Metric-like Lagrangian Formulations for Higher-Spin Fields of Mixed Symmetry

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting extending the metric formulation of linearized gravity, and then the (γ-)trace constraints on fields and gauge parameters are eliminated via the introduction of auxiliary fields. We also display the emergence of Weyl-like symmetries in particular classes of models in low space-time dimensions.

Note:

136 pages, LaTeX. References added. Final version to appear in La Rivista del Nuovo Cimento.

Classical field theories
Field theories in dimensions other than four
space-time: dimension
gravitation: linear
gauge field theory: spin
field equations
metric
thesis
constraint
boson

References(246)

Figures(0)

Construction of a crossing - symmetric, Regge behaved amplitude for linearly rising trajectories

G. Veneziano
(
- CERN
)

- Nuovo Cim.A 57 (1968) 190-197
•
DOI:
- 10.1007/BF02824451

Quantum gravity and the zero slope limit of the generalized Virasoro model

T. Yoneya
(
- Hokkaido U.
)

- Lett.Nuovo Cim. 8 (1973) 951-955
•
DOI:
- 10.1007/BF02727806

Dual Models for Nonhadrons

Joel Scherk
(
- Caltech
)
,
John H. Schwarz
(
- Caltech
)

- Nucl.Phys.B 81 (1974) 118-144
•
DOI:
- 10.1016/0550-3213(74)90010-8

QUANTUM GRAVITY AT TWO LOOPS

Marc H. Goroff
(
- Caltech
)
,
Augusto Sagnotti
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Lett.B 160 (1985) 81-86
•
DOI:
- 10.1016/0370-2693(85)91470-4

The Ultraviolet Behavior of Einstein Gravity

Marc H. Goroff
(
- Caltech
)
,
Augusto Sagnotti
(
- UC, Berkeley and
- LBL, Berkeley
)

- Nucl.Phys.B 266 (1986) 709-736
•
DOI:
- 10.1016/0550-3213(86)90193-8

Strings, gravity and particle physics

Augusto Sagnotti
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Alexander Sevrin
(
- Vrije U., Brussels
)

- Riv.Nuovo Cim. 31 (2008) 7, 423-455,
•
e-Print:
- hep-ex/0209011
•
DOI:
- 10.1393/ncr/i2008-10034-0

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

Classical Superstring Mechanics

Warren Siegel
(
- UC, Berkeley
)

- Nucl.Phys.B 263 (1986) 93-104
•
DOI:
- 10.1016/0550-3213(86)90029-5

Gauge String Fields

Warren Siegel
(
- UC, Berkeley
)
,
Barton Zwiebach
(
- UC, Berkeley
)

- Nucl.Phys.B 263 (1986) 105-128
•
DOI:
- 10.1016/0550-3213(86)90030-1

Gauge Invariance of String Fields

Tom Banks
(
- Tel Aviv U.
)
,
Michael E. Peskin
(
- SLAC
)

- Nucl.Phys.B 264 (1986) 513-547
•
DOI:
- 10.1016/0550-3213(86)90496-7

Covariant Quantization of Superstrings Based on {BRS} Invariance

Nobuyoshi Ohta
(
- Texas U.
)

- Phys.Rev.D 33 (1986) 1681
•
DOI:
- 10.1103/PhysRevD.33.1681

Covariant Second Quantization of Superstrings

Nobuyoshi Ohta
(
- Texas U.
)

- Phys.Rev.Lett. 56 (1986) 440,
- Phys.Rev.Lett. 56 (1986) 1316 (erratum)
•
DOI:
- 10.1103/PhysRevLett.56.440

Gauge Covariant Local Formulation of Free Strings and Superstrings

- Nucl.Phys.B 264 (1986) 573-587
•
DOI:
- 10.1016/0550-3213(86)90499-2

Gauge Covariant Local Formulation of Bosonic Strings

A. Neveu
(
- CERN
)
,
Peter C. West
(
- CERN
)

- Nucl.Phys.B 268 (1986) 125-150
•
DOI:
- 10.1016/0550-3213(86)90204-X

Noncommutative Geometry and String Field Theory

Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 268 (1986) 253-294
•
DOI:
- 10.1016/0550-3213(86)90155-0

Closed string field theory: Quantum action and the B-V master equation

Barton Zwiebach
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 390 (1993) 33-152
•
e-Print:
- hep-th/9206084
•
DOI:
- 10.1016/0550-3213(93)90388-6

Supergravity Theory in 11 Dimensions

E. Cremmer
(
- Ecole Normale Superieure
)
,
B. Julia
(
- Ecole Normale Superieure
)
,
Joel Scherk
(
- Ecole Normale Superieure
)

- ,
- Phys.Lett.B 76 (1978) 409-412,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 202-205. (PHYS. LETT. B76 (1978) 409-412) AND PARIS EC. NORM. SUP. - LPTENS 78-10 (78,REC.MAY) 9 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0370-2693(78)90894-8