Path-Integral Quantization of the (2,2) String

Abstract

A complete treatment of the (2,2) NSR string in flat (2+2) dimensional space-time is given, from the formal path integral over N=2 super Riemann surfaces to the computational recipe for amplitudes at any loop or gauge instanton number. We perform in detail the superconformal gauge fixing, discuss the spectral flow, and analyze the supermoduli space with emphasis on the gauge moduli. Background gauge field configurations in all instanton sectors are constructed. We develop chiral bosonization on punctured higher-genus surfaces in the presence of gauge moduli and instantons. The BRST cohomology is recapitulated, with a new space-time interpretation for picture-changing. We point out two ways of combining left- and right-movers, which lead to different three-point functions.

36 pages, LaTeX; published version (typos & eq.(7.12) corrected)

References in corpus (3)

• Evidence for F-Theory
• The self-dual sector of QCD amplitudes
• Restoring Reality for the Self-Dual N=2 String

Cited by in corpus (18)

• Cubic Twistorial String Field Theory
• Little String Theory and Heterotic/Type II Duality
• Open N=2 strings in a B-field background and noncommutative self-dual Yang-Mills
• Extended Self-Dual Yang-Mills from the N=2 String
• N=2 Worldsheet Instantons Yield Cubic Self-Dual Yang-Mills
• An approach to F-theory
• Non-local symmetries of the closed N=2 string
• N=2 Quantum String Scattering
• $A_{\infty }$-Algebra from Supermanifolds
• Closed N=2 Strings: Picture-Changing, Hidden Symmetries and SDG Hierarchy
• Global conformal anomaly in N=2 string
• The Ground Ring of N=2 Minimal String Theory
• Ward identities and the vanishing theorem for loop amplitudes of the closed N=2 string
• N=2 Strings on Orbifolds
• A Heterotic N=2 String with Space-Time Supersymmetry
• String-induced Yang-Mills coupling to self-dual gravity
• Hidden Symmetries of the Open N=2 String
• $A_{\infty }$ Action of Open $\mathcal{N}=2$ Superstring Field Theory