Off-shell Amplitudes in Superstring Theory

Abstract

Computing the renormalized masses and S-matrix elements in string theory, involving states whose masses are not protected from quantum corrections, requires defining off-shell amplitude with certain factorization properties. While in the bosonic string theory one can in principle construct such an amplitude from string field theory, there is no fully consistent field theory for type II and heterotic string theory. In this paper we give a practical construction of off-shell amplitudes satisfying the desired factorization property using the formalism of picture changing operators. We describe a systematic procedure for dealing with the spurious singularities of the integration measure that we encounter in superstring perturbation theory. This procedure is also useful for computing on-shell amplitudes, as we demonstrate by computing the effect of Fayet-Iliopoulos D-terms in four dimensional heterotic string theory compactifications using this formalism.

LaTeX file, 79 pages, 14 figures; v2 references and clarifications added, normalisation fixed to facilitate construction of 1PI string field theory, notations simplified; v3: minor changes; v4: minor additions and typos corrected

References in corpus (11)

• Resolving Witten's Superstring Field Theory
• NS-NS Sector of Closed Superstring Field Theory
• Mass Renormalization in String Theory: General States
• Mass Renormalization in String Theory: Special States
• Open superstring field theory I: gauge fixing, ghost structure, and propagator
• Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes
• From the Berkovits formulation to the Witten formulation in open superstring field theory
• The off-shell Veneziano amplitude in Schnabl gauge
• Supersymmetry Breaking Effects using the Pure Spinor Formalism of the Superstring
• Gauge Invariant 1PI Effective Action for Superstring Field Theory
• Topics in Two-Loop Superstring Perturbation Theory

Cited by in corpus (50)

• Closed Superstring Field Theory and its Applications
• BV Master Action for Heterotic and Type II String Field Theories
• Four Lectures on Closed String Field Theory
• String Field Theory -- A Modern Introduction
• Gauge Invariant 1PI Effective Superstring Field Theory: Inclusion of the Ramond Sector
• String Field Theory as World-sheet UV Regulator
• Normalization of Type IIB D-instanton Amplitudes
• Classical algebraic structures in string theory effective actions
• Ramond Equations of Motion in Superstring Field Theory
• Loop amplitudes monodromy relations and color-kinematics duality
• Mapping between Witten and Lightcone String Field Theories
• Background Independence of Closed Superstring Field Theory
• Supersymmetry Restoration in Superstring Perturbation Theory
• Open superstring field theory based on the supermoduli space
• Ambitwistor Integrands from Tensionless Chiral Superstring Integrands
• One Loop Tadpole in Heterotic String Field Theory
• On Chiral Splitting and the Ambitwistor String
• Highly Excited Strings I: Generating Function
• Vertical Integration from the Large Hilbert Space
• Hyperbolic Geometry and Closed Bosonic String Field Theory I: The String Vertices Via Hyperbolic Riemann Surfaces
• A Superstring Field Theory for Supergravity
• Hyperbolic Geometry and Closed Bosonic String Field Theory II: The Rules for Evaluating the Quantum BV Master Action
• Two-point String Amplitudes Revisited by Operator Formalism
• Localization of effective actions in Heterotic String Field Theory
• The S-Matrix of 2D Type 0B String Theory Part 1: Perturbation Theory Revisited
• Symmetries and Feynman Rules for Ramond Sector in Open Superstring Field Theory
• Closed string deformations in open string field theory I: bosonic string
• Gauge Invariant 1PI Effective Action for Superstring Field Theory
• Filling The Gaps With PCO's
• Fermionic one-loop amplitudes of the RNS superstring
• Topological recursion for hyperbolic string field theory
• Multiloop Amplitudes of Light-cone Gauge Superstring Field Theory: Odd Spin Structure Contributions
• Symmetries and Feynman Rules for Ramond Sector in Heterotic String Field Theory
• Quantum Closed Superstring Field Theory and Hyperbolic Geometry I: Construction of String Vertices
• On the Equivalence between SRS and PCO Formulations of Superstring Perturbation Theory
• Handle Operators in String Theory
• Ultraviolet and Infrared Divergences in Superstring Theory
• Supermoduli and PCOs at Genus Two
• Families of gauge conditions in BV formalism
• Entanglement Entropy in Closed String Theory
• Multiloop Amplitudes of Light-cone Gauge NSR String Field Theory in Noncritical Dimensions
• Hyperbolic Geometry of Superstring Perturbation Theory
• D=5 Holomorphic Chern-Simons and the Pure Spinor Superstring
• Light-cone gauge superstring field theory in linear dilaton background
• Multiloop Amplitudes of Light-cone Gauge String Field Theory for Type II Superstrings
• Algebraic Structures In Closed Superstring Field Theory, Homotopy Transfer And Effective Actions
• Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism
• Pinching parameters for open (super) strings
• SL(2, $\mathbb{C}$) quartic vertex for closed string field theory
• Two-loop Yang-Mills diagrams from superstring amplitudes