We provide a proof of the equivalence of N = 1 dynamics obtained by deforming N = 2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain ...

We consider the 2–dimensional Wess–Zumino–Witten (WZW) model in the canonical formalism introduced in [5]. Using an r–s matrix approach to non–ultralocal field theories we find the Poisson algebra of monodromy matrices and of conserved quantities with a new, non–dynamical, r matrix. †[email protected] ‡[email protected] §[email protected]

Economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. The theory of optimal control resulting from the contributio...

I review certain aspects of Hanany-Witten setups and other approaches used to embed (and solve) gauge theories in string theory. Applications covered include dualities in 4 and 3 dimensions, fixed points in 6 dimensions, phase transitions between different geometric backgrounds and dualities between branes and geometry.

The associativity or Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations [1] have been widely discussed in connection with various problems of mathematical physics for over ten years. They have arisen in the context of quantum cohomologies and mirror symmetry, and also with regard to multidimensional supersymmetric gauge field theories. In their most general form these equations may be expresse...

points of the classical control theory which is based on the frequency domain description of the plant, so that the H-infinity control theory has been actively studied in the recent years. It is the design method in the frequency domain based on the modern control theory. However, the H-infinity theory at the present time lacks the identification of the frequency domain. The topics treated here...

Lukasiewicz' infinite-valued logic L has been used by a number of authors to study reasoning with vague, "fuzzy", or uncertain statements ([5], [2], [11], [12]). Scott and, more recently, Katz have also argued that L is appropriate for the logic of degrees of error or degrees of approximation to the truth ([6], p. 421 and [4], p. 773). The aim of this note is to show that L is not appropriate f...

The power set of a domain D can be seen as the function space D ! 2 of all functions in the pointwise order. One computational version thereof is the lifted lower powerdomain, which we can think of as the lattice of Scott-closed subsets or, alternatively, as the order dual of the function space D ! 2]. Therefore, logic and the ordinary power set, as well as its information-theoretic version, re...