학술논문

Fiber sum formulas for 4-manifolds, topological modular forms and $6d\ \mathcal{N}=(1,0)$ theories
Document Type
Working Paper
Author
Source
Subject
Mathematical Physics
High Energy Physics - Theory
Mathematics - Geometric Topology
Language
Abstract
A relation between four manifolds and topological modular form (TMF) from the six dimensional approach was found by Gukov et al. We exhibit fiber sum formulas for smooth spin four manifolds associated to compactifications of free and interacting $6d\ (1,0)$ SCFTs using the link to the TMF. We find that even the free theories have nontrivial fiber sum formulas.
Comment: Changes were made