On Dimensional Reduction of Magical Supergravity Theories

Kan, Naoto; Mizoguchi, Shun'ya

doi:10.1016/j.physletb.2016.09.010

On Dimensional Reduction of Magical Supergravity Theories

Naoto Kan
(
- Sokendai, Tsukuba
)
,
Shun'ya Mizoguchi
(
- KEK, Tsukuba
)

May 6, 2016

7 pages

Published in:

Phys.Lett.B 762 (2016) 177-183

Published: Nov 10, 2016

e-Print:

1605.01904 [hep-th]

DOI:

10.1016/j.physletb.2016.09.010

Report number:

KEK-TH-1901

View in:

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Abstract: (Elsevier)

We prove, by a direct dimensional reduction and an explicit construction of the group manifold, that the nonlinear sigma model of the dimensionally reduced three-dimensional A=R magical supergravity is F4(+4)/(USp(6)×SU(2)) . This serves as a basis for the solution generating technique in this supergravity as well as allows to give the Lie algebraic characterizations to some of the parameters and functions in the original D=5 Lagrangian. Generalizations to other magical supergravities are also discussed.

Note:

15 pages

sigma model: nonlinear
algebra: Lie
dimension: 3
supergravity
dimensional reduction

References(43)

Figures(0)

[1]

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

[1]

The SO(8) Supergravity

- Nucl.Phys.B 159 (1979) 141-212
•
DOI:
- 10.1016/0550-3213(79)90331-6

[2]

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

[3]

More on $d=5$ Maxwell-einstein Supergravity: Symmetric Spaces and Kinks

M. Gunaydin
(
- LLNL, Livermore and
- LBL, Berkeley
)
,
G. Sierra
(
- Madrid U.
)
,
P.K. Townsend
(
- Cambridge U.
)

- Class.Quant.Grav. 3 (1986) 763
•
DOI:
- 10.1088/0264-9381/3/5/007

[4]

Broken sigma model isometries in very special geometry

Bernard de Wit
(
- CERN
)
,
Antoine Van Proeyen
(
- Leuven U.
)

- Phys.Lett.B 293 (1992) 94-99
•
e-Print:
- hep-th/9207091
•
DOI:
- 10.1016/0370-2693(92)91485-R

[5]

GROUP DISINTEGRATIONS

B. Julia
(
- Ecole Normale Superieure
)

- Conf.Proc.C 8006162 (1980) 331-350,
- Cambridge Workshop 1980:331

[6]

The Group theory of oxidation

Arjan Keurentjes
(
- Vrije U., Brussels
)

- Nucl.Phys.B 658 (2003) 303-347
•
e-Print:
- hep-th/0210178
•
DOI:
- 10.1016/S0550-3213(03)00178-0

[7]

Unity of superstring dualities

C.M. Hull
(
- Queen Mary, U. of London
)
,
P.K. Townsend
(
- Cambridge U.
)

- ,
- Nucl.Phys.B 438 (1995) 109-137,
•
e-Print:
- hep-th/9410167
•
DOI:
- 10.1201/9781482268737-24

[8]

Three-Dimensional Supergravity Theories

Neil Marcus
(
- Caltech
)
,
John H. Schwarz
(
- Caltech
)

- Nucl.Phys.B 228 (1983) 145,
•
DOI:
- 10.1016/0550-3213(83)90402-9

[9]

The Integrability of $N=16$ Supergravity

H. Nicolai
(
- Karlsruhe U.
)

- Phys.Lett.B 194 (1987) 402,
- IN *COMO 1987, PROCEEDINGS, DIFFERENTIAL GEOMETRICAL METHODS IN THEORETICAL PHYSICS* 405.,
•
DOI:
- 10.1016/0370-2693(87)91072-0