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 (31)

• String Theory and Noncommutative Geometry
• Small Instantons in String Theory
• The D1/D5 System And Singular CFT
• The Calculus of Many Instantons
• Aspects of Type IIB Theory on ALE Spaces
• Super-Poincare Invariant Superstring Field Theory
• Classical gauge instantons from open strings
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
• Observables of String Field Theory
• Wedge states in string field theory
• The closed string tadpole in open string field theory
• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• Resolving Witten's Superstring Field Theory
• NS-NS Sector of Closed Superstring Field Theory
• Complete Action for Open Superstring Field Theory with Cyclic $A_{\infty }$ Structure
• Spiked Instantons from Intersecting D-branes
• String Field Theory as World-sheet UV Regulator
• Open superstring field theory I: gauge fixing, ghost structure, and propagator
• Complete action for open superstring field theory
• Boundary State from Ellwood Invariants
• Yang-Mills Action from Open Superstring Field Theory
• From the Berkovits formulation to the Witten formulation in open superstring field theory
• Ramond Equations of Motion in Superstring Field Theory
• Superstring Field Theory and the Wess-Zumino-Witten Action
• Open superstring field theory based on the supermoduli space
• Localization of effective actions in open superstring field theory
• Supersymmetry in Open Superstring Field Theory
• Spacetime supersymmetry in low-dimensional perturbative heterotic compactifications
• On Finite-Size D-Branes in Superstring Theory
• ${\mathbb{Z}}_2$ boundary twist fields and the moduli space of D-branes
• Super Yang-Mills action from WZW-like open superstring field theory including the Ramond sector

Cited by in corpus (10)

• Four Lectures on Analytic Solutions in Open String Field Theory
• Classical algebraic structures in string theory effective actions
• D-instanton Perturbation Theory
• The classical cosmological constant of open-closed string field theory
• Closed string deformations in open string field theory II: superstring
• Localization of effective actions in Heterotic String Field Theory
• Closed string deformations in open string field theory I: bosonic string
• Closed string deformations in open string field theory III: $\mathcal{N}=2$ worldsheet localization
• Spin fields for the spinning particle
• Instanton Solutions in Open Superstring Field Theory