A Derivation of the BRST operator for noncritical W strings

Bergshoeff, E.; Sevrin, A.; Shen, X.

doi:10.1016/0370-2693(92)90808-H

A Derivation of the BRST operator for noncritical W strings

E. Bergshoeff
(
- Groningen U.
)
,
A. Sevrin
(
- LBL, Berkeley and
- UC, Berkeley
)
,
X. Shen
(
- CERN
)

Sep, 1992

9 pages

Published in:

Phys.Lett.B 296 (1992) 95-103

Published: 1992

e-Print:

hep-th/9209037 [hep-th]

DOI:

10.1016/0370-2693(92)90808-H

Report number:

UG-8-92,
CERN-TH-6647-92,
UCB-PTH-92-27,
LBL-32806

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Abstract:

We derive the recently proposed BRST charge for non-critical W strings from a Lagragian approach. The basic observation is that, despite appearances, the combination of two classical ``matter'' and ``Toda'' w_3 systems leads to a closed modified gauge algebra, which is of the so-called soft type. Based on these observations, a novel way to construct critical W_3 strings is given.

Note:

Dedicated to F. Cerulus on occasion of his 65th birthday

string model
algebra: W(3)
operator product expansion
quantization
operator: Becchi-Rouet-Stora
Lagrangian formalism

References(28)

Figures(0)

Nonlinearly Extended Virasoro Algebras: New Prospects for Building String Theories

- Nucl.Phys.B 326 (1989) 222-236
•
DOI:
- 10.1016/0550-3213(89)90441-0

Physical states and scaling properties of W gravities and W strings

- Int.J.Mod.Phys.A 7 (1992) 2295-2334
•
DOI:
- 10.1142/S0217751X92001034

On W(3) strings

- Phys.Lett.B 269 (1991) 287-292
•
DOI:
- 10.1016/0370-2693(91)90172-M

The W(3) string spectrum

C.N. Pope
(
- Texas A-M
)
,
L.J. Romans
(
- Caltech, JPL
)
,
E. Sezgin
(
- Texas A-M
)
,
K.S. Stelle
(
- Imperial Coll., London
)

- Phys.Lett.B 274 (1992) 298-308
•
e-Print:
- hep-th/9110015
•
DOI:
- 10.1016/0370-2693(92)91989-M

New realizations of W algebras and W strings

- Mod.Phys.Lett.A 7 (1992) 1835-1842
•
e-Print:
- hep-th/9203024
•
DOI:
- 10.1142/S0217732392001543

Infinite Additional Symmetries in Two-Dimensional Conformal Quantum Field Theory

A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Theor.Math.Phys. 65 (1985) 1205-1213,
- Teor.Mat.Fiz. 65 (1985) 347-359,
- In *Bouwknegt, P. (ed.), Schoutens, K. (ed.): W-symmetry* 221-229, and In *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 104-112. Theor. Math. Phys. 65 (1985) 1205-1213
•
DOI:
- 10.1007/BF01036128

BRS Analysis of Zamolodchikov's Spin Two and Three Current Algebra

Jean Thierry-Mieg
(
- Cambridge U.
)

- Phys.Lett.B 197 (1987) 368,
•
DOI:
- 10.1016/0370-2693(87)90402-3

Quantum {BRST} Charge for Quadratically Nonlinear Lie Algebras

K. Schoutens
(
- Utrecht U.
)
,
A. Sevrin
(
- SUNY, Stony Brook and
- Leuven U.
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Commun.Math.Phys. 124 (1989) 87
•
DOI:
- 10.1007/BF01218470

Gauging the Zamolodchikov $W$ Algebra

C.M. Hull
(
- Queen Mary, U. of London
)

- Phys.Lett.B 240 (1990) 110,
•
DOI:
- 10.1016/0370-2693(90)90417-5

Conformal quantum field theory models in two dimensions having Z3 symmetry

V.A. Fateev
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 280 (1987) 644-660,
- Nucl.Phys.B 280 (1987) 644-660
•
DOI:
- 10.1016/0550-3213(87)90166-0

Realizations of classical and quantum W(3) symmetry

L.J. Romans
(
- Southern California U.
)

