The No ghost theorem for string theory in curved backgrounds with a flat timelike direction

Asano, Masako; Natsuume, Makoto

doi:10.1016/S0550-3213(00)00495-8

The No ghost theorem for string theory in curved backgrounds with a flat timelike direction

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

Apr, 2000

24 pages

Published in:

Nucl.Phys.B 588 (2000) 453-470

e-Print:

hep-th/0005002 [hep-th]

DOI:

10.1016/S0550-3213(00)00495-8

Report number:

KEK-TH-688,
UT-886

View in:

pdf

reference search11 citations

Citations per year

Abstract:

It is well-known that the standard no-ghost theorem can be extended straightforwardly to the general c=26 CFT on R^{d-1,1} \times K, where 2 \leq d \leq 26 and K is a compact unitary CFT of appropriate central charge. We prove the no-ghost theorem for d=1, i.e., when only the timelike direction is flat. This is done using the technique of Frenkel, Garland and Zuckerman.

string model
space-time
quantization: 1
quantization: Becchi-Rouet-Stora
phase space: Fock space
ghost
duality

References(28)

Figures(0)

Spectrum generating algebra and no ghost theorem for the dual model

Richard C. Brower
(
- MIT, LNS
)

- Phys.Rev.D 6 (1972) 1655-1662
•
DOI:
- 10.1103/PhysRevD.6.1655

Compatibility of the Dual Pomeron with Unitarity and the Absence of Ghosts in the Dual Resonance Model

P. Goddard
(
- CERN
)
,
Charles B. Thorn
(
- CERN
)

- Phys.Lett.B 40 (1972) 235-238,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 112-115
•
DOI:
- 10.1016/0370-2693(72)90420-0

Covariant Quantization of String Based on BRS Invariance

Mitsuhiro Kato
(
- Kyoto U.
)
,
Kaku Ogawa
(
- Kyoto U.
)

- Nucl.Phys.B 212 (1983) 443-460
•
DOI:
- 10.1016/0550-3213(83)90680-6

Computing the Kac Determinant Using Dual Model Techniques and More About the No - Ghost Theorem

Charles B. Thorn
(
- Florida U.
)

- Nucl.Phys.B 248 (1984) 551,
- Nucl. Phys. B248 ( 1984) 551-569 and Florida Univ. Gainesville - UFTP-84-004 (84,REC.AUG.) 35p
•
DOI:
- 10.1016/0550-3213(84)90611-4

A Detailed Study of the Physical State Conditions in Covariantly Quantized String Theories

Charles B. Thorn
(
- Santa Barbara, KITP
)

- Nucl.Phys.B 286 (1987) 61-77
•
DOI:
- 10.1016/0550-3213(87)90431-7

Covariant Quantization of the String in Dimensions D <= 26 Using a BRS Formulation

Stephen Hwang
(
- Goteborg, ITP
)

- Phys.Rev.D 28 (1983) 2614
•
DOI:
- 10.1103/PhysRevD.28.2614

{BRS} Cohomology in String Theory and the No Ghost Theorem

- Phys.Lett.B 175 (1986) 151-154
•
DOI:
- 10.1016/0370-2693(86)90705-7

Remarks on the Cohomology of the {BRS} Operator in String Theory

M. Henneaux
(
- Brussels U. and
- CECS, Valdivia
)

- Phys.Lett.B 177 (1986) 35-38,
- Phys. Lett. B177 ( 1986) 35-38
•
DOI:
- 10.1016/0370-2693(86)90009-2

Semiinfinite Cohomology and String Theory

I.B. Frenkel
(
- Yale U., Math. Dept.
)
,
H. Garland
(
- Yale U., Math. Dept.
)
,
G.J. Zuckerman
(
- Yale U., Math. Dept.
)

- Proc.Nat.Acad.Sci. 83 (1986) 8442
•
DOI:
- 10.1073/pnas.83.22.8442

$Q$ {BRST} Cohomology: A Mechanism for Getting Rid of Negative Norm States, With an Application to the Bosonic String

Mordechai Spiegelglas
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 283 (1987) 205-216
•
DOI:
- 10.1016/0550-3213(87)90269-0

No ghost theorem and cohomology theorem for strings in arbitrary background

Debashis Ghoshal
(
- Tata Inst.
)
,
Sudipta Mukherji
(
- Tata Inst.
)

- Mod.Phys.Lett.A 6 (1991) 939-947,
- Mod. Phys. Lett. A6 (1991) 939-947 and Bombay Tata Inst. - TIFR-TH-90-39 (90,rec.Nov.) 20 p
•
DOI:
- 10.1142/S0217732391000981

Physical States and Pomeron Poles in the Dual Pion Model

J.H. Schwarz
(
- Princeton U.
)

- Nucl.Phys.B 46 (1972) 61-74,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 98-111
•
DOI:
- 10.1016/0550-3213(72)90201-5

Spectrum Generating Algebra and No Ghost Theorem for the Neveu-schwarz Model

R.C. Brower
(
- MIT, LNS
)
,
K.A. Friedman
(
- MIT, LNS
)

- Phys.Rev.D 7 (1973) 535-539,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 116-120, and in *Bohm, A. et al.: Dynamical groups and spectrum generating algebras, vol. 2* 670-674
•
DOI:
- 10.1103/PhysRevD.7.535