N=4 superconformal mechanics and the potential structure of AdS spaces

Donets, E.E.; Pashnev, A.; Rivelles, Victor O.; Sorokin, Dmitri P.; Tsulaia, M.

doi:10.1016/S0370-2693(00)00670-5

N=4 superconformal mechanics and the potential structure of AdS spaces

E.E. Donets
(
- Dubna, JINR
)
,
A. Pashnev
(
- Dubna, JINR
)
,
Victor O. Rivelles
(
- Sao Paulo U.
)
,
Dmitri P. Sorokin
(
- Padua U. and
- INFN, Padua
)
,
M. Tsulaia
(
- Dubna, JINR
)

Apr, 2000

12 pages

Published in:

Phys.Lett.B 484 (2000) 337-346

e-Print:

hep-th/0004019 [hep-th]

DOI:

10.1016/S0370-2693(00)00670-5

Report number:

JINR-E2-2000-65,
DFPD-00-TH-19

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Abstract:

The dynamics of an N=4 spinning particle in a curved background is described using the N=4 superfield formalism. The

SU(2)_{local}\times SU(2)_{global}

N=4 superconformal symmetry of the particle action requires the background to be a real "K\"ahler-like" manifold whose metric is generated by a sigma-model superpotential. The anti-de-Sitter spaces are shown to belong to this class of manifolds.

Note:

LaTeX, 12 pages. Report-no: JINR E2-2000-65, DFPD 00/TH/19, published version Subj-class: High Energy Physics - Theory; Differential Geometry

11.15
11.17
Supersymmetric mechanics
Relativistic spinning particles
Anti-de-Sitter spaces
particle: relativistic
supersymmetry: superfield
space-time: anti-de Sitter
symmetry: SU(2) x SU(2)
mechanics: conformal

References(35)

Figures(0)

Partial supersymmetry breaking in N=4 supersymmetric quantum mechanics

- Class.Quant.Grav. 8 (1991) 19-40
•
DOI:
- 10.1088/0264-9381/8/1/008

On n=4 superfield description of relativistic spinning particle mechanics

A.I. Pashnev
(
- Kharkov, KIPT
)
,
Dmitri P. Sorokin
(
- Kharkov, KIPT
)

- Phys.Lett.B 253 (1991) 301-305
•
DOI:
- 10.1016/0370-2693(91)91723-9

N=4 supersymmetric multidimensional quantum mechanics, partial SUSY breaking and superconformal quantum mechanics

- Phys.Rev.D 61 (2000) 043512
•
e-Print:
- hep-th/9907224
•
DOI:
- 10.1103/PhysRevD.61.043512

QUANTUM SUPERCONFORMAL MODEL IN (1,2) SPACE

V.P. Akulov
(
- Kharkov, KIPT
)
,
A.I. Pashnev
(
- Kharkov, KIPT
)

- Theor.Math.Phys. 56 (1983) 862-866,
- Teor.Mat.Fiz. 56 (1983) 344-349,
- Teor. Mat. Fiz. 56 ( 1983) 344-349
•
DOI:
- 10.1007/BF01086252

SUPERCONFORMAL QUANTUM MECHANICS

S. Fubini
(
- CERN
)
,
E. Rabinovici
(
- Hebrew U.
)

- Nucl.Phys.B 245 (1984) 17,
- In *Bohm, A. et al.: Dynamical groups and spectrum generating
•
DOI:
- 10.1016/0550-3213(84)90422-X

GEOMETRIC SUPERFIELD APPROACH TO SUPERCONFORMAL MECHANICS

- J.Phys.A 22 (1989) 4201
•
DOI:
- 10.1088/0305-4470/22/19/015

Black holes and superconformal mechanics

Piet Claus
(
- Leuven U.
)
,
Martijn Derix
(
- Leuven U.
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)
,
Jason Kumar
(
- Stanford U., Phys. Dept.
)
,
Paul K. Townsend
(
- Santa Barbara, KITP
)

et al.

