We discuss duality in N = 1 SUSY gauge theories in Seiberg’s conformal window, (3Nc/2) < Nf < 3Nc. The ’t Hooft consistency conditions – the basic tool for establishing the infrared duality – are considered taking into account higher order α corrections. The conserved (anomaly free) R current is built to all orders in α. Although this current contains all orders in α the ’t Hooft consistency co...

The notion of Equality of Opportunity (EO) has pervaded much of economic and social justice policy and research over the last half century. The sense that differences in agent outcomes that are the consequence of their individual choice and effort are acceptable, whereas variation in agent outcomes that are the consequence of circumstances beyond their control are not has underpinned much gende...

The “convex hull problem” is a catch-all phrase for computing various descriptions of a polytope that is either specified as the convex hull of a finite point set in R or as the intersection of a finite number of halfspaces. We first define the various problems and discuss their mutual relationships (Section 26.1). We discuss the very special case of the irredundancy problem in Section 26.2. We...

This paper proposes secure regenerating codes that are composed of non-secure regenerating codes and a new all-or-nothing transform. Unlike the previous analysis of secure regenerating codes, the security of the proposed codes is analyzed in the sense of the indistinguishability. The advantage of the proposed codes is that the overhead caused by the security against eavesdropping is much less t...