We derive the spacetime superalgebras explicitly from “test” M-brane actions in Mbrane backgrounds to the lowest order in θ via canonical formalism, and discuss various BPS saturated configurations, based on their central charges which depend on the harmonic functions determined by the backgrounds. All the 1/4 supersymmetric intersections of two M-branes obtained previously are deduced from the...

We formulate large N duality of U(N) refined Chern-Simons theory with a torus knot/link in S3. By studying refined BPS states in M-theory, we provide the explicit form of low-energy effective actions of Type IIA string theory with D4-branes on the Ω-background. This form enables us to relate refined Chern-Simons invariants of a torus knot/link in S3 to refined BPS invariants in the resolved con...

Existence of SL(2,Z) duality in toroidally compactified heterotic string theory (or in the N=4 supersymmetric gauge theories), that includes the strong weak coupling duality transformation, implies the existence of certain supersymmetric bound states of monopoles and dyons. We show that the existence of these bound states, in turn, requires the existence of certain normalizable, (anti-)self-dua...

Cardiorenal syndrome is a condition in which a complex interrelationship between cardiac dysfunction and renal dysfunction exists. Despite advances in treatment of both cardiovascular and kidney disease, cardiorenal syndrome remains a major global health problem. Characteristic of the pathophysiology of cardiorenal syndrome is bidirectional cross-talk; mediators/substances activated by the dise...

We calculate the effective action for small velocity scattering of localized 1-branes and 5-branes. Momentum is allowed to flow in the direction along the 1-branes so that the moduli space has only 1/8 of the full supersymmetry. Relative to the more familiar case with the 1-branes delocalized along the 5-branes, this introduces new moduli associated with the motion of the 1-branes along the 5-b...

Franz G. Mertens Physikalisches Institut, Universität Bayreuth, D–95440 Bayreuth, Germany (Dated: November 11, 2002) Abstract The Levinson theorem for two–dimensional scattering is generalized for potentials with inverse square singularities. By this theorem, the number of bound states in a given m–th partial wave is related to the phase shift and the singularity strength of the potential. For ...

A q-ary (n,k)-MDS code, linear or not, satisfies n≤ q+ k−1. A code meeting this bound is said to have maximum length. Using purely combinatorial methods we show that an MDS code with n = q + k− 2 can be uniquely extended to a full length code if and only if q is even. This result is best possible in the sense that there is, for example, a non-extendable 4-ary (5,4)-MDS code. It may be that the ...

Biologists have a somewhat down-to-earth understanding of the learning process and speak of it in terms of biological processes. As Henry Plotkin said "When we come to know something, we have performed an act that is as biological as when we digest something." I have prepared then, a somewhat long background paper on what might be called the biological basis of learning. In it I propose several...