No data available.

Please log in to see this content.

You have no subscription access to this content.

No metrics data to plot.

The attempt to load metrics for this article has failed.

The attempt to plot a graph for these metrics has failed.

The full text of this article is not currently available.

On principal finite

W-algebras for the Lie superalgebra

D(2, 1;

α)

### Abstract

We study finite W-algebras associated to even regular (principal) nilpotent elements for the family of simple exceptional Lie superalgebrasD(2, 1; α) and for the universal central extension of 𝔭𝔰𝔩(2|2). We give a complete description of these finite W-algebras in terms of generators and relations.

Published by AIP Publishing.

Received 01 January 2016
Accepted 19 April 2016
Published online 09 May 2016

Acknowledgments:
Research was supported by Simons Foundation Collaboration Grant No. 354874. The author is grateful to V. Serganova for very helpful discussions.

Article outline:

I. INTRODUCTION
II. PRELIMINARIES
III. SUPERALGEBRAS Γ(*σ*_{1}, *σ*_{2}, *σ*_{3})
IV. THE FINITE *W*-ALGEBRA FOR Γ(*σ*_{1}, *σ*_{2}, *σ*_{3})
V. THE HARISH-CHANDRA HOMOMORPHISM
VI. THE HARISH-CHANDRA HOMOMORPHISM FOR Γ(*σ*_{1}, *σ*_{2}, *σ*_{3})
VII. THE FINITE *W*-ALGEBRA FOR
VIII. THE HARISH-CHANDRA HOMOMORPHISM FOR

/content/aip/journal/jmp/57/5/10.1063/1.4948410

http://aip.metastore.ingenta.com/content/aip/journal/jmp/57/5/10.1063/1.4948410

Commenting has been disabled for this content