Correlation functions from two-dimensional string Ward identities

Abstract

We rederive the $w_{\infty }$ Ward identities, starting from the existence of trivial linearized gauge invariances, and using the method of canceled propagators in the operator formalism. Recursion relations for certain classes of correlation functions are derived, and these correlation function are calculated exactly. We clarify the relation of these results with another derivation of the Ward identities, which relies directly on charge conservation. We also emphasize the importance of the kinematics of canceled propagators in ensuring that the Ward identities are non-trivial. Finally, we sketch an extension of Ward identities to open strings.

19 pages

References in corpus (14)

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Cited by in corpus (11)

• Liouville Field Theory -- A decade after the revolution
• Lectures on 2D gravity and 2D string theory (TASI 1992)
• Non-Rational 2D Quantum Gravity: I. World Sheet CFT
• The Large N Harmonic Oscillator as a String Theory
• Symmetries of the Bosonic String S-Matrix
• Extended Toda lattice hierarchy, extended two-matrix model and c=1 string theory
• Non-local symmetries of the closed N=2 string
• Topological Field Theory Interpretations and LG Representation of c=1 String Theory
• Ward identities and the vanishing theorem for loop amplitudes of the closed N=2 string
• The Scattering of Strings in a Black-Hole Background
• Ward Identities of W_{\infty} Symmetry and Higher Genus Amplitudes in 2D String Theory