POSITIVE ENERGY WITHOUT SUPERSYMMETRY

Boucher, W.

doi:10.1016/0550-3213(84)90394-8

POSITIVE ENERGY WITHOUT SUPERSYMMETRY

W. Boucher
(
- Cambridge U.
)

Feb, 1984

15 pages

Published in:

Nucl.Phys.B 242 (1984) 282-296

Published: 1984

DOI:

10.1016/0550-3213(84)90394-8

Report number:

Print-84-0283 (CAMBRIDGE)

View in:

AMS MathSciNet

reference search112 citations

Citations per year

Abstract: (Elsevier)

Witten's positive energy theorem and its generalizations can be viewed as stating that supersymmetric solutions of any supergravity theory are stable. In this paper we give a criterion to test the stability of non-supersymmetric solutions of supergravity theories and solutions of theories which cannot be embedded in a supergravity theory. Previously some of these solutions might have been considered to be unstable. In particular, we show that the non-supersymmetric stationary point of the scalar potential of the gauged N = 5 supergravity theory is stable. We also give an elegant derivation of the Breitenlohner-Freedman condition for (small fluctuation) stability.

SUPERGRAVITY
FIELD EQUATIONS: SOLUTION
MATHEMATICAL METHODS: DIFFERENTIAL GEOMETRY

References(20)

Figures(0)

A Simple Proof of the Positive Energy Theorem

Edward Witten
(
- Princeton U.
)

- Commun.Math.Phys. 80 (1981) 381,
- Commun. Math. Phys. 80 ( 1981) 381-402
•
DOI:
- 10.1007/BF01208277

A Bogomolny Bound for General Relativity and Solitons in N=2 Supergravity

G.W. Gibbons
(
- Cambridge U.
)
,
C.M. Hull
(
- Cambridge U.
)

- Phys.Lett.B 109 (1982) 190-194
•
DOI:
- 10.1016/0370-2693(82)90751-1

The Stability of Gauged Supergravity

- Nucl.Phys.B 218 (1983) 173,
- Nucl. Phys. B218 ( 1983) 173-190 and Preprint - GIBBON, G.W.
•
DOI:
- 10.1016/0550-3213(83)90480-7

The Positivity of Gravitational Energy and Global Supersymmetry

C.M. Hull
(
- Cambridge U.
)

- Commun.Math.Phys. 90 (1983) 545
•
DOI:
- 10.1007/BF01216185

SUPERSYMMETRIC SOLITONS

W. Boucher
(
- Cambridge U.
)

- Phys.Lett.B 132 (1983) 88-94
•
DOI:
- 10.1016/0370-2693(83)90228-9

The Existence of Multi - Monopole Solutions to the Nonabelian, {Yang-Mills} Higgs Equations for Arbitrary Simple Gauge Groups

Clifford Henry Taubes
(
- Harvard U.
)

- Commun.Math.Phys. 80 (1981) 343
•
DOI:
- 10.1007/BF01208275

Construction of Instantons

M.F. Atiyah
(
- Oxford U.
)
,
Nigel J. Hitchin
(
- Oxford U.
)
,
V.G. Drinfeld
(
- Steklov Math. Inst., Moscow
)
,
Yu.I. Manin
(
- Steklov Math. Inst., Moscow
)

- Phys.Lett.A 65 (1978) 185-187,
- Reprinted in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 808-810, and in *Atiyah, M.: Collected works, vol. 5* 23-25,
•
DOI:
- 10.1016/0375-9601(78)90141-X

A DESCRIPTION OF INSTANTONS

V.G. Drinfeld
(
- Moscow, ITEP
)
,
Yu.I. Manin
(
- Moscow, ITEP
)

- Commun.Math.Phys. 63 (1978) 177
•
DOI:
- 10.1007/BF01220851

A New gravitational energy expression with a simple positivity proof

James A. Nester
(
- Alberta U.
)

- Phys.Lett.A 83 (1981) 241
•
DOI:
- 10.1016/0375-9601(81)90972-5

Positive Mass Theorems for Black Holes

G.W. Gibbons
(
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)
,
Gary T. Horowitz
(
- Princeton, Inst. Advanced Study
)
,
Malcolm J. Perry
(
- Princeton U.
)

- Commun.Math.Phys. 88 (1983) 295
•
DOI:
- 10.1007/BF01213209

Stability of Gravity with a Cosmological Constant

L.F. Abbott
(
- CERN
)
,
Stanley Deser
(
- CERN
)

- Nucl.Phys.B 195 (1982) 76-96
•
DOI:
- 10.1016/0550-3213(82)90049-9

Quantization of Newton's Constant in Certain Supergravity Theories

Edward Witten
(
- Princeton U.
)
,
Jonathan Bagger
(
- Princeton U.
)

- Phys.Lett.B 115 (1982) 202-206
•
DOI:
- 10.1016/0370-2693(82)90644-X

Supersymmetry and Kahler Manifolds

B. Zumino
(
- CERN
)

- Phys.Lett.B 87 (1979) 203,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 206-209. (PHYS. LETT. B87 (1979) 203-206) AND CERN GENEVA - TH. 2733 (79,REC.SEP.) 10 P. CERN GENEVA - TH. 2733(ADD.) (79,REC.SEP.) 2 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(79)90964-X

Geometrical Structure and Ultraviolet Finiteness in the Supersymmetric Sigma Model

Luis Alvarez-Gaume
(
- MIT and
- SUNY, Stony Brook
)
,
Daniel Z. Freedman
(
- MIT and
- SUNY, Stony Brook
)

- Commun.Math.Phys. 80 (1981) 443
•
DOI:
- 10.1007/BF01208280

Extended Supergravity With Local SO(5) Invariance

B. de Wit
(
- NIKHEF, Amsterdam
)
,
H. Nicolai
(
- CERN
)

- Nucl.Phys.B 188 (1981) 98-108
•
DOI:
- 10.1016/0550-3213(81)90107-3

Positive Energy in anti-De Sitter Backgrounds and Gauged Extended Supergravity

Peter Breitenlohner
(
- MIT
)
,
Daniel Z. Freedman
(
- MIT
)

- Phys.Lett.B 115 (1982) 197-201
•
DOI:
- 10.1016/0370-2693(82)90643-8

Stability in Gauged Extended Supergravity

Peter Breitenlohner
(
- MIT
)
,
Daniel Z. Freedman
(
- MIT
)

- Annals Phys. 144 (1982) 249
•
DOI:
- 10.1016/0003-4916(82)90116-6

$N=2$ Supergravity Theory With a Gauged Central Charge

Cosmas K. Zachos
(
- Caltech
)

- Phys.Lett.B 76 (1978) 329-332
•
DOI:
- 10.1016/0370-2693(78)90799-2

Gravitational Effects on and of Vacuum Decay

- Phys.Rev.D 21 (1980) 3305
•
DOI:
- 10.1103/PhysRevD.21.3305

- Phys.Rev.Lett. 48 1771