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arxiv: 1009.0107 · v4 · pith:NMZ643QWnew · submitted 2010-09-01 · ✦ hep-th

No-Ghost Theorem for Neveu-Schwarz String in 0-Picture

classification ✦ hep-th
keywords pictureneveu-schwarzno-ghostoperatorphysicalstringtheorembrst
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The no-ghost theorem for Neveu-Schwarz string is directly proved in 0-picture. The one-to-one correspondence between physical states in 0-picture and those in the conventional (-1)-picture are confirmed. It is shown that a non-trivial metric consistent with the BRST cohomology is needed to define a positive semi-definite norm in the physical Hilbert space. As a by-product, we find a new inverse picture changing operator, which is non-covariant but has non-singular operator product with itself. A possibility to construct a new gauge invariant superstring field theory is discussed.

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