Year: 2018
Type: article
Abstract: We study the topological string partition function of a class of toric, double elliptically fibered Calabi-Yau threefolds ${X}_{N,M}$ at a generic point in the K\"ahler moduli space. These manifolds engineer little string theories in five dimensions or lower and are dual to stacks of M5-branes probing a transverse orbifold singularity. Using the refined topological vertex formalism, we explicitly calculate a generic building block which allows us to compute the topological string partition function of ${X}_{N,M}$ as a series expansion in different K\"ahler parameters. Using this result, we give further explicit proof for a duality found previously in the literature, which relates ${X}_{N,M}\ensuremath{\sim}{X}_{{N}^{\ensuremath{'}},{M}^{\ensuremath{'}}}$ for $NM={N}^{\ensuremath{'}}{M}^{\ensuremath{'}}$ and $\mathrm{gcd}(N,M)=\mathrm{gcd}({N}^{\ensuremath{'}},{M}^{\ensuremath{'}})$.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Award: G2142155169
OpenAlex ID: W2763304382