Konishi anomaly and N=1 effective superpotentials from matrix models

We discuss the restrictions imposed by the Konishi anomaly on the matrix model approach to the calculation of the effective superpotentials in N=1 SUSY gauge theories with different matter content. It is shown that they correspond to the anomaly deformed Virasoro $L_0$ constraints .Comment: Latex, 8 pages, misprint and the normalization of the condensate in the elliptic model are correcte

Gauge Theories as String Theories: the First Results

The brief review of the duality between gauge theories and closed strings propagating in the curved space is based on the lectures given at ITEP Winter School - 2005Comment: Latex, 35 pages, Lectures given at ITEP Winter School, March 200

Subword complexes and nil-Hecke moves

For a finite Coxeter group W, a subword complex is a simplicial complex associated with a pair (Q, \rho), where Q is a word in the alphabet of simple reflections, \rho is a group element. We describe the transformations of such a complex induced by nil-moves and inverse operations on Q in the nil-Hecke monoid corresponding to W. If the complex is polytopal, we also describe such transformations for the dual polytope. For W simply-laced, these descriptions and results of \cite{Go} provide an algorithm for the construction of the subword complex corresponding to (Q, \rho) from the one corresponding to (\delta(Q), \rho), for any sequence of elementary moves reducing the word Q to its Demazure product \delta(Q). The former complex is spherical if and only if the latter one is the (-1)-sphere.Comment: 6 pages. Comments welcome! arXiv admin note: substantial text overlap with arXiv:1305.5499; and text overlap with arXiv:1111.3349 by other author

Creating the Poor Law Legacy: Institutional Care for Older People Before the Welfare State

Why, despite the universalist aspiration of the British welfare state, was institutional care for poor older people so frequently condemned as inferior? This article seeks an answer in the period before 1945, when local government reform might potentially have raised quality. It adopts a regional case study approach, arguing that this permits access to relevant quantitative and qualitative evidence obscured in national sources, and that concentration on urban experience has hitherto produced a distorted picture. It finds that in contrast to the expansive municipal medical services targeted at the broader population, in this area the assumptions, administrative structures and material inheritance of the Poor Law impeded change and constrained resources. © 2012 Copyright Taylor and Francis Group, LLC