Testing Closed String Field Theory with Marginal Fields

Abstract

We study the feasibility of level expansion and test the quartic vertex of closed string field theory by checking the flatness of the potential in marginal directions. The tests, which work out correctly, require the cancellation of two contributions: one from an infinite-level computation with the cubic vertex and the other from a finite-level computation with the quartic vertex. The numerical results suggest that the quartic vertex contributions are comparable or smaller than those of level four fields.

14 pages, LaTeX. v2: New references to work of Beccaria and Rampino, and Taylor. Improved numerical analysis at the end of section 4

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• Real analytic solutions for marginal deformations in open superstring field theory
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• General marginal deformations in open superstring field theory
• Marginal deformation for the photon in superstring field theory
• Closed Bosonic String Field Theory at Quintic Order: Five-Tachyon Contact Term and Dilaton Theorem
• Closed Bosonic String Field Theory at Quintic Order II: Marginal Deformations and Effective Potential
• Marginal Deformations and Classical Solutions in Open Superstring Field Theory
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• Delays in Open String Field Theory
• Characterizing 4-string contact interaction using machine learning
• Twist Symmetry and Classical Solutions in Open String Field Theory
• SL(2, $\mathbb{C}$) quartic vertex for closed string field theory
• Closed Bosonic String Tachyon Potential from the $\mathcal{N}=1$ Point of View