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Lectures on curved beta-gamma systems, pure spinors, and anomalies
| Citations: | 52 - 3 self |
BibTeX
@MISC{Nekrasov_lectureson,
author = {Nikita A. Nekrasov},
title = {Lectures on curved beta-gamma systems, pure spinors, and anomalies},
year = {}
}
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Abstract
The curved beta-gamma system is the chiral sector of a certain infinite radius limit of the non-linear sigma model with complex target space. Naively it only depends on the complex structures on the worldsheet and the target space. It may suffer from the worldsheet and target space diffeomorphism anomalies which we review. We analyze the curved betagamma system on the space of pure spinors, aiming to verify the consistency of Berkovits covariant superstring quantization. We demonstrate that under certain conditions both anomalies can be cancelled for the pure spinor sigma model, in which case one reproduces the old construction of B. Feigin and E. Frenkel.
Keyphrases
pure spinors curved beta-gamma system betagamma system complex structure pure spinor sigma model complex target space non-linear sigma model certain infinite radius limit target space target space diffeomorphism anomaly certain condition chiral sector berkovits covariant beta-gamma system old construction
