Gso Projection, BRST Cohomology and Picture-Changing in N=2 String Theory

Abstract

We investigate in detail the critical $N=2$ fermionic string with and without a global ${\mathbf{Z}}_2$ twist. An analysis of BRST cohomology shows that twisted sectors contain massless `spacetime' fermions which are {\it non-local\/} with respect to the standard massless boson. However, two distinct GSO projections exist, one (untwisted) retaining merely the usual boson and its spectral-flow partner, the other (twisted) yielding two fermions and one boson, on the massless level. The corresponding chiral BRST-invariant vertex operators are constructed in certain pictures, and their fusion and picture-changing are investigated, including the construction of inverse picture-changing operators. The $N=2$ `spacetime supersymmetry' generators are {\it null\/} operators, since the twisted massless states fail to interact. The untwisted three- and four-point functions are recalculated at tree-level.

42 pages, LaTeX, no figures, 115 kb, ITP-UH-05/94, DESY 94-104 (extensive revision and expansion of earlier version)

References in corpus (17)

• N=4 Topological Strings
• The N=2(4) string is self-dual N=4 Yang-Mills
• Self-Dual N=8 Supergravity as Closed N=2(4) Strings
• On the Uniqueness of String Theory
• Self-Dual Supersymmetry and Supergravity in Atiyah-Ward Space-Time
• The N=4 string is the same as the N=2 string
• Majorana-Weyl Spinors and Self-Duality Gauge Fields in 2+2 Dimensions
• The N=2 open string
• The generalized no-ghost theorem for N=2 SUSY critical strings
• Green-Schwarz Formulation of Self-Dual Superstring
• $N=1$ from $N=2$ Superstrings
• On the BRST Operator Structure of the N=2 String
• Toward the Universal Theory of Strings
• On the Universal String Theory
• Twisting the N=2 String
• Space-Time Supersymmetry of Extended Fermionic Strings in $2+2$ Dimensions
• The Mechanism behind the Embeddings of String Theories

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