The W_N minimal model classification

We first rigourously establish, for any N, that the toroidal modular invariant partition functions for the (not necessarily unitary) W_N(p,q) minimal models biject onto a well-defined subset of those of the SU(N)xSU(N) Wess-Zumino-Witten theories at level (p-N,q-N). This permits considerable simplifications to the proof of the Cappelli-Itzykson-Zuber classification of Virasoro minimal models. More important, we obtain from this the complete classification of all modular invariants for the W_3(p,q) minimal models. All should be realised by rational conformal field theories. Previously, only those for the unitary models, i.e. W_3(p,p+1), were classified. For all N our correspondence yields for free an extensive list of W_N(p,q) modular invariants. The W_3 modular invariants, like the Virasoro minimal models, all factorise into SU(3) modular invariants, but this fails in general for larger N. We also classify the SU(3)xSU(3) modular invariants, and find there a new infinite series of exceptionals.Comment: 25 page

On Fusion Algebras and Modular Matrices

We consider the fusion algebras arising in e.g. Wess-Zumino-Witten conformal field theories, affine Kac-Moody algebras at positive integer level, and quantum groups at roots of unity. Using properties of the modular matrix $S$, we find small sets of primary fields (equivalently, sets of highest weights) which can be identified with the variables of a polynomial realization of the $A_r$ fusion algebra at level $k$. We prove that for many choices of rank $r$ and level $k$, the number of these variables is the minimum possible, and we conjecture that it is in fact minimal for most $r$ and $k$. We also find new, systematic sources of zeros in the modular matrix $S$. In addition, we obtain a formula relating the entries of $S$ at fixed points, to entries of $S$ at smaller ranks and levels. Finally, we identify the number fields generated over the rationals by the entries of $S$, and by the fusion (Verlinde) eigenvalues.Comment: 28 pages, plain Te

Where has all the psychology gone? A critical review of evidence-based psychological practice in correctional settings

Evidence-Based Practice (EBP) represents the gold standard for effective clinical psychological practice. In this review, we examine ways in which EBP tenets are being neglected by correctional psychologists worldwide. We examine three key aspects of EBP currently being neglected: (a) individualized and flexible client focus, (b) the therapeutic alliance, and (c) psychological expertise. We also highlight two highly related issues responsible for correctional psychologists' neglect of EBP. The first relates to policy makers' and correctional psychologists' overreliance on the Risk–Need–Responsivity Model to guide correctional practice. We argue that the narrow focus and implementation of this model has resulted in a severe identity problem for correctional psychologists that has severely exacerbated the dual relationship problem. That is, the tension psychologists experience as a result of engaging in psychological practice while also obliging the risk and security policies of correctional systems. The second issue concerns psychologists' response to the dual relationship problem. In short, psychology, as a discipline appears to have acquiesced to the dual-relationship problem. In our view, this constitutes a ‘crisis’ for the discipline of correctional psychology. We offer several recommendations for injecting EBP back into correctional psychology for the individual, psychology as a discipline, and correctional policy makers

Political risk in light rail transit PPP projects

Since 2003 public-private partnerships (PPPs) have represented between 10 and 13.5% of the total investment in public services in the UK. The macro-economic and political benefits of PPPs were among the key drivers for central government's decision to promote this form of procurement to improve UK public services. Political support for a PPP project is critical and is frequently cited as the most important critical success factor. This paper investigates the significance of political support and reviews the treatment of political risk in a business case by the public sector project sponsor for major UK-based light rail transit PPP projects during their development stage. The investigation demonstrates that in the early project stages it is not traditional quantitative Monte Carlo risk analysis that is important; rather it is the identification and representation of political support within a business case together with an understanding of how this information is then used to inform critical project decisions

On the Classification of Diagonal Coset Modular Invariants

We relate in a novel way the modular matrices of GKO diagonal cosets without fixed points to those of WZNW tensor products. Using this we classify all modular invariant partition functions of $su(3)_k\oplus su(3)_1/su(3)_{k+1}$ for all positive integer level $k$, and $su(2)_k\oplus su(2)_\ell/su(2)_{k+\ell}$ for all $k$ and infinitely many $\ell$ (in fact, for each $k$ a positive density of $\ell$). Of all these classifications, only that for $su(2)_k\oplus su(2)_1/su(2)_{k+1}$ had been known. Our lists include many new invariants.Comment: 24 pp (plain tex

Eye movement desensitisation and reprocessing for offence-related trauma in a mentally disordered sexual offender

Research demonstrates a high incidence of offence-related trauma in mentally disordered offenders convicted of violent and sexual offences. The adaptive information processing (AIP) model offers a theoretical framework for understanding the hypothesised relationship between offence-related trauma and reoffending. Evidence suggests that for a sub-population of offenders presenting with offence-related trauma: (1) therapy may retraumatise them, and (2) unresolved trauma severely blocks the positive benefits of talking therapies. Thus, it is postulated that traumatised violent and sexual offenders may be released into the community when they are still at risk of reoffending. A single case study is presented, which describes the application of eye movement desensitisation and reprocessing (EMDR) for a sexual offender presenting with offence-related trauma, whose offences occurred in the context of serious mental disorder. The identification of offence-related trauma and subsequent resolution of trauma symptomatology are discussed in regard to effective offender rehabilitation. Furthermore, the idiosyncratic nature of offence-related trauma and the application of the standard EMDR protocol for a single traumatic event are considered

A descriptive model of the offence chain for imprisoned adult male firesetters (descriptive model of adult male firesetting)

Purpose: Firesetting has devastating consequences. Although some theoretical efforts have been made to explain firesetting (i.e., a small number of multi- and single-factor theories), little effort has been devoted to understand how deliberate firesetting unfolds across time (i.e., micro or offence chain theories). This research aimed to produce the first descriptive offence chain theory for incarcerated adult male firesetters.Methods: Thirty-eight adult male firesetters—recruited from prison establishments in England and Wales—were interviewed about the events, thoughts and feelings leading up to, surrounding, and immediately following a deliberate incident of firesetting. Results: Using Grounded Theory analysis, the Descriptive Model of Adult male Firesetting (DMAF) was developed documenting the cognitive, behavioural, affective and contextual factors leading to a single incident of deliberate firesetting. Conclusions: New information generated from the DMAF is presented and its contributions to the current evidence base are highlighted. Clinical implications, limitations and future research directions are also discussed