Asymptotic W-symmetries in three-dimensional higher-spin gauge theories

[en] We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of higher-spin gauge theories that can be considered as large N limits of SL(N) x SL(N) Chern-Simons theories, and we provide a closed formula for the structure constants of the resulting infinite-dimensional non-linear W-algebras. Along the way we provide a closed formula for the structure constants of all classical W_N algebras. In both examples the higher-spin generators of the W-algebras are Virasoro primaries. We eventually discuss how to relate our basis to a non-primary quadratic basis that was previously discussed in literature.

Disciplines :

Physics

Author, co-author :

Campoleoni, Andrea

Fredenhagen, Stefan

Pfenninger, Stefan

Language :

English

Title :

Asymptotic W-symmetries in three-dimensional higher-spin gauge theories

Publication date :

26 September 2011

Journal title :

Journal of High Energy Physics

ISSN :

1126-6708

Publisher :

Springer, Heidelberg, Germany

Volume :

1109

Issue :

113

Pages :

1-56

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi UMONS :

since 04 December 2016

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170

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