Chern-Simons versus Yang-Mills gaugings in three-dimensions

Nicolai, Hermann; Samtleben, Henning

doi:10.1016/S0550-3213(03)00569-8

Chern-Simons versus Yang-Mills gaugings in three-dimensions

Mar, 2003

15 pages

Published in:

Nucl.Phys.B 668 (2003) 167-178

e-Print:

hep-th/0303213 [hep-th]

DOI:

10.1016/S0550-3213(03)00569-8

Report number:

AEI-2003-029,
ITP-UU-03-13,
SPIN-03-07

View in:

pdf

reference search67 citations

Citations per year

Abstract:

Recently, gauged supergravities in three dimensions with Yang-Mills and Chern-Simons type interactions have been constructed. In this article, we demonstrate that any gauging of Yang-Mills type with semisimple gauge group G_0, possibly including extra couplings to massive Chern-Simons vectors, is equivalent on-shell to a pure Chern-Simons type gauging with non-semisimple gauge group

G_0 \ltimes T \subset G

, where T is a certain translation group, and where G is the maximal global symmetry group of the ungauged theory. We discuss several examples.

Note:

LaTeX2e, 15 pages, 1 figure Report-no: AEI-2003-029, ITP-UU-03/13, SPIN-03/07

04.65.+e
11.15.-q
gauge field theory: Yang-Mills
dimension: 3
Chern-Simons term
supergravity

References(26)

Figures(0)

Dualization of dualities. 1.

E. Cremmer
(
- Ecole Normale Superieure
)
,
B. Julia
(
- Ecole Normale Superieure
)
,
Hong Lu
(
- Ecole Normale Superieure
)
,
C.N. Pope
(
- Texas A-M and
- SISSA, Trieste
)

- Nucl.Phys.B 523 (1998) 73-144
•
e-Print:
- hep-th/9710119
•
DOI:
- 10.1016/S0550-3213(98)00136-9

Domain walls from anti-de Sitter space-time

Hong Lu
(
- Texas A-M and
- SISSA, Trieste
)
,
C.N. Pope
(
- Texas A-M and
- SISSA, Trieste
)
,
P.K. Townsend
(
- Cambridge U.
)

- Phys.Lett.B 391 (1997) 39-46
•
e-Print:
- hep-th/9607164
•
DOI:
- 10.1016/S0370-2693(96)01443-8

Consistent Kaluza-Klein sphere reductions

- Phys.Rev.D 62 (2000) 064028
•
e-Print:
- hep-th/0003286
•
DOI:
- 10.1103/PhysRevD.62.064028

SU(2) reduction of six-dimensional (1,0) supergravity

- Nucl.Phys.B 668 (2003) 237-257
•
e-Print:
- hep-th/0212323
•
DOI:
- 10.1016/S0550-3213(03)00534-0

Matter coupled AdS(3) supergravities and their black strings

- Nucl.Phys.B 573 (2000) 275-290
•
e-Print:
- hep-th/9908089
•
DOI:
- 10.1016/S0550-3213(99)00734-8

Maximal gauged supergravity in three-dimensions

- Phys.Rev.Lett. 86 (2001) 1686-1689
•
e-Print:
- hep-th/0010076
•
DOI:
- 10.1103/PhysRevLett.86.1686

Compact and noncompact gauged maximal supergravities in three-dimensions

- JHEP 04 (2001) 022
•
e-Print:
- hep-th/0103032
•
DOI:
- 10.1088/1126-6708/2001/04/022

N=8 matter coupled AdS(3) supergravities

- Phys.Lett.B 514 (2001) 165-172
•
e-Print:
- hep-th/0106153
•
DOI:
- 10.1016/S0370-2693(01)00779-1

Noncompact Gaugings of $N=8$ Supergravity

C.M. Hull
(
- MIT
)

- Phys.Lett.B 142 (1984) 39,
•
DOI:
- 10.1016/0370-2693(84)91131-6

More Gaugings of $N=8$ Supergravity

C.M. Hull
(
- MIT
)

- Phys.Lett.B 148 (1984) 297-300
•
DOI:
- 10.1016/0370-2693(84)90091-1

A New Gauging of $N=8$ Supergravity

C.M. Hull
(
- MIT
)

