1210.3016 (Amer Iqbal et al.)

Refined Topological Strings and Toric Calabi-Yau Threefolds    [PDF]

Amer Iqbal, Can Kozcaz

The refined topological vertex formulation computes the refined topological string partition function for non-compact toric Calabi-Yau threefolds which engineer N=2 supersymmetric gauge theories. For geometries such as the local P^2, which do not give rise to gauge theories, the refined topological vertex alone is not sufficient for directly calculating the refined amplitudes. In this paper, we extend the refined topological vertex formalism and propose a complementary new vertex which, together with the refined topological vertex, determines the refined amplitudes for all toric Calabi-Yau threefolds.

View original: http://arxiv.org/abs/1210.3016