The exact Wilson loop expression for the pure Yang-Mills U (N) theory on a sphere S 2 of radius R exhibits, in the decompactification limit R → ∞, the expected pure area exponentiation. This behaviour can be understood as due to the sum over all instanton sectors. If only the zero instanton sector is considered, in the decompactification limit one exactly recovers the sum of the perturbative se...

The exact Wilson loop expression for the pure Yang-Mills U (N) theory on a sphere S 2 of radius R exhibits, in the decompactification limit R → ∞, the expected pure area exponentiation. This behaviour can be understood as due to the sum over all instanton sectors. If only the zero instanton sector is considered, in the decompactification limit one exactly recovers the sum of the perturbative se...

The exact Wilson loop expression for the pure Yang-Mills U (N) theory on a sphere S 2 of radius R exhibits, in the decompactification limit R → ∞, the expected pure area exponentiation. This behaviour can be understood as due to the sum over all instanton sectors. If only the zero instanton sector is considered, in the decompactification limit one exactly recovers the sum of the perturbative se...

A lagrangian for gauge fields coupled to fermions with the Kac-Moody group as its gauge group yields, for the pure fermions sector, an ideal gas of Kac-Moody fermions. The canonical partition function for the Û(1) case is shown to have a maximum temperature kTM = |λ|/π, where λ is the coupling of the super charge operator G0 to the fermions. This result is similar to the case of strings but unl...

We introduce the notion of duality for an abelian Anderson T-motive M . Main results of the paper (all M have N = 0): 1. Algebraic duality implies analytic duality (Theorem 4.4). Explicitly, this means that a Siegel matrix of the dual of a uniformizable M is the minus transposed of a Siegel matrix of M . 2. There is a 1 – 1 correspondence between pure T-motives of dimension r − 1 and rank r (al...

• Set of defender pure strategies, denoted as E . We will use e(∈ E) to denote a generic pure strategy. Crucially, any e can be viewed as a subset of [n], denoting the protected (a.k.a., covered) targets by this pure strategy. In particular, the defender has multiple security resources; One pure strategy is a feasible allocation of these resources – e is precisely the set of covered targets in ...

Modeling of large amplitude of structures such as slender, flexible cantilever beam and fluid-structure resting on nonlinear elastic foundations or subjected to stretching effects often lead to strongly nonlinear models of Duffing equations which are not amendable to exact analytical methods. In this work, explicit analytical solutions to the large amplitude nonlinear oscillation systems of cub...

On 26 September 2014, Johan van Benthem, Professor of Pure and Applied Logic, delivered his valedictory lecture in the auditoriumof theUniversity of Amsterdam. Modern logic is the broad, exact science of information directed behaviour that plays an important role in connecting the humanities, exact sciences and social sciences at the university, and which forms the bedrock of our information so...