## High Energy Theory Seminar

I will discuss deformations of three-dimensional large N CFTs by

double-trace operators constructed from spin s single-trace operators

of dimension \Delta. These theories possess UV fixed points, and I

calculate the change of the 3-sphere free energy \delta F= F_{UV}-

F_{IR}. To describe the UV fixed point using the dual AdS_4 space I

will modify the boundary conditions on the spin s field in the bulk;

this approach produces \delta F in agreement with the field theory

calculations. If the spin s operator is a conserved current, then the

fixed point is described by an induced parity invariant conformal spin

s gauge theory. When the original CFT is that of N conformal complex

scalar or fermion fields, the U(N) singlet sector of the induced 3-d

gauge theory is dual to Vasiliev's theory in AdS_4 with alternate

boundary conditions on the spin s massless gauge field. I will test

this correspondence by calculating the leading term in \delta F for

large N. I will also argue that the Weyl anomaly a-coefficients of

conformal spin s theories in even dimensions d, such as that of the

Weyl-squared gravity in d=4, can be efficiently calculated using

massless spin s fields in AdS_{d+1} with alternate boundary

conditions. I will use these results to argue for the existence of a

new exactly conformal quantum theory of gravity coupled to higher spin

gauge fields in d = 4.