We define a weak-strong coupling transformation based on the Legendre transformation of the effective action. In the case of N = 2 supersymmetric Yang-Mills theory, this coincides with the duality transform on the low energy effective action considered by Seiberg and Witten. This Legendre transform interpretation of duality generalizes directly to the full effective action, and in principle to ...

In this paper we study a discrete multi-dimensional version of Aubry-Mather theory. We set this problem as an infinite dimensional linear programming problem and study its relations to Monge-Kantorowich optimal transport. The dual problem turns out to be a discrete analog of the Hamilton-Jacobi equations. As in optimal transport, Monge-Ampére equations also play a role in this problem. We prese...

Given an undirected graph G = (N,E), a subset T of its nodes and an undirected graph (T, S), G and (T, S) together are often called a network. A collection of paths in G whose end-pairs lie in S is called an integer multiflow. When these paths are allowed to have fractional weight, under the constraint that the total weight of the paths traversing a single edge does not exceed 1, we have a frac...

in this paper, we try to determine the status of the relation between dahr world and matrial world. the conclusion shows the subjective duality and objective unity of dahr and material entities. two interpretations of this duality can be suggested. in the first interpretation, this unity, and the duality supposed, are explained on the basis of different intellectual cognition of immaterial and ...

The main aim of this paper is to deal with a fuzzy version of Farkas lemma involving trapezoidal fuzzy numbers. In turns to that the fuzzy linear programming and duality theory on these problems can be used to provide a constructive proof for Farkas lemma. Keywords Farkas Lemma, Fuzzy Linear Programming, Duality, Ranking Functions.

In this paper, we establish weak and strong duality theorems for a pair of multiobjective symmetric dual problems. This removes several omissions in the paper "Symmetric and self duality in vector optimization problem, Applied Mathematics and Computation 183 (2006) 1121-1126".

Feynman described the double slit experiment as "a phenomenon which is impossible, absolutely impossible, to explain in any classical way and which has in it the heart of quantum mechanics". The double-slit experiment, performed one photon at a time, dramatically demonstrates the particle-wave duality of quantum objects by generating a fringe pattern corresponding to the interference of light (...

The AdS/CFT correspondence realises the holographic principle where information in bulk of a space is encoded at its border. We are yet long way from full mathematical construction AdS/CFT, but toy models form quantum error correcting codes (HQECC) have replicated some interesting features correspondence. In this work we construct new HQECCs built random stabilizer tensors that describe duality...

In the path integral expression for a Feynman propagator of a spinless particle of mass m , the path integral amplitude for a path of proper length R(x ,x8ugmn) connecting events x and x8 in a spacetime described by the metric tensor gmn is exp $2@mR(x ,x8ugmn)#%. In a recent paper, assuming the path integral amplitude to be invariant under the duality transformation R→(LP 2 /R), Padmanabhan ha...

Thermoelectric transport is traditionally analyzed using relations imposed by time-reversal symmetry, ranging from Onsager’s results to fluctuation relations in counting statistics. In this paper, we show that a recently discovered duality relation for fermionic systems—deriving from the fundamental fermion-parity superselection principle of quantum many-particle systems—provides new insights i...