Triangle Seminars

Abstract:
I will discuss an instanton solution preserving AdS boundary conditions.
It arises in a compactification of M-theory to four dimensions, keeping a
single scalar coupled to gravity with a phi to the 4th potential. We study the
holography of this solution in the context of a toy model, where the
effective boundary CFT is a conformally coupled scalar with a phi to the 6th
potential in three dimensions. We match bulk and boundary instanton
solutions as well as fluctuations around them. Using a form of radial
quantization we show that quantum states in the bulk correspond to
multiply-occupied single particle states in the boundary theory. I will
discuss the interpretation of the instanton in the dual CFT as a deformation
by a triple-trace operator, and how the instanton signals an instability
of the theory under this deformation.

Abstract:
We discuss two integrable Hamiltonians describing the physics of interconversion of bosonic atoms and di-atomic molecules. By mapping the energy spectrums of these models onto a pair of Schrodinger equations we are able to establish a spectral equivalence between a Hermitian Schrodinger problem and a PT-symmetric Schrodinger equation.