Abstract
Working within the framework of both the A∞ and the Berkovits open superstring field theory, we derive a necessary and sufficient condition for a Neveu-Schwarz marginal deformation to be exact up to third order in the deformation parameter. For a specific class of backgrounds, we find that this condition localizes on the boundary of the worldsheet moduli space, thus providing a very simple computational prescription for recovering algebraic constraints (generalized ADHM equations) which need to be satisfied by the moduli. Applying our results to the D(−1)/D3 system, we confirm up to third order that blowing up the size of the D-instanton inside the D3 brane worldvolume is an exact modulus of the full string theory. We also discuss examples of more complicated back- grounds, such as instantons on unresolved ALE spaces, as well as the spiked instantons.
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Vošmera, J. Generalized ADHM equations from marginal deformations in open superstring field theory. J. High Energ. Phys. 2019, 118 (2019). https://doi.org/10.1007/JHEP12(2019)118
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DOI: https://doi.org/10.1007/JHEP12(2019)118