Wilsonian Effective Action of Superstring Theory

Abstract

By integrating out the heavy fields in type II or heterotic string field theory one can construct the effective action for the light fields. This effective theory inherits all the algebraic structures of the parent theory and the effective action automatically satisfies the Batalin-Vilkovisky quantum master equation. This theory is manifestly ultraviolet finite, has only light fields as its explicit degrees of freedom, and the Feynman diagrams of this theory reproduce the exact scattering amplitudes of light states in string theory to any arbitrary order in perturbation theory. Furthermore in this theory the degrees of freedom of light fields above certain energy scale are also implicitly integrated out. This energy scale is determined by a particular parameter labelling a family of equivalent actions, and can be made arbitrarily low, leading to the interpretation of the effective action as the Wilsonian effective action.

LaTeX, 26 pages

References in corpus (15)

• String Theory Dynamics In Various Dimensions
• Double Field Theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• The eleven-dimensional supermembrane revisited
• Geometry of Batalin-Vilkovisky quantization
• Cutkosky Rules for Superstring Field Theory
• BV Master Action for Heterotic and Type II String Field Theories
• A Closed String Tachyon Vacuum ?
• Developing the Covariant Batalin-Vilkovisky approach to String Theory
• Mass Renormalization in String Theory: General States
• Unitarity of Superstring Field Theory
• Mass Renormalization in String Theory: Special States
• Gauge Invariant 1PI Effective Superstring Field Theory: Inclusion of the Ramond Sector
• Supersymmetry Restoration in Superstring Perturbation Theory

Cited by in corpus (33)

• $L_{\infty }$ Algebras and Field Theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Four Lectures on Closed String Field Theory
• Double Field Theory as the Double Copy of Yang-Mills
• D-instantons, String Field Theory and Two Dimensional String Theory
• Fixing an Ambiguity in Two Dimensional String Theory Using String Field Theory
• The Gauge Structure of Double Field Theory follows from Yang-Mills Theory
• Nonperturbative renormalization for the neural network-QFT correspondence
• Classical algebraic structures in string theory effective actions
• Mapping between Witten and Lightcone String Field Theories
• Analyticity and Crossing Symmetry of Superstring Loop Amplitudes
• Background Independent Double Field Theory at Order ${\alpha }^{\prime }$: Metric vs. Frame-like Geometry
• On Background Independence and Duality Invariance in String Theory
• The classical cosmological constant of open-closed string field theory
• Cutkosky Rules and Unitarity (Violation) in D-instanton Amplitudes
• Hyperbolic string tadpole
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Open string stub as an auxiliary string field
• Correlation functions of scalar field theories from homotopy algebras
• Localization of effective actions in Heterotic String Field Theory
• Wilsonian effective potentials and closed string field theory
• Closed string deformations in open string field theory I: bosonic string
• $\mathcal{W}$ algebras are L${}_{\infty }$ algebras
• Light-cone reduction of Witten's open string field theory
• Perturbative path-integral of string field and the $A_{\infty }$ structure of the BV master equation
• String theory integrands and supergravity divergences
• Cosmological Perturbations in Double Field Theory
• Symplectic structure in open string field theory I: Rolling tachyons
• Nonperturbative correlation functions from homotopy algebras
• Algebraic Structures In Closed Superstring Field Theory, Homotopy Transfer And Effective Actions
• Correlation Functions Involving Dirac Fields from Homotopy Algebras I: The Free Theory
• Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory
• Towards Hamiltonian Formalism for String Field Theory and Nonlocality