The No ghost theorem in curved backgrounds with a time - like u(1): NSR string

Asano, Masako; Natsuume, Makoto

doi:10.1016/j.nuclphysb.2003.08.042

The No ghost theorem in curved backgrounds with a time - like u(1): NSR string

Masako Asano
(
- KEK, Tsukuba
)
,
Makoto Natsuume
(
- KEK, Tsukuba and
- Pennsylvania U.
)

Mar, 2003

26 pages

Published in:

Nucl.Phys.B 672 (2003) 39-63

e-Print:

hep-th/0303051 [hep-th]

DOI:

10.1016/j.nuclphysb.2003.08.042

Report number:

KEK-TH-872

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Abstract:

It is well-known that the standard no-ghost theorem is valid as long as the background has the light-cone directions. We prove the no-ghost theorem for the NSR string when only the timelike direction is flat. This is done by the BRST quantization, using the technique of Frenkel, Garland and Zuckerman and our previous results for the bosonic string. The theorem actually applies as long as the timelike direction is written as a u(1) SCFT.

Note:

27 pages, AMS-LaTeX: v2: minor improvements Report-no: KEK-TH-872, UPR-1031-T Journal-ref: Nucl.Phys. B672 (2003) 39-63 DOI: 10.1016/j.nuclphysb.2003.08.042

11.25.-w
11.25.Hf
No-ghost theorem
NSR string
BRST quantization
Vanishing theorem
string model
quantization: 1
charge: Becchi-Rouet-Stora
ghost

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