Dualities from higher-spin supergravity

Understand

We study the vacuum structure of spin-3 higher-spin supergravity in AdS_3 spacetime.

• The theory can be written as a Chern-Simons theory based on the Lie superalgebra sl(3|2).
• We find three distinct AdS_3 vacua, AdS^(1), AdS^(2) and AdS^(p), each corresponding to one embedding of the osp(1|2) subalgebra into the sl(3|2) algebra.
• We explicitly construct the RG flows from AdS^(1) to AdS^(p) and from AdS^(2) to AdS^(p), which identifies AdS^(p) as an IR vacuum and AdS^(1), AdS^(2) as two different UV vacua.