Harmonic Superspaces from Superstrings

Abstract

We derive harmonic superspaces for N=2,3,4 SYM theory in four dimensions from superstring theory. The pure spinors in ten dimensions are dimensionally reduced and yield the harmonic coordinates. Two anticommuting BRST charges implement Grassmann analyticity and harmonic analyticity. The string field theory action produces the action and field equations for N=3 SYM theory in harmonic superspace.

14 pp. Harvmac

References in corpus (6)

• Non-commutative superspace from string theory
• ICTP Lectures on Covariant Quantization of the Superstring
• On maximally supersymmetric Yang-Mills theories
• Nilpotent deformations of N=2 superspace
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry

Cited by in corpus (12)

• Lower-dimensional pure-spinor superstrings
• Compactification of the Heterotic Pure Spinor Superstring I
• M5-brane in the superspace approach
• Self-Dual Super-Yang-Mills as a String Theory in $(x,\theta )$ Space
• Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology
• N=3 Superparticle Model
• D=4 Pure Spinor Superstring and N=2 Strings
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• N=4 Superconformal Symmetry for the Covariant Quantum Superstring
• Covariant N=2 heterotic string in four dimensions
• The Covariant Superstring on K3
• Compactification of the Heterotic Pure Spinor Superstring II