Properties of gauged sigma models

Nonlinear sigma models arise in supergravity theories with or without matter couplings in various dimensions and they are important in understanding the duality symmetries of M-theory. With this motivation in mind, we review the salient features of gauged and ungauged nonlinear sigma models with or without Wess-Zumino terms for general target spaces in a minimal as well as lifted formulation. Relevant to the question of finding interesting vacua of gauged supergravity theories is the highly constrained potential which arises naturally in these theories. Motivated by this fact, we derive a general and simple formula for a gauge invariant potential of this kind.

talk: College Station 1998/04/05
sigma model: nonlinear
dimension: 2
fermion
gauge field theory
fibre bundle
coset space
supergravity

References(8)

Figures(0)

The N=8 Supergravity Theory. 1. The Lagrangian

- Phys.Lett.B 80 (1978) 48,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 206-209. (PHYS. LETT. B80 (1978) 49-51) AND PARIS EC. NORM. SUP. - LPTENS 78-23 (78,REC.SEP.) 10 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0370-2693(78)90303-9

The Geometry of the gauged sigma model with Wess-Zumino term

- Nucl.Phys.B 353 (1991) 379-426
•
DOI:
- 10.1016/0550-3213(91)90342-U

The Coupling of Yang-Mills to extended objects

- Phys.Lett.B 279 (1992) 265-271
•
e-Print:
- hep-th/9201019
•
DOI:
- 10.1016/0370-2693(92)90391-G

Symmetries of p-branes

R. Percacci
(
- SISSA, Trieste and
- INFN, Trieste
)
,
E. Sezgin
(
- Texas A-M
)

- Int.J.Mod.Phys.A 8 (1993) 5367-5382
•
e-Print:
- hep-th/9210061
•
DOI:
- 10.1142/S0217751X93002137

The Complete $N=2$ , $d=6$ Supergravity With Matter and {Yang-Mills} Couplings

H. Nishino
(
- Maryland U.
)
,
E. Sezgin
(
- ICTP, Trieste
)

- Nucl.Phys.B 278 (1986) 353-379,
•
DOI:
- 10.1016/0550-3213(86)90218-X

$d=8$ Supergravity: Matter Couplings, Gauging and Minkowski Compactification

Abdus Salam
(
- ICTP, Trieste and
- Imperial Coll., London
)
,
E. Sezgin
(
- ICTP, Trieste
)

- Phys.Lett.B 154 (1985) 37,
•
DOI:
- 10.1016/0370-2693(85)91563-1

Gauging the d = 5 Maxwell-Einstein Supergravity Theories: More on Jordan Algebras

- Nucl.Phys.B 253 (1985) 573,
•
DOI:
- 10.1016/0550-3213(85)90547-4

$\sigma$ Models, Duality Transformations and Scalar Potentials in Extended Supergravities

L. Castellani
(
- INFN, Turin
)
,
Anna Ceresole
(
- Turin U. and
- INFN, Turin
)
,
R. D'Auria
(
- CERN
)
,
S. Ferrara
(
- CERN
)
,
P. Fre
(
- CERN
)

et al.

- Phys.Lett.B 161 (1985) 91,
•
DOI:
- 10.1016/0370-2693(85)90615-X