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Seiberg-Witten map for superfields on N = (1/2,0) and N = (1/2,1/2) deformed superspace

Dzo Mikulović1

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In this paper we construct the Seiberg-Witten maps for superfields on the θ−θ deformed superspaces with N = (1/2,0) and N = (1/2,1/2) supersymmety. We show that on the N = (1/2,0) deformed superspace there is no Seiberg-Witten map for antichiral superfields which is at the same time antichiral, local and which preserves the N = (1/2,0) supersymmetry. Solutions which break this requirements are presented. On the N = (1/2,1/2) deformed superspace we show that for the chiral gauge parameter, and therefore also for the chiral matter field, there is no chiral Seiberg-Witten map. Some other possible Seiberg-Witten maps for the superfields are presented.


Keywords

Superspaces

Gauge Symmetry

Non-Commutative Geometry

 

E-print Number: hep-th/0403290

Cited: by |

Refers: to

PACS

11.10.Nx Noncommutative field theory

11.30.Pb Supersymmetry

11.30.Rd Chiral symmetries

Subjects

Particle physics and field theory

Dates

Issue 05 (May 2004)

Received 8 April 2004, accepted for publication 28 May 2004

Published 14 June 2004



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