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arXiv · 2506.21247

$A_{\infty}$ Action of Open $\mathcal{N}=2$ Superstring Field Theory

Xianghang Zhang
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Abstract

We formulate a string field theory for open $\mathcal{N}=2$ strings with an $A_{\infty}$ algebra structure. Starting from the BRST cohomology relative to the U(1) anti-ghost zero-mode, we generalize [arXiv:1312.2948] and constructed all interacting vertices recursively and without singularity. We also show that our string field theory reproduces the correct perturbative S-matrix.

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Xianghang Zhang. 2025-11-28. $A_{\infty}$ Action of Open $\mathcal{N}=2$ Superstring Field Theory. https://doi.org/10.1007/jhep11(2025)130

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