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

作者：Campoleoni A^*; Fredenhagen S; Pfenninger S

来源：The Journal of High Energy Physics, 2011, (9): 113.

DOI：10.1007/JHEP09(2011)113

• Field Theories in Lower Dimensions
• Chern-Simons Theories
• Conformal and W Symmetry

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.

• 出版日期2011-9