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

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 sigma-model field equations are implied classically, rather than by quantum/beta-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.

7 pg (uuencoded dvi file; otherwise same as original)

Cited by in corpus (41)

• Evidence for F-Theory
• N=4 Topological Strings
• The self-dual sector of QCD amplitudes
• The N=2(4) string is self-dual N=4 Yang-Mills
• Self-Dual N=8 Supergravity as Closed N=2(4) Strings
• Self-Dual Supersymmetry and Supergravity in Atiyah-Ward Space-Time
• Gso Projection, BRST Cohomology and Picture-Changing in N=2 String Theory
• An action for N=4 supersymmetric self-dual Yang-Mills theory
• Green-Schwarz Formulation of Self-Dual Superstring
• Some new integrable equations from the self-dual Yang-Mills equations
• On the BRST Operator Structure of the N=2 String
• Covariant field theory for self-dual strings
• Why Are There So Many N = 4 Superstrings?
• Einstein Supergravity and New Twistor String Theories
• Restoring Reality for the Self-Dual N=2 String
• Kahler spinning particles
• The Early Years of String Theory: A Personal Perspective
• Superstrings from theories with N>1 world-sheet supersymmetry
• Self-Dual Super-Yang-Mills as a String Theory in $(x,\theta )$ Space
• $N=1$ Superstring in $2+2$ Dimensions
• Self-Dual Supergravity from N=2 Strings
• Twisting the N=2 String
• Space-Time Supersymmetry of Extended Fermionic Strings in $2+2$ Dimensions
• Restoring Lorentz Invariance in Classical N=2 String
• Families of N=2 Strings
• Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Large N WZW Field Theory Of N=2 Strings
• Green-Schwarz, Nambu-Goto Actions, and Cayley's Hyperdeterminant
• Complete Lagrangian formulation for N=4 topological string
• A Search for New (2,2) Strings
• D-Brane Scattering of N=2 Strings
• Making the hyper--Kähler structure of N=2 quantum string manifest
• Enlarged exceptional symmetries of first-quantized F-theory
• Large N Field Theory of N=2 Strings and Self-Dual Gravity
• ``Alternative $N=(4,0)$ Superstring and $\s$-Models''
• Twistors, Harmonics and Holomorphic Chern-Simons
• A Heterotic N=2 String with Space-Time Supersymmetry
• Can one restore Lorentz invariance in quantum N=2 string?
• Integration Measure and Spectral Flow in the Critical N=2 String
• Noncommutative N=2 p-p' System
• $A_{\infty }$ Action of Open $\mathcal{N}=2$ Superstring Field Theory