Quantum deformations of space-time SUSY and noncommutative superfield theory

Poincar\'{e} supersymmetries we describe the corresponding star product multiplication for chiral superfields. In order to describe the deformation of chiral vertices in momentum space the integration formula over

\kappa

-deformed chiral superspace is proposed.

Note:

To be published in Proceedings of NATO Advanced Research Workshop on Noncommutative Structures in Mathematics and PHysics, Kiev, Ukraine, 24-27 Sep 2000, (Kluwer Acad. Press)

talk: Kiev 2000/09/24
algebra: Poincare
algebra: conformal
supersymmetry: algebra
superfield
space-time: deformation
differential geometry: noncommutative

References(34)

Figures(0)

Space-time quantization induced by classical gravity

- Phys.Lett.B 331 (1994) 39-44
•
DOI:
- 10.1016/0370-2693(94)90940-7

The Quantum structure of space-time at the Planck scale and quantum fields

- Commun.Math.Phys. 172 (1995) 187-220
•
e-Print:
- hep-th/0303037
•
DOI:
- 10.1007/BF02104515

Quantum gravity and minimum length

Luis J. Garay
(
- Imperial Coll., London
)

- Int.J.Mod.Phys.A 10 (1995) 145-166
•
e-Print:
- gr-qc/9403008
•
DOI:
- 10.1142/S0217751X95000085

Noncommutative open string and D-brane

Chong-Sun Chu
(
- Neuchatel U.
)
,
Pei-Ming Ho
(
- Taiwan, Natl. Taiwan U.
)

- Nucl.Phys.B 550 (1999) 151-168,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 302-316
•
e-Print:
- hep-th/9812219
•
DOI:
- 10.1016/S0550-3213(99)00199-6

Constrained quantization of open string in background B field and noncommutative D-brane

Chong-Sun Chu
(
- Neuchatel U.
)
,
Pei-Ming Ho
(
- Taiwan, Natl. Taiwan U.
)

- Nucl.Phys.B 568 (2000) 447-456
•
e-Print:
- hep-th/9906192
•
DOI:
- 10.1016/S0550-3213(99)00685-9

String theory and noncommutative geometry

- JHEP 09 (1999) 032,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 327-401
•
e-Print:
- hep-th/9908142
•
DOI:
- 10.1088/1126-6708/1999/09/032

Gauge theory on noncommutative spaces

John Madore
(
- Orsay, LPT and
- Munich, Max Planck Inst.
)
,
Stefan Schraml
(
- Munich, Max Planck Inst. and
- Munich U.
)
,
Peter Schupp
(
- Munich U.
)
,
Julius Wess
(
- Munich, Max Planck Inst. and
- Munich U.
)

- Eur.Phys.J.C 16 (2000) 161-167
•
e-Print:
- hep-th/0001203
•
DOI:
- 10.1007/s100520050012

Manifest supersymmetry in noncommutative geometry

Chong-Sun Chu
(
- Neuchatel U.
)
,
Frederic Zamora
(
- Texas U.
)

- JHEP 02 (2000) 022
•
e-Print:
- hep-th/9912153
•
DOI:
- 10.1088/1126-6708/2000/02/022

Some aspects of deformations of supersymmetric field theories

S. Ferrara
(
- CERN
)
,
M.A. Lledo
(
- Turin Polytechnic and
- INFN, Turin
)

- JHEP 05 (2000) 008
•
e-Print:
- hep-th/0002084
•
DOI:
- 10.1088/1126-6708/2000/05/008

A Note on superfields and noncommutative geometry

Seiji Terashima
(
- Tokyo U.
)

- Phys.Lett.B 482 (2000) 276-282
•
e-Print:
- hep-th/0002119
•
DOI:
- 10.1016/S0370-2693(00)00486-X

The Superfield formalism applied to the noncommutative Wess-Zumino model

et al.

- JHEP 10 (2000) 046
•
e-Print:
- hep-th/0007050
•
DOI:
- 10.1088/1126-6708/2000/10/046

Quantum space-time

S. Doplicher
(
- Rome U.
)

- Ann.Inst.H.Poincare Phys.Theor. 64 (1996) 543-553,
- Ann. IHP Phys. Theor. 64 (1996) 543-553

- Annals Phys. 261 224

- J.Phys.A 26 L1109

Quantum deformation of the Poincare supergroup and kappa deformed superspace

- J.Phys.A 27 (1994) 6827-6838
•
e-Print:
- hep-th/9405076
•
DOI:
- 10.1088/0305-4470/27/20/019

k deformation of Poincare superalgebra with classical Lorentz subalgebra and its graded bicrossproduct structure

- J.Phys.A 28 (1995) 2255-2264
•
e-Print:
- hep-th/9411115
•
DOI:
- 10.1088/0305-4470/28/8/017

- J.Math.Phys. 37 3041

Local field theory on kappa Minkowski space, star products and noncommutative translations

- Czech.J.Phys. 50 (2000) 1283-1290,
- Czech. J. Phys. 50 (2000) 1283-1290. In *Prague 2000, Quantum groups and integrable systems* 1283-1290
•
e-Print:
- hep-th/0009120
•
DOI:
- 10.1023/A:1022821310096

Quantum Lie Superalgebras and q Oscillators

- Phys.Lett.B 234 (1990) 72-80
•
DOI:
- 10.1016/0370-2693(90)92004-3

- Commun.Math.Phys. 141 599

Quantum deformations of D = 4 Poincare and Weyl algebra from Q deformed D = 4 conformal algebra

J. Lukierski
(
- Wroclaw U.
)
,
A. Nowicki
(
- Bordeaux U.
)

- Phys.Lett.B 279 (1992) 299-307,
- Wroclaw Univ. - ITP-UWr 91-787 (91/10,rec.Mar.92) 12 p,
- Phys. Lett. B279 (1992) 299-307 and Wroclaw Univ. - ITP-UWr 91-787 (91/10,rec.Mar.92) 12 p
•
DOI:
- 10.1016/0370-2693(92)90396-L

Canonical q deformations of noncompact Lie (super)algebras

V.K. Dobrev
(
- Gottingen U.
)

- J.Phys.A 26 (1993) 1317-1334

Positive energy representations of the conformal quantum algebra

L. Dabrowski
(
- SISSA, Trieste
)
,
V.K. Dobrev
(
- ICTP, Trieste and
- SISSA, Trieste
)
,
R. Floreanini
(
- INFN, Trieste and
- Trieste U.
)
,
V. Husain
(
- ICTP, Trieste
)

- Phys.Lett.B 302 (1993) 215-222
•
e-Print:
- hep-th/9303115
•
DOI:
- 10.1016/0370-2693(93)90387-W

- J.Phys.A 27 385

Quantum Deformations of Conformal Algebras Introducing Fundamental Mass Parameters

- Phys.Lett.B 371 (1996) 215-222
•
e-Print:
- q-alg/9507005
•
DOI:
- 10.1016/0370-2693(96)01604-8

1-25 of 34
1
2
25 / page