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Published November 2016 | Published + Submitted
Journal Article Open

On W algebras commuting with a set of screenings

Abstract

We consider the problem of classification of all W algebras which commute with a set of exponential screening operators. Assuming that the W algebra has a nontrivial current of spin 3, we find equations satisfied by the screening operators and classify their solutions.

Additional Information

© The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: September 22, 2016. Accepted: November 10, 2016. Published: November 22, 2016. These notes would not have been possible without the numerous explanations of Misha Bershtein. We also thank Borya Feigin, Misha Lashkevich and Slava Pugai for their interest and useful suggestions. A.L. especially acknowledges Vladimir Fateev for numerous disscusions. The study of W algebras commuting with exponential screening operators was supported by Russian Science Foundation under the grant #14-12-01383. The rest has been done with the support of RFBR under the grant 15-32-20974.

Attached Files

Published - art_3A10.1007_2FJHEP11_282016_29138.pdf

Submitted - 1609.06271.pdf

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August 22, 2023
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