Harmonic Superspaces from Superstrings
P. A. Grassi (YITP, Stony Brook, DISTA, Univ. Piem. Orien.), P. van, Nieuwenhuizen (YITP, Stony Brook)
TL;DR
This paper derives harmonic superspaces for N=2,3,4 SYM theories in four dimensions from superstring theory, using pure spinors and BRST charges to connect string theory with supersymmetric gauge theories.
Contribution
It introduces a novel derivation of harmonic superspaces from superstring theory, linking string field theory to supersymmetric gauge theories in harmonic superspace.
Findings
Harmonic superspaces for N=2,3,4 SYM derived from superstrings.
String field theory action reproduces N=3 SYM equations.
Pure spinors and BRST charges encode supersymmetry and harmonic analyticity.
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.
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