N=4 string is the same as theN=2 string

1992/04/30 by Warren Siegel, W. Siegel · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevlett.69.1493

published as Phys.Rev.Lett. 69 (1992) 1493-1495 · 7 pg (uuencoded dvi file; otherwise same as original)

arxiv created 1992/05/28 · openalex publication_date 1992/09/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We redo the quantization of the N=4 string, taking into account the reducibility of the constraints. The result is equivalent to the N=2 string, with critical dimension D=4 and signature (++--). The N=4 formulation has several advantages: The \ensuremathσ-model field equations are implied classically, rather than by quantum or \ensuremathβ-function calculations; self-duality (chirality) is one of the super-Virasoro constraints; SO(2,2) covariance is manifest. This reveals that the theory includes fermions, and is apparently spacetime supersymmetric.

Cited by

• Spacetime supersymmetry of extended fermionic strings in 2+2 dimensions
• Evidence for F-theory
• Self-dual sector of QCD amplitudes
• Kähler spinning particles
• N=2 (4) string theory is self-dualN=4 Yang-Mills theory
• Restoring reality for the self-dual N = 2 string
• Green–Schwarz, Nambu–Goto actions, and Cayley's hyperdeterminant
• Can one restore Lorentz invariance in quantum N=2 string?