Generalized ADHM equations from marginal deformations in open superstring field theory

Abstract

Working within the framework of both the $A_{\infty }$ 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 $\mathrm{D}(-1)/D3$ 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 backgrounds, such as instantons on unresolved ALE spaces, as well as the spiked instantons.

63 pages, no figures. V3: Improved presentation, matches published version

References in corpus (5)

• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• NS-NS Sector of Closed Superstring Field Theory
• Spiked Instantons from Intersecting D-branes
• Open superstring field theory I: gauge fixing, ghost structure, and propagator
• Superstring Field Theory and the Wess-Zumino-Witten Action