Upper bound on the Atiyah-Singer index from tadpole cancellation

Abstract We propose an upper bound on the Atiyah-Singer index in the effective action of string theory. For E 8 × E 8 ′ $$ {E}_8^{\prime } $$ and SO(32) heterotic string theories on smooth Calabi-Yau threefolds with line bundles, we find that the tadpole cancellation and supersymmetry conditions lea...

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Bibliographic Details
Main Authors: Keiya Ishiguro, Takafumi Kai, Satsuki Nishimura, Hajime Otsuka, Maki Takeuchi
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2024)200