BGWM as Second Constituent of Complex Matrix Model

Earlier we explained that partition functions of various matrix models can be constructed from that of the cubic Kontsevich model, which, therefore, becomes a basic elementary building block in "M-theory" of matrix models. However, the less topical complex matrix model appeared to be an exception: its decomposition involved not only the Kontsevich tau-function but also another constituent, which we now identify as the Brezin-Gross-Witten (BGW) partition function. The BGW tau-function can be represented either as a generating function of all unitary-matrix integrals or as a Kontsevich-Penner model with potential 1/X (instead of X^3 in the cubic Kontsevich model).Comment: 42 page

School de-segregation and the Politics of ‘Forced Integration’

Using the programme for creating the controversial school academies, local governments in the UK have attempted to force an integration of schools with majority white and ethnic minority pupil cohorts via new mergers. This has largely been as a response to analysts’ fears about self-segregation and insufficient community cohesion, following riots in northern towns in 2001 and the spectre of radicalisation among young Muslims following 9/11 and 7/7. An examination of school mergers in Burnley, Blackburn, Leeds and Oldham reveals how they have amplified racial attacks on Muslim pupils and their feelings of insecurity, while also fuelling a backlash against what is perceived by some members of the white working class as a form of social engineering that endangers white privilege