Solitonic Sectors, Conformal Boundary Conditions and Three-dimensional Topological Field Theory

Conformal Boundary Conditions and 3d Topological Field Theory

Topological field theory in three dimensions provides a powerful tool to construct correlation functions and to describe boundary conditions in two-dimensional conformal field theories.

Institute for Mathematical Physics Conformal Boundary Conditions and Three{dimensional Topological Field Theory

Conformal boundary conditions and three-dimensional topological field theory

We present a general construction of all correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary topologies. The correlators are expressed in terms of Wilson graphs in a certain three-manifold, the connecting manifold. The amplitudes constructed this way can be shown to be modular invariant and to obey the cor...

Heterotic, Open and Unoriented String Theories from Topological Membrane

In this work I consider several topics in the Topological Membrane (TM) approach to string theory. In TM the string worldsheets emerge as boundary theories of the 3D membrane with topology Σ × [0, 1]. The string dynamics is generated in this way from the bulk physics, namely from the 3D Topologically Massive Gauge Theory (TMGT) and Topologically Massive Gravity (TMG). Both (equivalent) path int...

Toroidal Compactification in String Theory from Chern-Simons Theory

A detailed study of the charge spectrum of three dimensional Abelian Topological Massive Gauge Theory (TMGT) is given. When this theory is defined on a manifold with two disconnected boundaries there are induced chiral Conformal Field Theories (CFT’s) on the boundaries which can be interpreted as the left and right sectors of closed strings. We show that Narain constraints on toroidal compactif...