On the Elliptic Genus of Three E-strings and Heterotic Strings

Abstract

A precise formula for the elliptic genus of three E-strings is presented. The related refined free energy coincides with the result calculated from topological string on local half K3 Calabi-Yau threefold up to genus twelve. The elliptic genus of three heterotic strings computed from M9 domain walls matches with the result from orbifold formula to high orders. This confirms the n=3 case of the recent conjecture that n pairs of E-strings can recombine into n heterotic strings.

arXiv comment32 pages

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Cited by in corpus (14)

• Universal Features of BPS Strings in Six-dimensional SCFTs
• Refined BPS invariants of 6d SCFTs from anomalies and modularity
• Tao Probing the End of the World
• On Exceptional Instanton Strings
• Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
• Blowup Equations for Refined Topological Strings
• On elliptic genera of 6d string theories
• Indices for 6 dimensional superconformal field theories
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Cardy Limits of 6d Superconformal Theories
• Towards Refining the Topological Strings on Compact Calabi-Yau 3-folds
• Bootstrapping ADE M-strings
• E-strings, $F_4$, and $D_4$ triality
• Elliptic Genus, Anomaly Cancellation and Heterotic M-theory