Notes on Super Killing Tensors

Howe, P.S.; Lindström, U.

doi:10.1007/JHEP03(2016)078

Notes on Super Killing Tensors

P.S. Howe
(
- King's Coll. London
)
,
U. Lindström
(
- Uppsala U. and
- Imperial Coll., London
)

Nov 14, 2015

35 pages

Published in:

JHEP 03 (2016) 078

Published: Mar 14, 2016

e-Print:

1511.04575 [hep-th]

DOI:

10.1007/JHEP03(2016)078

Report number:

KCL-MTH-15-07,
UUITP-16-15,
IMPERIAL-TP-UL-2015-02

View in:

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Abstract: (Springer)

The notion of a Killing tensor is generalised to a superspace setting. Conserved quantities associated with these are defined for superparticles and Poisson brackets are used to define a supersymmetric version of the even Schouten-Nijenhuis bracket. Superconformal Killing tensors in flat superspaces are studied for spacetime dimensions 3,4,5,6 and 10. These tensors are also presented in analytic superspaces and super-twistor spaces for 3,4 and 6 dimensions. Algebraic structures associated with superconformal Killing tensors are also briefly discussed.

Note:

34 pages, 2 figures. Clarifying comments to make the article more accessible to mathematicians added. Some new references included

Extended Supersymmetry
Superspaces
Higher Spin Symmetry
tensor: Killing
superspace
conformal
Poisson bracket
sparticle
structure
higher-twist

References(102)

Figures(0)

[1]

The Conformal Group in Superspace

M.F. Sohnius

[2]

Supertwistors and Conformal Supersymmetry

Alan Ferber
(
- Chicago U., EFI and
- Chicago U.
)

- Nucl.Phys.B 132 (1978) 55-64
•
DOI:
- 10.1016/0550-3213(78)90257-2

[3]

Construction of the Minimal Superspace Translation Tensor and the Derivation of the Supercurrent

W. Lang
(
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 179 (1981) 106-128,
- Nucl.Phys.B179 (1981) 106-128 and Muenchen Mpi Phys.Astrophys. - MPI-PAE-PTH 80-18 (80,REC.AUG.) 23 P. (009090)
•
DOI:
- 10.1016/0550-3213(81)90251-0

[4]

Cohomologies and Anomalies in Supersymmetric Theories

L. Bonora
(
- Padua U. and
- INFN, Padua
)
,
P. Pasti
(
- Padua U. and
- INFN, Padua
)
,
M. Tonin
(
- Padua U. and
- INFN, Padua
)

- Nucl.Phys.B 252 (1985) 458-480
•
DOI:
- 10.1016/0550-3213(85)90457-2

[5]

Supercurrents and Superconformal Symmetry

Ken-ichi Shizuya
(
- Tohoku U.
)

- Phys.Rev.D 35 (1987) 1848
•
DOI:
- 10.1103/PhysRevD.35.1848

[6]

A Superspace survey

- Class.Quant.Grav. 12 (1995) 1823-1880
•
DOI:
- 10.1088/0264-9381/12/8/005

[7]

Bristol, UK:

I.L. Buchbinder
,
S.M. Kuzenko

[7]

Hardback edition

[7]

Ideas and Methods of Supersymmetry and Supergravity or A Walk Through Superspace: A Walk Through Superspace

I.L. Buchbinder
(
- Tomsk State U.
)
,
S.M. Kuzenko
(
- Tomsk State U.
)

- ,
- Bristol, UK: IOP (1998) 656 p
•
DOI:
- 10.1201/9780367802530

[8]

Joseph-like ideals and harmonic analysis for osp(m|2n)

K. Coulembier
,
P. Somberg
,
V. Soucek

- Int.Math.Res.Not. 4291 (2014) 4340
•
e-Print:
- 1210.3507

[9]

Supersymmetries and Their Representations

W. Nahm
(
- CERN
)

- ,
- Nucl.Phys.B 135 (1978) 149,
•
DOI:
- 10.1201/9781482268737-2

[10]

Classification of All Simple Graded Lie Algebras Whose Lie Algebra Is Reductive. 1.

