We recast the phenomenon of duality cascades in terms of the Cartan matrix associated to the quiver gauge theories appearing in the cascade. In this language, Seiberg dualities for the different gauge factors correspond to Weyl reflections. We argue that the UV behavior of different duality cascades depends markedly on whether the Cartan matrix is affine ADE or not. In particular, we find examp...

Report The aim of this work is to make some investigations concerning duality for mul-tiobjective optimization problems. In order to do this we study first the duality for scalar optimization problems by using the conjugacy approach. This allows us to attach three different dual problems to a primal one. We examine the relations between the optimal objective values of the duals and verify, unde...

A way of covariantizing duality symmetric actions is described. The presence of self–dual fields or, in more general case, duality–symmetric fields in field–theoretical and string models reflects their duality properties whose extreme importance for understanding a full quantum theory has been appreciated during an impetuous development of the duality field happened during last few years. The k...

This study empirically investigates the relationship between the timeliness of the financial reporting and the corporate governance proxies for companies listed on the Tunisian stock exchange during 2009.It investigates the role of the corporate governance mechanisms on the timeliness of corporate financial reporting besides; it investigates the relationship between the company size, leverage, ...

We consider the design of the revenue maximizing mechanism for a seller with a fixed capacity of C units selling over T periods to buyers who arrive over time. The buyers have single unit demand and multi-dimensional private information– both their value for the object and the deadline by which they must make a purchase are unknown to the seller. This contrasts with previous work where buyers h...

Mond-Weir type duals for multiobjective variational problems are formulated. Under generalized vector variational type I invexity assumptions on the functions involved, sufficient optimality conditions, weak and strong duality theorems are proved efficient and properly efficient solutions of the primal and dual problems.