Localization of effective actions in Heterotic String Field Theory

Abstract

We consider the algebraic couplings in the tree level effective action of the heterotic string. We show how these couplings can be computed from closed string field theory. When the light fields we are interested in are charged under an underlying $\mathcal{N}=2$ $R$-charge in the left-moving sector, their quartic effective potential localizes at the boundary of the worldsheet moduli space, in complete analogy to the previously studied open string case. In particular we are able to compute the quartic closed string field theory potential without resorting to any explicit expression for the 3- and the 4-strings vertices but only using the $L_{\infty }$ relations between them. As a non trivial example we show how the heterotic Yang-Mills quartic potential arises in this way.

arXiv comment48 pages incl. appendix. V2: ref added and minor improvements

References in corpus (46)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Holomorphic Anomalies in Topological Field Theories
• Topological Amplitudes in String Theory
• Super-Poincare Invariant Superstring Field Theory
• Boundary Deformation Theory and Moduli Spaces of D-Branes
• Cutkosky Rules for Superstring Field Theory
• Closed Superstring Field Theory and its Applications
• BV Master Action for Heterotic and Type II String Field Theories
• Wedge states in string field theory
• The closed string tadpole in open string field theory
• Off-shell Amplitudes in Superstring Theory
• WZW-like Action for Heterotic String Field Theory
• String Field Theory Solution for Any Open String Background
• Solutions from boundary condition changing operators in open string field theory
• NS-NS Sector of Closed Superstring Field Theory
• Relevant Deformations in Open String Field Theory: a Simple Solution for Lumps
• The Dilaton Theorem and Closed String Backgrounds
• Complete Action for Open Superstring Field Theory with Cyclic $A_{\infty }$ Structure
• Wilsonian Effective Action of Superstring Theory
• Heterotic String Field Theory
• Unitarity of Superstring Field Theory
• Analytic Solution for Tachyon Condensation in Berkovits' Open Superstring Field Theory
• String Field Theory as World-sheet UV Regulator
• Connecting Solutions in Open String Field Theory with Singular Gauge Transformations
• Gauge Invariant 1PI Effective Superstring Field Theory: Inclusion of the Ramond Sector
• Complete action for open superstring field theory
• Boundary State from Ellwood Invariants
• Yang-Mills Action from Open Superstring Field Theory
• Multibrane Solutions in Open String Field Theory
• Winding Number in String Field Theory
• String Field Theory Solution for Any Open String Background. II
• Background Independence of Closed Superstring Field Theory
• Analyticity and Crossing Symmetry of Superstring Loop Amplitudes
• Supersymmetry Restoration in Superstring Perturbation Theory
• A simple solution for marginal deformations in open string field theory
• Dilaton Deformations in Closed String Field Theory
• Superstring Field Theory and the Wess-Zumino-Witten Action
• Heterotic string field theory with cyclic L-infinity structure
• Open Superstring Field Theory on the Restricted Hilbert Space
• BCFT moduli space in level truncation
• Localization of effective actions in open superstring field theory
• Generalized ADHM equations from marginal deformations in open superstring field theory
• On Finite-Size D-Branes in Superstring Theory
• Supersymmetric extended string field theory in NS^n sector and NS^{n-1}-R sector

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• Hyperbolic string tadpole
• Closed string deformations in open string field theory II: superstring
• 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
• Conformal Defects from String Field Theory