Integrated Calendar

A fully reduced Hamiltonian formulation of general relativisticly interacting
classical spinning objects is presented to order linear in spin. The analytic
treatment of black holes is accessed by Dirac delta functions and use of
dimensional regularization. The Hamiltonian of binary spinning black holes is
derived through third post-Newtonian order of approximation. The inclusion of
spin-squared terms is achieved by additional considerations based on Kerr
black holes and global Lorentz invariance. Comparison with results in the
literature is made.

I will discuss work in progress on strongly coupled field theories on anti-de Sitter (AdS) space.
These are interesting in their own right, as the anti-de Sitter space provides a natural IR cutoff.
They are also interesting in the context of the AdS/CFT correspondence, in two directions.
Strongly coupled field theories on D dimensional AdS space can have (D+1) dimensional
gravitational duals. And, if such theories appear as part of a gravitational background,
they could be part of a dual description in terms of conformal field theories in (D-1) dimensions.
I will focus on two main examples, the d=4 N=4 SYM theory on AdS_4, and confining field theories
on AdS space.