- Phys.Rev.Lett. 81 (1998) 4553-4556
•
e-Print:
- hep-th/9804177
•
DOI:
- 10.1103/PhysRevLett.81.4553

Black holes and quantum mechanics

Renata Kallosh
(
- Stanford U., Phys. Dept.
)

- ,
- In *Goeteborg 1998, Novelties in string theory* 207-213
•
e-Print:
- hep-th/9902007

Superconformal mechanics and nonlinear realizations

- Phys.Rev.D 59 (1999) 084015
•
e-Print:
- hep-th/9810230
•
DOI:
- 10.1103/PhysRevD.59.084015

Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces

Ruth Britto-Pacumio
(
- Harvard U.
)
,
Jeremy Michelson
(
- Rutgers U., Piscataway
)
,
Andrew Strominger
(
- Harvard U.
)
,
Anastasia Volovich
(
- Harvard U. and
- Landau Inst.
)

- NATO Sci.Ser.C 556 (2000) 255-284
•
e-Print:
- hep-th/9911066
•
DOI:
- 10.1007/978-94-011-4303-5_6

Conformal and superconformal mechanics

G. Papadopoulos
(
- King's Coll. London
)

- Class.Quant.Grav. 17 (2000) 3715-3742
•
e-Print:
- hep-th/0002007
•
DOI:
- 10.1088/0264-9381/17/18/310

Local Supersymmetry for Spinning Particles

- Phys.Lett.B 64 (1976) 435,
- ,
- Phys.Lett.B 68 (1977) 488 (erratum)
•
DOI:
- 10.1016/0370-2693(76)90115-5

A Lagrangian Formulation of the Classical and Quantum Dynamics of Spinning Particles

- Nucl.Phys.B 118 (1977) 76-94
•
DOI:
- 10.1016/0550-3213(77)90364-9

Superparticles, Twistors and Siegel Symmetry

- Mod.Phys.Lett.A 4 (1989) 901-908
•
DOI:
- 10.1142/S0217732389001064

From the Superparticle Siegel Symmetry to the Spinning Particle Proper Time Supersymmetry

- Phys.Lett.B 216 (1989) 302-306,
- KHARKOV INST. PHYS.-TECH. ACAD. SCI. - KHFTI-88-59 (88,REC.DEC.) 9p
•
DOI:
- 10.1016/0370-2693(89)91119-2

A Twistor like D = 10 superparticle action with manifest N=8 worldline supersymmetry

A. Galperin
(
- Johns Hopkins U.
)
,
E. Sokatchev
(
- Bonn U.
)

- Phys.Rev.D 46 (1992) 714-725
•
e-Print:
- hep-th/9203051
•
DOI:
- 10.1103/PhysRevD.46.714

Superbranes and superembeddings

Dmitri P. Sorokin
(
- Humboldt U., Berlin and
- Padua U. and
- INFN, Padua
)

- Phys.Rept. 329 (2000) 1-101
•
e-Print:
- hep-th/9906142
•
DOI:
- 10.1016/S0370-1573(99)00104-0

Higher spin symmetries, star product and relativistic equations in AdS space

Mikhail A. Vasiliev
(
- Lebedev Inst.
)

e-Print:
- hep-th/0002183

CLASSICAL AND QUANTUM DYNAMICS OF PARTICLES WITH ARBITRARY SPIN

V.D. Gershun
(
- Kharkov, KIPT
)
,
V.I. Tkach
(
- Kharkov, KIPT
)

- JETP Lett. 29 (1979) 288-291,
- Pisma Zh.Eksp.Teor.Fiz. 29 (1979) 320-324

A Particle Mechanics Description of Antisymmetric Tensor Fields

- Class.Quant.Grav. 6 (1989) 1125
•
DOI:
- 10.1088/0264-9381/6/8/012

Moduli spaces for four-dimensional and five-dimensional black holes

- Phys.Rev.D 62 (2000) 064023
•
e-Print:
- hep-th/0002242
•
DOI:
- 10.1103/PhysRevD.62.064023

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

Potentials and Symmetries of General Gauged N=2 Supergravity: Yang-Mills Models

- Nucl.Phys.B 245 (1984) 89-117
•
DOI:
- 10.1016/0550-3213(84)90425-5

Special Kahler manifolds

Daniel S. Freed
(
- Princeton, Inst. Advanced Study
)

- Commun.Math.Phys. 203 (1999) 31-52
•
e-Print:
- hep-th/9712042
•
DOI:
- 10.1007/s002200050604

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