The wave-function behaviour of the open topological string partition

by Kashani-Poor, A.-K. (Univ. Amsterdam)

Tuesday 20 Jun 2006, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

The object of study will be the partition function of the topological string on the conifold, calculated to all genus in the presence of branes. We will demonstrate that the partition functions for different brane backgrounds (smoothly connected along a quantum corrected moduli space) can be interpreted as different representations of the same wave function, which arises naturally in the target space description of the topological theory. We will present our calculations in the framework of a free fermion representation of the open topological string on the conifold. The notion of a fermionic brane creation operator arises in this setting, and we will discuss to what extent the wave function properties of the partition function can be extended to this operator.