Bootstrapping Deconfined Quantum Tricriticality.

The paradigmatic example of deconfined quantum criticality is the Neel to valence bond solid phase transition. The continuum description of this transition is the N=2 case of the CP^{N-1} model, which is a field theory of N complex scalars in 3D coupled to an Abelian gauge field with SU(N)×U(1) global symmetry. Lattice studies and duality arguments suggest the global symmetry of the CP^{1} model is enhanced to SO(5).

Pure Anti-de Sitter Supergravity and the Conformal Bootstrap.

We consider graviton scattering in maximal supergravity on anti-de Sitter space (AdS) in d+1 dimensions for d=3, 4, and 6 with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally supersymmetric conformal field theory (CFT) in d dimensions whose only light single trace operator is the stress tensor. This contrasts with more standard cases like type IIB string theory on AdS_{5}×S^{5} dual to N=4 super-Yang-Mills, where the CFT has light single trace operators for each Kaluza-Klein mode on S^{5}.