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Finite supersymmetry transformations

Nevena Ilieva
(
- CERN and
- Vienna U.
)
,
Heide Narnhofer
(
- Vienna U.
)
,
Walter E. Thirring
(
- Vienna U. and
- Schrodinger Inst., Vienna
)

Dec, 2003

19 pages

Published in:

Eur.Phys.J.C 35 (2004) 119-127

Published: 2004

e-Print:

quant-ph/0401139 [quant-ph]

DOI:

10.1140/epjc/s2004-01748-x

Report number:

UWTHPH-2003-37,
UWThPh-2003-37

View in:

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Abstract:

We investigate simple examples of supersymmetry algebras with real and Grassmann parameters. Special attention is payed to the finite supertransformations and their probability interpretation. Furthermore we look for combinations of bosons and fermions which are invariant under supertransformations. These combinations correspond to states that are highly entangled.

Note:

19 pages LaTeX, 2 figures

supersymmetry: transformation
transformation: finite
group theory: representation
phase space: Fock space
Wess-Zumino model
Hamiltonian formalism
numerical calculations

References(12)

Figures(2)

Dynamical Breaking of Supersymmetry

Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 188 (1981) 513,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 443-484. (NUCL. PHYS. B188 (1981) 513-554) AND PREPRINT - WITTEN, E. (REC.JUL.81) 72 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(81)90006-7

SUPERSYMMETRY AND LIE ALGEBRAS

R.Y. Levine
(
- Michigan U.
)
,
Y. Tomozawa
(
- Michigan U.
)

- J.Math.Phys. 23 (1982) 1415
•
DOI:
- 10.1063/1.525532

Temperature and Supersymmetry

- Nucl.Phys.B 178 (1981) 331-360
•
DOI:
- 10.1016/0550-3213(81)90412-0

Supersymmetry and Positive Temperature for Simple Systems

L. Van Hove
(
- CERN and
- Leiden U.
)

- Nucl.Phys.B 207 (1982) 15-28
•
DOI:
- 10.1016/0550-3213(82)90133-X

Spontaneous collapse of supersymmetry

Detlev Buchholz
(
- Hamburg U.
)
,
Izumi Ojima
(
- Kyoto U., RIMS
)

- Nucl.Phys.B 498 (1997) 228-242
•
e-Print:
- hep-th/9701005
•
DOI:
- 10.1016/S0550-3213(97)00274-5

A Supersymmetric Generalization of Von Neumann's Theorem

H. Grosse
(
- Vienna U.
)
,
L. Pittner
(
- Graz U.
)

- J.Math.Phys. 29 (1988) 110
•
DOI:
- 10.1063/1.528163

Supersymmetry breaking and the Jaynes-Cummings model

H. Grosse
(
- Vienna U.
)
,
E. Langmann
(
- British Columbia U.
)

- Phys.Lett.A 176 (1993) 307-312
•
DOI:
- 10.1016/0375-9601(93)90924-O

On the implementation of supersymmetry

Detlev Buchholz
(
- Gottingen U.
)

- Lect.Notes Phys. 539 (2000) 211-220
•
e-Print:
- hep-th/9812179
•
DOI:
- 10.1007/3-540-46700-9_14

Noncommutative superspace, N = 1/2 supersymmetry, field theory and string theory

Nathan Seiberg
(
- Princeton, Inst. Advanced Study
)

- JHEP 06 (2003) 010
•
e-Print:
- hep-th/0305248
•
DOI:
- 10.1088/1126-6708/2003/06/010

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

Index of a Family of Dirac Operators on Loop Space

- Commun.Math.Phys. 112 (1987) 75
•
DOI:
- 10.1007/BF01217680

Supersymmetry and Spin Systems

H. Nicolai
(
- Karlsruhe U.
)

- J.Phys.A 9 (1976) 1497-1506
•
DOI:
- 10.1088/0305-4470/9/9/010