Nonlocal Wess-Zumino model on nilpotent noncommutative superspace

Abstract

We investigate the theory of the bosonic-fermionic noncommutativity, x ; i , and the WessZumino model deformed by the noncommutativity. Such noncommutativity links well-known space-time noncommutativity to superspace non-anticommutativity. The deformation has the nilpotency. We can explicitly evaluate noncommutative effect in terms of new interactions between component fields. The interaction terms that have Grassmann couplings are induced. The noncommutativity does completely break full N 1 supersymmetry to N 0 theory in Minkowski signature. Similar to the space-time noncommutativity, this theory has higher derivative terms and becomes nonlocal theory. However this nonlocality is milder than the space-time noncommutative field theory. Because of the nilpotent feature of the coupling constants, we find that there are only finite number of Feynman diagrams that give noncommutative corrections at each loop order.

Search for proton decay viap→νK+using260 kiloton·yeardata of Super-Kamiokande

“…There were several improvements in our analysis since our last paper about p → νK + was published in 2005 [10]. As described in the reconstruction section, the time window for hits used to calculate momentum is changed if a Michel electron is closer than 250 nsec from the parent particle.…”

“…The SK standard atmospheric neutrino MC used in the previous neutrino oscillation analyses [17] and proton decay searches [4,10,24,25] is used in this analysis. It is based on the Honda atmospheric neutrino flux [26] and NEUT [21] neutrino-nucleus interaction model.…”

“…The Super-Kamiokande collaboration published a search for p → νK + with 91.7 kton·years exposure of the first phase of the experiment, and set a partial lifetime limit τ(p → νK + ) > 2.3 × 10 33 years [10]. In this paper, we refine the analysis and update the search with 2.8 times greater detector exposure including later phases of the experiment.…”

The impact of recent advances in laboratory astrophysics on our understanding of the cosmos

“…The Super-Kamiokande Collaboration (Nishino et al 2009) has placed limits on the partial lifetimes for modes favored by minimal SU(5) Grand Unified Theories (GUTs), p → e + π 0 and p → µ + π 0 , of 8.2 × 10 33 yr and 6.6 × 10 33 yr, respectively, at a 90% confidence level. The collaboration has also established (Kobayashi et al 2005) stringent limits on modes favored by super-symmetric GUTs, p → µ + K 0 , n →νK 0 , p → µ + K 0 , and p → e + K 0 of 2.23 × 10 34 , 1.3 × 10 32 , 1.3 × 10 33 , and 1.0 × 10 33 yr, respectively. 6.4.2.…”

Field theory on nonanticommutative superspace

“…The Hopf algebra of SUSY transformations is deformed by using the twist approach in [13]. Examples of deformation that introduce nontrivial commutation relations between chiral and fermionic coordinates are discussed in [14]. Some consequences of nontrivial (anti)commutation relations on statistics and S-matrix are analyzed in [15].…”