2020/09/22 by M. Nouman Muteeb, Muteeb, M. Nouman
Mathematics · Physics and Astronomy · #14J26 #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2009.10866
openalex publication_date 2020/09/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We propose expressions for refined open topological string partition function\non certain non-compact Calabi Yau 3-folds with topological branes wrapped on\nthe special lagrangian submanifolds. The corresponding web diagrams are\npartially compact and a lagrangian brane is inserted on one of the external\nlegs. Partial compactification introduces a mass deformation in the\ncorresponding gauge theory. We propose conjectures that equate these open\ntopological string partition functions with the generating function of\nequivaraint indices on certain quiver moduli spaces. To obtain these\nconjectures we use the identification of topological string partition functions\nwith equivariant indices on the instanton moduli spaces.\n