String vertices for the large $N$ limit

Abstract

String vertices of open-closed string field theory on an arbitrary closed string background with $N$ identical D-branes are investigated when $N$ is large. We identify the relevant geometric master equation and solve it using open-closed hyperbolic genus zero string vertices with a milder systolic constraint. The limits corresponding to integrating out open or closed strings are investigated. We highlight the possible implications of our construction to AdS/CFT correspondence.

22+7 pages, 9 figures

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• Multi-instantons in minimal string theory and in matrix integrals
• Bootstrapping closed string field theory
• The classical cosmological constant of open-closed string field theory
• Connections between reflected entropies and hyperbolic string vertices
• Wilsonian effective potentials and closed string field theory
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Cited by in corpus (3)

• Boundary terms in string field theory
• Topological recursion for hyperbolic string field theory
• String Scattering and Evolution of Ryu-Takayanagi Surface