Topologically gauged superconformal Chern-Simons matter theories

Gran, Ulf; Greitz, Jesper; Howe, Paul S.; Nilsson, Bengt E.W.

doi:10.1007/JHEP12(2012)046

Topologically gauged superconformal Chern-Simons matter theories

Ulf Gran
(
- Chalmers U. Tech.
)
,
Jesper Greitz
(
- Nordita and
- Royal Inst. Tech., Stockholm
)
,
Paul S. Howe
(
- King's Coll. London, Dept. Math
)
,
Bengt E.W. Nilsson
(
- Chalmers U. Tech.
)

Apr, 2012

46 pages

Published in:

JHEP 12 (2012) 046

e-Print:

1204.2521 [hep-th]

DOI:

10.1007/JHEP12(2012)046

Report number:

KCL-MTH-12-03,
NORDITA-2012-30

View in:

pdf

reference search34 citations

Citations per year

Abstract: (arXiv)

By coupling {\cal N}=8 superconformal matter to {\cal N}=8 superconformal Chern-Simons gravity in three dimensions we obtain theories with novel terms in the scalar potential leading to AdS_3 solutions and superconformal symmetry breaking. If we start from the theory derived by Bagger, Lambert and Gustavsson, our coupled theory either inherits the SO(4) gauge group or reduces it to SO(3). If the construction is instead based on a free matter theory we find that the gravitational topological gauging also requires the introduction of a Chern-Simons gauge sector resulting in a consistent theory for any SO(N) gauge group.

Note:

46 pages, typos corrected, references added, discussion on background solutions in section 2.4 extended

String theory
M-theory
Branes
CFT
matter: conformal
symmetry breaking: conformal
gravitation: topological
potential: scalar
dimension: 3
Chern-Simons term

References(43)

Figures(0)

[1]

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

[2]

Modeling Multiple M2's

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

[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]

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

[5]

Dualities between N = 8 superconformal field theories in three dimensions

Denis Bashkirov
(
- Caltech
)
,
Anton Kapustin
(
- Caltech
)

- JHEP 05 (2011) 074
•
e-Print:
- 1103.3548
•
DOI:
- 10.1007/JHEP05(2011)074

[6]

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

[7]

Aspects of topologically gauged M2-branes with six supersymmetries: towards a 'sequential AdS/CFT'?

Bengt E.W. Nilsson
(
- Chalmers U. Tech.
)

e-Print:
- 1203.5090

[8]

Dual Gravitons in AdS(4) / CFT(3) and the Holographic Cotton Tensor

Sebastian de Haro
(
- Utrecht U.
)

- JHEP 01 (2009) 042
•
e-Print:
- 0808.2054
•
DOI:
- 10.1088/1126-6708/2009/01/042

[9]

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.
)

- JHEP 03 (2009) 074
•
e-Print:
- 0809.4478
•
DOI:
- 10.1088/1126-6708/2009/03/074

[10]

Three-dimensional topologically gauged N=6 ABJM type theories

- JHEP 06 (2010) 057
•
e-Print:
- 0906.1655
•
DOI:
- 10.1007/JHEP06(2010)057

[11]

Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory

- JHEP 04 (2011) 040
•
e-Print:
- 1012.5969
•
DOI:
- 10.1007/JHEP04(2011)040

[12]

Chiral Gravity in Three Dimensions

Wei Li
(
- Harvard U., Phys. Dept.
)
,
Wei Song
(
- Harvard U., Phys. Dept.
)
,
Andrew Strominger
(
- Harvard U., Phys. Dept.
)

- JHEP 04 (2008) 082
•
e-Print:
- 0801.4566
•
DOI:
- 10.1088/1126-6708/2008/04/082

[13]

Warped AdS(3) Black Holes

- JHEP 03 (2009) 130
•
e-Print:
- 0807.3040
•
DOI:
- 10.1088/1126-6708/2009/03/130

[14]

Light-cone analysis of ungauged and topologically gauged BLG theories

Bengt E.W. Nilsson
(
- Chalmers U. Tech.
)

- Class.Quant.Grav. 26 (2009) 175001
•
e-Print:
- 0811.3388
•
DOI:
- 10.1088/0264-9381/26/17/175001

[15]

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

[16]

$D=3$ Conformal Supergravity and Chern-simons Terms

P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Phys.Rev.D 32 (1985) 872,
- Phys. Rev. D32 ( 1985) 872-878
•
DOI:
- 10.1103/PhysRevD.32.872

[17]

Superconformal Gravity in Three-dimensions as a Gauge Theory

U. Lindstrom
(
- SUNY, Stony Brook
)
,
M. Rocek
(
- SUNY, Stony Brook
)

- Phys.Rev.Lett. 62 (1989) 2905
•
DOI:
- 10.1103/PhysRevLett.62.2905

[18]

On relating multiple M2 and D2-branes

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

- JHEP 10 (2008) 067
•
e-Print:
- 0804.1784
•
DOI:
- 10.1088/1126-6708/2008/10/067

[19]

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