- Phys.Rev.D 30 (1984) 760
•
DOI:
- 10.1103/PhysRevD.30.760

Nonsemisimple gaugings of D = 5 N=8 supergravity and FDA.s

L. Andrianopoli
(
- Leuven U. and
- Turin Polytechnic
)
,
F. Cordaro
(
- Leuven U.
)
,
P. Fre'
(
- Turin U. and
- INFN, Turin
)
,
L. Gualtieri
(
- Brussels U.
)

- Class.Quant.Grav. 18 (2001) 395-414
•
e-Print:
- hep-th/0009048
•
DOI:
- 10.1088/0264-9381/18/3/303

Gauging of flat groups in four-dimensional supergravity

L. Andrianopoli
(
- Turin Polytechnic and
- INFN, Turin
)
,
R. D'Auria
(
- Turin Polytechnic and
- INFN, Turin
)
,
S. Ferrara
(
- Turin Polytechnic and
- CERN and
- Frascati
)
,
M.A. Lledo
(
- Turin Polytechnic and
- INFN, Turin
)

- JHEP 07 (2002) 010
•
e-Print:
- hep-th/0203206
•
DOI:
- 10.1088/1126-6708/2002/07/010

New gauged N=8, D = 4 supergravities

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

- Class.Quant.Grav. 20 (2003) 5407-5424
•
e-Print:
- hep-th/0204156
•
DOI:
- 10.1088/0264-9381/20/24/013

On Lagrangians and gaugings of maximal supergravities

- Nucl.Phys.B 655 (2003) 93-126
•
e-Print:
- hep-th/0212239
•
DOI:
- 10.1016/S0550-3213(03)00059-2

Locally supersymmetric D = 3 nonlinear sigma models

- Nucl.Phys.B 392 (1993) 3-38
•
e-Print:
- hep-th/9208074
•
DOI:
- 10.1016/0550-3213(93)90195-U

Calabi-Yau fourfolds with flux and supersymmetry breaking

Marcus Berg
(
- Rome U., Tor Vergata
)
,
Michael Haack
(
- Rome U., Tor Vergata
)
,
Henning Samtleben
(
- Utrecht U.
)

- JHEP 04 (2003) 046
•
e-Print:
- hep-th/0212255
•
DOI:
- 10.1088/1126-6708/2003/04/046

M theory compactified on Calabi-Yau fourfolds with background flux

- Phys.Lett.B 507 (2001) 296-304
•
e-Print:
- hep-th/0103068
•
DOI:
- 10.1016/S0370-2693(01)00464-6

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

Spectrum of D = 6, N=4b supergravity on AdS in three-dimensions x S**3

- Nucl.Phys.B 536 (1998) 110-140
•
e-Print:
- hep-th/9804166
•
DOI:
- 10.1016/S0550-3213(98)00555-0

The Perturbation spectrum of black holes in N=8 supergravity

Finn Larsen
(
- Pennsylvania U.
)

- Nucl.Phys.B 536 (1998) 258-278
•
e-Print:
- hep-th/9805208
•
DOI:
- 10.1016/S0550-3213(98)00564-1

Six-dimensional supergravity on S**3 x AdS(3) and 2-D conformal field theory

Jan de Boer
(
- UC, Berkeley and
- LBL, Berkeley
)

- Nucl.Phys.B 548 (1999) 139-166
•
e-Print:
- hep-th/9806104
•
DOI:
- 10.1016/S0550-3213(99)00160-1

AdS / CFT dualities involving large 2-D N=4 superconformal symmetry

Jan de Boer
(
- Utrecht U. and
- Leiden U.
)
,
Andrea Pasquinucci
(
- Leuven U.
)
,
Kostas Skenderis
(
- Utrecht U.
)

- Adv.Theor.Math.Phys. 3 (1999) 577-614
•
e-Print:
- hep-th/9904073
•
DOI:
- 10.4310/ATMP.1999.v3.n3.a5

D = 5 simple supergravity on AdS(3) x S**2 and N=4 superconformal field theory

- Nucl.Phys.B 574 (2000) 691-718
•
e-Print:
- hep-th/9811147
•
DOI:
- 10.1016/S0550-3213(00)00018-3

N = (0,4) quiver SCFT(2) and supergravity on AdS(3) x S**2

Yuji Sugawara
(
- Tokyo U.
)

- JHEP 06 (1999) 035
•
e-Print:
- hep-th/9903120
•
DOI:
- 10.1088/1126-6708/1999/06/035

1-25 of 26
1
2
25 / page