Three-dimensional $N=8$ superconformal gravity and its coupling to BLG M2-branes

Gran, Ulf; Nilsson, Bengt E.W.

doi:10.1088/1126-6708/2009/03/074

Three-dimensional $N=8$ superconformal gravity and its coupling to BLG M2-branes

Ulf Gran
(
- Chalmers U. Tech.
)
,
Bengt E.W. Nilsson
(
- Chalmers U. Tech.
)

Sep, 2008

15 pages

Published in:

JHEP 03 (2009) 074

e-Print:

0809.4478 [hep-th]

DOI:

10.1088/1126-6708/2009/03/074

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Abstract: (arXiv)

This paper is concerned with the problem of coupling the N=8 superconformal Bagger-Lambert-Gustavsson (BLG) theory to N=8 conformal supergravity in three dimensions. We start by constructing the on-shell N=8 conformal supergravity in three dimensions consisting of a Chern-Simons type term for each of the gauge fields: the spin connection, the SO(8) R-symmetry gauge field and the spin 3/2 Rarita-Schwinger (gravitino) field. We then describe how to couple this minimally to the BLG theory. The final theory should have the same physical content, i.e., degrees of freedom, as the ordinary BLG theory. We discuss briefly the properties of this 'topologically gauged' BLG theory and why this theory may be useful.

Note:

15 pages

String theory
M-theory
Branes
Chern-Simons theory
supergravity: conformal
dimension: 3
gauge field theory
Chern-Simons term
membrane model
supersymmetry: 8

References(30)

Figures(0)

[1]

Modeling Multiple M2's

- Phys.Rev.D 75 (2007) 045020
•
e-Print:
- hep-th/0611108
•
DOI:
- 10.1103/PhysRevD.75.045020

[2]

Algebraic structures on parallel M2-branes

Andreas Gustavsson
(
- Goteborg, ITP
)

- Nucl.Phys.B 811 (2009) 66-76
•
e-Print:
- 0709.1260
•
DOI:
- 10.1016/j.nuclphysb.2008.11.014

[3]

Gauge symmetry and supersymmetry of multiple M2-branes

- Phys.Rev.D 77 (2008) 065008
•
e-Print:
- 0711.0955
•
DOI:
- 10.1103/PhysRevD.77.065008

[4]

Comments on multiple M2-branes

- JHEP 02 (2008) 105
•
e-Print:
- 0712.3738
•
DOI:
- 10.1088/1126-6708/2008/02/105

[5]

Superconformal Chern-Simons theories

John H. Schwarz
(
- Caltech
)

- JHEP 11 (2004) 078
•
e-Print:
- hep-th/0411077
•
DOI:
- 10.1088/1126-6708/2004/11/078

[6]

M2-branes, 3-Lie Algebras and Plucker relations

G. Papadopoulos
(
- King's Coll. London, Dept. Math
)

- JHEP 05 (2008) 054
•
e-Print:
- 0804.2662
•
DOI:
- 10.1088/1126-6708/2008/05/054

[7]

Constraining Maximally Supersymmetric Membrane Actions

- JHEP 06 (2008) 053
•
e-Print:
- 0804.3078
•
DOI:
- 10.1088/1126-6708/2008/06/053

[8]

Membranes on an Orbifold

- Phys.Rev.Lett. 101 (2008) 041602
•
e-Print:
- 0804.1114
•
DOI:
- 10.1103/PhysRevLett.101.041602

[9]

M2-branes on M-folds

Jacques Distler
(
- Texas U.
)
,
Sunil Mukhi
(
- Tata Inst.
)
,
Constantinos Papageorgakis
(
- Tata Inst.
)
,
Mark Van Raamsdonk
(
- British Columbia U.
)

- JHEP 05 (2008) 038
•
e-Print:
- 0804.1256
•
DOI:
- 10.1088/1126-6708/2008/05/038

[10]

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

Ofer Aharony
(
- Weizmann Inst.
)
,
Oren Bergman
(
- Princeton, Inst. Advanced Study and
- Technion
)
,
Daniel Louis Jafferis
(
- Rutgers U., Piscataway
)
,
Juan Maldacena
(
- Princeton, Inst. Advanced Study
)

- JHEP 10 (2008) 091
•
e-Print:
- 0806.1218
•
DOI:
- 10.1088/1126-6708/2008/10/091

[11]

D = 4 superYang-Mills, D = 5 gauged supergravity, and D = 4 conformal supergravity

Hong Liu
(
- Imperial Coll., London
)
,
Arkady A. Tseytlin
(
- Imperial Coll., London and
- Santa Barbara, KITP
)

- Nucl.Phys.B 533 (1998) 88-108
•
e-Print:
- hep-th/9804083
•
DOI:
- 10.1016/S0550-3213(98)00443-X

[12]

A Locally Supersymmetric and Reparametrization Invariant Action for the Spinning String

- Phys.Lett.B 65 (1976) 471-474,
- In *Schwarz, J.h. ( Ed.): Superstrings, Vol. 1*, 278-281. ( Phys. Lett. B65 ( 1976) 471-474) and Goeteborg Univ. - 76-22 (76,REC.OCT.) 11p
•
DOI:
- 10.1016/0370-2693(76)90445-7

[13]

Quantum Geometry of Fermionic Strings

Alexander M. Polyakov
(
- Landau Inst.
)

- Phys.Lett.B 103 (1981) 211-213,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 291-293,
•
DOI:
- 10.1016/0370-2693(81)90744-9

[14]

TOPOLOGICALLY MASSIVE SUPERGRAVITY

Stanley Deser
(
- Brandeis U.
)
,
J.H. Kay
(
- MIT, Lincoln Lab
)

- Phys.Lett.B 120 (1983) 97-100,
•
DOI:
- 10.1016/0370-2693(83)90631-7

[15]

Conformal Gravity in Three-dimensions as a Gauge Theory

- Phys.Rev.Lett. 62 (1989) 501-504,
- PHYS. REV. LETT. 62 (1989) 501-504 AND PRINCETON UNIV. - PUPT-1109 (88,REC.NOV.) 11p
•
DOI:
- 10.1103/PhysRevLett.62.501