- J.Math.Phys. 17 (1976) 1626
•
DOI:
- 10.1063/1.523108

[11]

Classification of All Simple Graded Lie Algebras Whose Lie Algebra Is Reductive. 2. Construction of the Exceptional Algebras

- J.Math.Phys. 17 (1976) 1640
•
DOI:
- 10.1063/1.523109

[12]

A Sketch of Lie Superalgebra Theory

V.G. Kac
(
- Moscow Electronic Machinery Inst.
)

- Commun.Math.Phys. 53 (1977) 31-64
•
DOI:
- 10.1007/BF01609166

[13]

Lie Superalgebras

V.G. Kac
(
- MIT, LNS
)

- Adv.Math. 26 (1977) 8-96
•
DOI:
- 10.1016/0001-8708(77)90017-2

[14]

Kac-dynkin Diagrams and Supertableaux

- J.Math.Phys. 24 (1983) 2253
•
DOI:
- 10.1063/1.525970

[15]

Indecomposable representations of Lie superalgebras

D. Leites

•
e-Print:
- math/0202184

[16]

Higher symmetries of the Laplacian

Michael G. Eastwood
(
- Adelaide U.
)

- Annals Math. 161 (2005) 1645-1665
•
e-Print:
- hep-th/0206233
•
DOI:
- 10.4007/annals.2005.161.1645

[17]

Supergauge Transformations

Abdus Salam
(
- ICTP, Trieste and
- Imperial Coll., London
)
,
J.A. Strathdee
(
- ICTP, Trieste
)

- Nucl.Phys.B 76 (1974) 477-482,
- Also in *Ferrara, S. (ed.): Supersymmetry, vol. 1* 35-40,
- Also in *Salam, A. (ed.), Sezgin, E. (ed.): Supergravities in diverse dimensions, vol. 1* 36-41,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 404-409
•
DOI:
- 10.1016/0550-3213(74)90537-9

[18]

Supergauge Multiplets and Superfields

- Phys.Lett.B 51 (1974) 239,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 41-43. (PHYS. LETT. B51 (1974) 239-241) AND CERN GENEVA - TH. 1863 (74,REC.MAY) 8 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(74)90283-4

[19]

Superfield Equations of Motion

V.I. Ogievetsky
(
- Dubna, JINR
)
,
E. Sokatchev
(
- Dubna, JINR
)

- J.Phys.A 10 (1977) 2021-2030
•
DOI:
- 10.1088/0305-4470/10/11/027

[20]

Superspace Formulation of Supergravity

J. Wess
(
- Karlsruhe U.
)
,
B. Zumino
(
- CERN
)

- Phys.Lett.B 66 (1977) 361-364
•
DOI:
- 10.1016/0370-2693(77)90015-6

[21]

Structure of Supergravity Group

V. Ogievetsky
(
- Dubna, JINR
)
,
E. Sokatchev
(
- Dubna, JINR
)

- Phys.Lett.B 79 (1978) 222,
- Czech.J.Phys.B 29 (1979) 68-72,
- Czech. J. Phys. B29 ( 1979) 68-72 and Dubna Jinr - 11702 (78,REC.JUL.) 11p,
•
DOI:
- 10.1016/0370-2693(78)90228-9

[22]

Superfield Supergravity

Warren Siegel
(
- Harvard U.
)
,
S.James Gates, Jr.
(
- Harvard U.
)

- Nucl.Phys.B 147 (1979) 77-104
•
DOI:
- 10.1016/0550-3213(79)90416-4

[23]

Goldstone fields with spin 1/2

- Theor.Math.Phys. 18 (1974) 28,
- Teor.Mat.Fiz. 18 (1974) 39-50
•
DOI:
- 10.1007/BF01036922

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