Degeneration of Topological String partition functions and Mirror curves of the Calabi-Yau threefolds X_N,M

2020/09/15 by Ahmed, Ambreen, Muteeb, M. Nouman
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2009.07374

Abstract

In this paper we study certain degenerations of the mirror curves, associated with Calabi-Yau threefolds X_N,M, and the effect of these degenerations on the topological string partition function of X_N,M. We show that when the mirror curve degenerates and become the union of the lower genus curves the corresponding partition function factorizes into pieces corresponding to the components of the degenerate mirror curve. Moreoever we show that using degeneration of a generalised mirror curve it is possible to obtain the partition function corresponding to X_N,M-1 from X_N,M.

Related

• Open Topological String Amplitudes and BPS Invariants on Complete Intersection Calabi-Yau Threefolds
• Local Mirror Symmetry at Higher Genus
• A question on generalization of partition functions of CY 3-folds in String Theory
• Quantum Curve for strip geometries, Topological Recursion and open GW/DT invariants
• Gauss-Manin connection in disguise: Calabi-Yau threefolds