- Nucl.Phys.B 352 (1991) 829-848
•
DOI:
- 10.1016/0550-3213(91)90108-A

The Induced action of W(3) gravity

H. Ooguri
(
- Kyoto U., RIMS
)
,
K. Schoutens
(
- SUNY, Stony Brook
)
,
A. Sevrin
(
- SUNY, Stony Brook
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Commun.Math.Phys. 145 (1992) 515-540
•
DOI:
- 10.1007/BF02099396

On the effective action of chiral W(3) gravity

K. Schoutens
(
- SUNY, Stony Brook
)
,
A. Sevrin
(
- SUNY, Stony Brook
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Nucl.Phys.B 371 (1992) 315-328,
- Nucl. Phys. B371 (1992) 315-328 and State Univ. New York Stony Brook - ITP-SB-91-021 (91/07,rec.Aug.) 16 p. (112218)
•
DOI:
- 10.1016/0550-3213(92)90238-7

A New Gauge Theory for $W$ Type Algebras

K. Schoutens
(
- SUNY, Stony Brook
)
,
A. Sevrin
(
- SUNY, Stony Brook
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Phys.Lett.B 243 (1990) 245-249
•
DOI:
- 10.1016/0370-2693(90)90846-X

Quantization of Gauge Theories with Linearly Dependent Generators

- Phys.Rev.D 28 (1983) 2567-2582,
- Phys.Rev.D 30 (1984) 508 (erratum)
•
DOI:
- 10.1103/PhysRevD.28.2567

Closure of the Gauge Algebra, Generalized Lie Equations and Feynman Rules

- Nucl.Phys.B 234 (1984) 106-124
•
DOI:
- 10.1016/0550-3213(84)90227-X

Anomalies and the Batalin-Vilkovisky Lagrangian Formalism

W. Troost
(
- Leuven U.
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)
,
Antoine Van Proeyen
(
- CERN
)

- Nucl.Phys.B 333 (1990) 727-770
•
DOI:
- 10.1016/0550-3213(90)90137-3

Hamiltonian Formalism, Quantization and S Matrix for Supergravity

E.S. Fradkin
(
- Lebedev Inst. and
- British Columbia U.
)
,
Mikhail A. Vasiliev
(
- Lebedev Inst.
)

- Phys.Lett.B 72 (1977) 70-74
•
DOI:
- 10.1016/0370-2693(77)90065-X

Unitarity, Ward Identities, and New Quantization Rules of Supergravity

- Phys.Rev.D 17 (1978) 1501
•
DOI:
- 10.1103/PhysRevD.17.1501

Gauge Invariance in Supergravitation

R.E. Kallosh
(
- Lebedev Inst.
)

- Pisma Zh.Eksp.Teor.Fiz. 26 (1977) 575-578,
- JETP Lett. 26 (1977) 427-429

Modified Feynman Rules in Supergravity

R.E. Kallosh
(
- Lebedev Inst.
)

- Nucl.Phys.B 141 (1978) 141-152,
- Nucl.Phys.B141 (1978) 141-152 and Moscow Lebedev Phys Inst A N - 25 (78,REC.MAY) 24p
•
DOI:
- 10.1016/0550-3213(78)90340-1

Covariant Quantization of Gauge Theories with Open Gauge Algebra

B. de Wit
(
- CERN
)
,
J.W. van Holten
(
- Leiden U.
)

- Phys.Lett.B 79 (1978) 389-393
•
DOI:
- 10.1016/0370-2693(78)90389-1

Quantization of Eleven-dimensional Supergravity

B. de Wit
(
- NIKHEF, Amsterdam
)
,
P. van Nieuwenhuizen
(
- NIKHEF, Amsterdam
)
,
Antoine Van Proeyen
(
- Leuven U.
)

- Phys.Lett.B 104 (1981) 27-30
•
DOI:
- 10.1016/0370-2693(81)90847-9

W gravity anomalies 1: Induced quantum W gravity

C.M. Hull
(
- Queen Mary, U. of London
)

- Nucl.Phys.B 367 (1991) 731-743
•
DOI:
- 10.1016/0550-3213(91)90015-P

Anomaly free W-3 gravity and critical W-3 strings

- Phys.Lett.B 268 (1991) 167-174
•
DOI:
- 10.1016/0370-2693(91)90799-V

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