Modular invariance of bosonic string on orbifolds
Susumu Fujita
TL;DR
This paper constructs a complete 1-loop partition function for bosonic closed strings on orbifolds and derives conditions for its modular invariance, contributing to the understanding of string theory consistency on orbifold backgrounds.
Contribution
It provides a comprehensive partition function and establishes criteria for modular invariance in bosonic string theory on orbifolds, advancing theoretical foundations.
Findings
Complete 1-loop partition function derived
Sufficient conditions for modular invariance established
Enhances understanding of string consistency on orbifolds
Abstract
I construct a complete 1-loop partition function of a bosonic closed string on orbifolds. Furthermore, I derive sufficient conditions for the modular invariance of the partition function.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometry and complex manifolds · Noncommutative and Quantum Gravity Theories