E + E $\to$ H

Abstract

E-strings arise from M2 branes suspended between an M5 brane and an M9 plane. In this paper we obtain explicit expressions for the elliptic genus of two E-strings using a series of string dualities. Moreover we show how this can be used to recover the elliptic genus of two $E_8\times E_8$ heterotic strings using the Horava-Witten realization of heterotic strings in M-theory. This involves highly non-trivial identities among Jacobi forms, and is remarkable in light of the fact that E-strings are 'sticky' and form bound states whereas heterotic strings do not form bound states.

38+1 pages, 6 figures; minor corrections

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Cited by in corpus (31)

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• Top Down Approach to 6D SCFTs
• F-theory and the Classification of Little Strings
• Elliptic Genus of E-strings
• Fiber-Base Duality and Global Symmetry Enhancement
• F-Theory, Spinning Black Holes and Multi-string Branches
• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• 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
• Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories
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• Triality in Little String Theories
• Blowup Equations for Refined Topological Strings
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• Indices for 6 dimensional superconformal field theories
• Computing the elliptic genus of higher rank E-strings from genus 0 GW invariants
• The Fate of Discrete 1-Form Symmetries in 6d
• Blowup Equations for Little Strings
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• Mock Modular Index of M2-M5 Brane System
• Bootstrapping ADE M-strings
• E-strings, $F_4$, and $D_4$ triality
• Elliptic Genus, Anomaly Cancellation and Heterotic M-theory
• Weyl invariant $E_8$ Jacobi forms and $E$-strings
• Heterotic M2-branes
• Topological String on elliptic CY 3-folds and the ring of Jacobi forms