Abstract :

We continue to investigate a specific class of higher derivative couplings Fagan in the type II string effective action compactified on a Chalabi-Yau triple in order to provide a world sheet description of the refined topological string. We investigate the Fagan to other component couplings in the anti-holomorphic moduli of the theory via first order differential equations. These equations characterise the contribution of non-physical states to twisted correlation functions from the viewpoint of topological theory and express a barrier to understanding the Fagan as the free energy of the new topological string theory. By defining the conditions for the moduli dependency under which the differential equations simplify and assume the form of generalised holomorphic equations, we look at potential solutions to this.