Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-06-22
Nucl.Phys.Proc.Suppl. 52A (1997) 335-338
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, LaTeX, talk given at the International Workshop `Integrable Models and Strings', Garbsen, Germany, June 24--25, 1996
Scientific paper
10.1016/S0920-5632(96)00586-5
Taking the N=2 strings as the starting point, we discuss the equivalent self-dual field theories and analyse their symmetry structure in 2+2 dimensions. Restoring the full `Lorentz' invariance in the target space necessarily leads to an extension of the N=2 string theory to a theory of 2+2 dimensional supermembranes propagating in 2+10 dimensional target space. The supermembrane requires maximal conformal supersymmetry in 2+2 dimensions, in the way advocated by Siegel. The corresponding self-dual N=4 Yang-Mills theory and the self-dual N=8 (gauged) supergravity in 2+2 dimensions thus appear to be naturally associated to the membrane theory, not a string. Since the same theory of membranes seems to represent the M-theory which is apparently underlying the all known N=1 string theories, the N=2 strings now appear on equal footing with the other string models as particular limits of the unique fundamental theory. Unlike the standard 10-dimensional superstrings, the N=2 strings seem to be much closer to a membrane description of F&M theory.
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