The Master Equation of 2D String Theory

Abstract

A general method is presented for deriving on-shell Ward-identities in (2D) string theory. It is shown that all tree-level Ward identities can be summarized in a quadratic differential equation for the generating function of tree-amplitudes. This result is extended to loop amplitudes and leads to a master equation {\it à la} Batalin-Vilkovisky for the complete partition function.

19 pages, two figures (not included)

References in corpus (4)

• Interaction of Discrete States in Two-Dimensional String Theory
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Ground Rings and Their Modules in 2D Gravity with $c\le 1$ Matter
• Ward Identities in Two-Dimensional String Theory

Cited by in corpus (29)

• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• On Background Independent Open-String Field Theory
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Antibracket, Antifields and Gauge-Theory Quantization
• Quantum Background Independence In String Theory
• On operad structures of moduli spaces and string theory
• Noncommutative homotopy algebras associated with open strings
• Dispersionless Toda hierarchy and two-dimensional string theory
• Finite in All Directions
• Topological Open P-Branes
• Homotopy Algebra Morphism and Geometry of Classical String Field Theory
• Classical Scattering in $1+1$ Dimensional String Theory
• Origin of Antifields in the Batalin-Vilkovisky Lagrangian Formalism
• Non-Rational 2D Quantum Gravity: I. World Sheet CFT
• On the Open-Closed B-Model
• Topological Open Membranes
• Symmetries of the Bosonic String S-Matrix
• Deformations of Closed Strings and Topological Open Membranes
• Formal Maurer-Cartan Structures: from CFT to Classical Field Equations
• Correlation functions from two-dimensional string Ward identities
• Kleinian Singularities and the Ground Ring of C=1 String Theory
• Non-local symmetries of the closed N=2 string
• RG flow on random surfaces with handles and closed string field theory
• Spacetime Diffeomorphisms and Topological W-Infinity Symmetry in Two Dimensional Topological String Theory
• Ward identities and the vanishing theorem for loop amplitudes of the closed N=2 string
• The W_3 algebra: modules, semi-infinite cohomology and BV-algebras
• The Complete Structure of the Cohomology Ring and Associated Symmetries in $D=2$ String Theory
• The $L_{\infty }$-algebra of the S-matrix