Conformal invariance from non-conformal gravity

We discuss the conditions under which classically conformally invariant models in four dimensions can arise out of non-conformal (Einstein) gravity. As an `existence proof' that this is indeed possible we show how to derive N=4 super Yang Mills theory with any compact gauge group G from non-conformal gauged N=4 supergravity as a special flat space limit. We stress the role that the anticipated UV finiteness of the (so far unknown) underlying theory of quantum gravity would have to play in such a scheme, as well as the fact that the masses of elementary particles would have to arise via quantum gravitational effects which mimic the conformal anomalies of standard (flat space) UV divergent quantum field theory.

11.30.Ly
04.65.+e
11.25.Hf
invariance: conformal
anomaly: conformal
quantum gravity
supersymmetry: transformation
supergravity
gauge field theory

References(37)

Figures(0)

Finite component field representations of the conformal group

G. Mack
(
- Munich U. and
- ICTP, Trieste
)
,
Abdus Salam
(
- ICTP, Trieste
)

- Annals Phys. 53 (1969) 174-202
•
DOI:
- 10.1016/0003-4916(69)90278-4

A New improved energy - momentum tensor

Curtis G. Callan, Jr.
(
- Princeton, Inst. Advanced Study
)
,
Sidney R. Coleman
(
- Harvard U.
)
,
Roman Jackiw
(
- MIT, LNS
)

- Annals Phys. 59 (1970) 42-73
•
DOI:
- 10.1016/0003-4916(70)90394-5

On the Advancements of Conformal Transformations and their Associated Symmetries in Geometry and Theoretical Physics

H.A. Kastrup
(
- DESY
)

- Annalen Phys. 17 (2008) 631-690
•
e-Print:
- 0808.2730
•
DOI:
- 10.1002/andp.200810324

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

Sidney R. Coleman
(
- Harvard U.
)
,
Erick J. Weinberg
(
- Harvard U.
)

- Phys.Rev.D 7 (1973) 1888-1910,
- Also in *Mohapatra, R. N. ( Ed.), Lai, C. H. ( Ed.): Gauge Theories Of Fundamental Interactions*, 57-79,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 589-611.
•
DOI:
- 10.1103/PhysRevD.7.1888

Electroweak Higgs Potentials and Vacuum Stability

Marc Sher
(
- Washington U., St. Louis
)

- Phys.Rept. 179 (1989) 273-418
•
DOI:
- 10.1016/0370-1573(89)90061-6

- Phys.Lett.B 195 207

Dilatons in Flat and Curved Space-time

W. Buchmuller
(
- Hannover U. and
- DESY
)
,
N Dragon
(
- Hannover U. and
- Karlsruhe U.
)

- Nucl.Phys.B 321 (1989) 207-231
•
DOI:
- 10.1016/0550-3213(89)90249-6

Symmetry breaking and mass bounds in the standard model with hidden scale invariance

W. Buchmuller
(
- Santa Barbara, KITP
)
,
C. Busch
(
- Hannover U.
)

- Nucl.Phys.B 349 (1991) 71-90
•
DOI:
- 10.1016/0550-3213(91)90188-4

Quantum scale invariance, cosmological constant and hierarchy problem

- Phys.Lett.B 671 (2009) 162-166
•
e-Print:
- 0809.3406
•
DOI:
- 10.1016/j.physletb.2008.11.041

Scale invariance, unimodular gravity and dark energy

- Phys.Lett.B 671 (2009) 187-192
•
e-Print:
- 0809.3395
•
DOI:
- 10.1016/j.physletb.2008.11.054

Broken scale invariance in the standard model

e-Print:
- hep-th/0403039

Extended Conformal Supergravity

- Nucl.Phys.B 182 (1981) 173-204
•
DOI:
- 10.1016/0550-3213(81)90465-X

Supersymmetric Yang-Mills Theories

Lars Brink
(
- Caltech
)
,
John H. Schwarz
(
- Caltech
)
,
Joel Scherk
(
- Ecole Normale Superieure
)

- Nucl.Phys.B 121 (1977) 77-92
•
DOI:
- 10.1016/0550-3213(77)90328-5

Supersymmetry, Supergravity Theories and the Dual Spinor Model

F. Gliozzi
(
- Ecole Normale Superieure
)
,
Joel Scherk
(
- Ecole Normale Superieure
)
,
David I. Olive
(
- CERN and
- Bohr Inst.
)

- Nucl.Phys.B 122 (1977) 253-290,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 300-337,
- In *Ferrara, S. (ed.): Supersymmetry, Vol. 2*, 1209-1246,
- In *Schellekens, A.N. (ed.): Superstring construction* 33-70
•
DOI:
- 10.1016/0550-3213(77)90206-1

Coupling of Yang-Mills to N=4, D=4 Supergravity

- Phys.Lett.B 155 (1985) 71,
•
DOI:
- 10.1016/0370-2693(85)91034-2

Gauge Matter Coupling in $N=4$ Supergravity

M. de Roo
(
- Groningen U.
)
,
P. Wagemans
(
- Groningen U.
)

- Nucl.Phys.B 262 (1985) 644,
•
DOI:
- 10.1016/0550-3213(85)90509-7

Gauged N=4 supergravities

- JHEP 05 (2006) 034
•
e-Print:
- hep-th/0602024
•
DOI:
- 10.1088/1126-6708/2006/05/034

Multiple Membranes from Gauged Supergravity

- JHEP 08 (2008) 091
•
e-Print:
- 0806.2584
•
DOI:
- 10.1088/1126-6708/2008/08/091

N=4 Yang-Mills Theory on the Light Cone

- Nucl.Phys.B 212 (1983) 401-412
•
DOI:
- 10.1016/0550-3213(83)90678-8

The Superconformal Gaugings in Three Dimensions

Eric A. Bergshoeff
(
- Groningen U.
)
,
Olaf Hohm
(
- Groningen U.
)
,
Diederik Roest
(
- Barcelona U., ECM
)
,
Henning Samtleben
(
- Lyon, Ecole Normale Superieure
)
,
Ergin Sezgin
(
- Texas A-M
)

- JHEP 09 (2008) 101
•
e-Print:
- 0807.2841
•
DOI:
- 10.1088/1126-6708/2008/09/101

On the Effective Potential for the Scalar Multiplet in the Supersymmetric phi**3 Model

Kazuo Fujikawa
(
- Karlsruhe U. and
- DESY
)
,
Wolfdieter Lang
(
- Karlsruhe U.
)

- Nucl.Phys.B 88 (1975) 77-85
•
DOI:
- 10.1016/0550-3213(75)90526-X

The Supersymmetric Effective Potential

Peter C. West
(
- Imperial Coll., London
)

- Nucl.Phys.B 106 (1976) 219,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 264-272. (NUCL. PHYS. B106 (1976) 219-227) AND LONDON IMP. COLL. - ICTP-75-03 (76,REC.FEB.) 16 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(76)90378-3