Theory Seminar

DATE: 2005-06-07 11:00 -
PLACE: Kenkyu Honkan 2F RM220
TITLE: Deformed supersymmetric field theory on nilpotent noncommutative superspace
CONTACT: Tango
SPEAKER: Dr. Shin Sasaki  (Tokyo Metropolitan Univ.)
LANGUAGE: Japanese
ABSTRACT: We investigate deformed supersymmetric model on N=1 four dimensional superspace in which bosonic-fermionic noncommutativity [x¦Ì, ¦È¦Á] = i ¦Ë¦Ì¦Á is realized. This deformation intertwines ordinary space-time noncommutative field theory and recently proposed N=1/2 non-(anti)commutative theory. This deformation is nilpotent and we can explicitly evaluate noncommutative effect by means of new interaction between component fields. Difference is that this noncommutativity does break full N=1 SUSY giving completely broken N=0 theory for Minkowski signature and deformation terms have Grassmann coupling. Similar to space-time noncommutativity, there cannot help being higher derivative theory and will be non-local. But this non-locality is milder than space-time noncommutative field theory. Despite of complicated Moyal-Weyl product, we find that equation of motion for auxiliary field can be solved for Wess-Zumino model. And due to the nilpotent feature of coupling constant, we can see that there are only finite number of Feynman diagrams that gives noncommutative correction at each loop order.

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