in the worldsheet instanton backgrounds. We argue that these operators describe the non-perturbative dynamics of solitons in conformal supergravity. However, the exact form of such solitonic solutions is yet to be determined.
Cite
@article{arxiv.hep-th/0501219,
title = {GL(1) Charged States in Twistor String Theory},
author = {Dimitri Polyakov},
journal= {arXiv preprint arXiv:hep-th/0501219},
year = {2009}
}
Comments
12 pages BRST-invariant picture-changing operators for the $u-v$ ghost system derived, typos corrected acknowledgements added