A question on generalization of partition functions of CY 3-folds in String Theory

This is an expositoray article on the topological string partition function promoting an extension of the partition function of open Gromov-Witten theory of CY 3-folds defined by the trace of vertex operators. We also give a brief survey of their connection to the theory of Hilbert scheme of points...

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Bibliographic Details
Published in:arXiv.org 2020-12
Main Author: Rahmati, Mohammad Reza
Format: Article
Language:English
Subjects:
Mathematical analysis
Operators (mathematics)
Partitions (mathematics)
String theory
Online Access:Get full text
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Summary:This is an expositoray article on the topological string partition function promoting an extension of the partition function of open Gromov-Witten theory of CY 3-folds defined by the trace of vertex operators. We also give a brief survey of their connection to the theory of Hilbert scheme of points on surface. Specifically; we apply infinitely many Cassimir operators twisted to the vertex operator computing the amplitude. The case of finite number of twists has been well discussed in the mathematics and Physics literature.
ISSN:2331-8422