Recently the quantum hamiltonian reduction was done in the case of general sl(2) embeddings into Lie algebras and superalgebras. In this paper we extend the results to the quantum hamiltonian reduction of N = 1 affine Lie superalgebras in the superspace formalism. We show that if we choose a gauge for the supersymmetry, and consider only certain equivalence classes of fields, then our quantum h...

Given n positive integers a 1.a2• ••• .a,... a probabilistic algorithm for the solution of the equation 1& • 'LajXj=gcd(al.a2.· .• .a,..) is provided. The algorithm has the.following properties: If the distribution j=f of the aj's over an interval [O,2t+l) is uniform or nonincreasing and the density of the aj's n log9/s(k+lie) d I ( ) satisfies the inequality d~l+ k ' then the algorithm succeed...

In the midst of promising perceived benefits, the electronic commerce (EC) environment entails greater challenges than those posed by conventional trade. In addition to privacy and security concerns, researchers and businesses alike are increasingly aware that the lack of trust for online vendors experienced by consumers constitutes a serious barrier to the widespread adoption and successful pr...

Energy efficiency in Wireless Sensor Networks (WSNs) has always been a hot issue and has been studied for many years. Sleep Scheduling (SS) mechanism is an efficient method to manage energy of each node and is capable to prolong the lifetime of the entire network. In this paper a Software-defined Network (SDN) based Sleep Scheduling algorithm SDN-ECCKN is proposed to manage the energy of the ne...