Superconformal Group and Curved Fermionic Twistor Space - INSPIRE

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Superconformal Group and Curved Fermionic Twistor Space

J. Lukierski
(
- ICTP, Trieste
)

Jul, 1978

20 pages

Published in:

J.Math.Phys. 21 (1980) 561

DOI:

10.1063/1.524454

Report number:

IC/78/82

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Abstract: (AIP)

It is shown that the superconformal transformations describe the isometry group of curved fermionic twistor space, with suitably generalized Fubini–Study Hermitian metric. Further, such a geometry is applied to derive a two-dimensional supersymmetric quark–twistor string model, described by the fermionic nonlinear SU(2,2;1) -invariant σ-model.

ALGEBRA: SUPERSYMMETRY
ALGEBRA: CONFORMAL
TRANSFORMATION: CONFORMAL
GROUP THEORY: O(3,1)
GROUP THEORY: SP(4)
GROUP THEORY: U(2,2)
group: de Sitter
FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORY: SUPERSYMMETRY
FIELD THEORY: FERMION

References(40)

Figures(0)

Simple Supersymmetries

- J.Math.Phys. 17 (1976) 228
•
DOI:
- 10.1063/1.522885

The Classification of Graded Lie Algebras

- Phys.Lett.B 61 (1976) 383-384
•
DOI:
- 10.1016/0370-2693(76)90594-3

A Sketch of Lie Superalgebra Theory

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

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

Geometrical Interpretation of Extended Supergravity

- Phys.Lett.B 67 (1977) 439-442
•
DOI:
- 10.1016/0370-2693(77)90439-7

Supergauge Transformations in Four-Dimensions

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

- Nucl.Phys.B 70 (1974) 39-50,
- In *Ferrara, S. (ed.): Supersymmetry, Vol. 1*, 13-24,
•
DOI:
- 10.1016/0550-3213(74)90355-1

All Possible Generators of Supersymmetries of the s Matrix

- Nucl.Phys.B 88 (1975) 257,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 51-68. (NUCL. PHYS. B88 (1975) 257-274) AND PREPRINT - HAAG, R. (74,REC.NOV.) 45 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0550-3213(75)90279-5

Gauging the Graded Conformal Group with Unitary Internal Symmetries

S. Ferrara
(
- ICTP, Trieste and
- Frascati
)
,
M. Kaku
(
- City Coll., N.Y.
)
,
P.K. Townsend
(
- SUNY, Stony Brook
)
,
P. van Nieuwenhuizen
(
- ICTP, Trieste and
- SUNY, Stony Brook
)

- Nucl.Phys.B 129 (1977) 125-134
•
DOI:
- 10.1016/0550-3213(77)90023-2

Twistor algebra

R. Penrose

- J.Math.Phys. 8 (1967) 345
•
DOI:
- 10.1063/1.1705200

Twistor theory: An Approach to the quantization of fields and space-time

R. Penrose
(
- Birkbeck Coll.
)
,
Malcolm A.H. MacCallum
(
- Cambridge U.
)

- Phys.Rept. 6 (1972) 241-316
•
DOI:
- 10.1016/0370-1573(73)90008-2

- Nuovo Cim. 5 942

Algebraic Properties of Extended Supergravity in de Sitter Space

S. Ferrara
(
- Frascati
)

- Phys.Lett.B 69 (1977) 481-483
•
DOI:
- 10.1016/0370-2693(77)90850-4

Particle Spin Dynamics as the Grassmann Variant of Classical Mechanics

F.A. Berezin
(
- Moscow State U.
)
,
M.S. Marinov
(
- Moscow, ITEP
)

- Annals Phys. 104 (1977) 336
•
DOI:
- 10.1016/0003-4916(77)90335-9

- Usp.Fiz.Nauk 21 377

- Proc.Roy.Soc.Lond.A 251 536

On the Quantization of Systems with Anticommutating Variables

R. Casalbuoni
(
- INFN, Florence
)

- Nuovo Cim.A 33 (1976) 115
•
DOI:
- 10.1007/BF02748689

New dual quark models

K. Bardakci
(
- UC, Berkeley
)
,
M.B. Halpern
(
- UC, Berkeley
)

- Phys.Rev.D 3 (1971) 2493
•
DOI:
- 10.1103/PhysRevD.3.2493

New dual models of pions with no tachyon

M.B. Halpern
(
- UC, Berkeley
)

- Phys.Rev.D 4 (1971) 3082-3083
•
DOI:
- 10.1103/PhysRevD.4.3082

On the physical interpretation and representation-theoretic analysis of the conformal transformations of space and time

H.A. Kastrup
(
- Munich U.
)

- Annalen Phys. 464 (1962) 388-428,
- Annalen Phys. 9 (1962) 388-428
•
DOI:
- 10.1002/andp.19624640706

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

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

The Graded Lie Groups SU(2,2/1) and OSP(1/4)

Feza Gursey
(
- Yale U.
)
,
Louis Marchildon
(
- Yale U.
)

- J.Math.Phys. 19 (1978) 942
•
DOI:
- 10.1063/1.523797

Spontaneous symmetry breaking and nonlinear invariant Lagrangians: Applications to SU(2) $\otimes$ U(1) and Osp(1/4)

Feza Gürsey
(
- Yale U.
)
,
Louis Marchildon
(
- Yale U.
)

- Phys.Rev.D 17 (1978) 2038
•
DOI:
- 10.1103/PhysRevD.17.2038

A Possible Interpretation of Theories Involving Grassmann Variables

A. Barducci
(
- Florence U. and
- INFN, Florence
)
,
R. Casalbuoni
(
- Johns Hopkins U. and
- INFN, Florence
)
,
L. Lusanna
(
- INFN, Florence
)

- Lett.Nuovo Cim. 19 (1977) 581
•
DOI:
- 10.1007/BF02745002

Quantized space-time

Hartland S. Snyder
(
- Northwestern U.
)

- Phys.Rev. 71 (1947) 38-41,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 3-6
•
DOI:
- 10.1103/PhysRev.71.38

Spin 1/2 Wave Equation in De Sitter Space

F. Gursey
(
- Middle East Tech. U., Ankara and
- Columbia U.
)
,
T.D. Lee
(
- Middle East Tech. U., Ankara and
- Columbia U.
)

- Proc.Nat.Acad.Sci. 49 (1963) 179-186,
- In *Lee, T.D.: Selected papers, vol. 2*, 17-24
•
DOI:
- 10.1073/pnas.49.2.179

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