Irregular conformal block, spectral curve and flow equations

Irregular conformal block is motivated by the Argyres-Douglas type of N=2 super conformal gauge theory. We investigate the classical/NS limit of the irregular conformal block using spectral curve on a Riemann surface with irregular punctures, which is equivalent to the loop equation of irregular matrix model. The spectral curve is reduced to the second order (Virasoro symmetry, $SU(2)$ for the gauge theory) and third order ($W_3$ symmetry, $SU(3)$) differential equations of a polynomial with finite degree. The Virasoro and W symmetry generate flow equations in the spectral curve and determine the irregular conformal block, hence the partition function of the Argyres-Douglas theory ala AGT conjecture.Comment: 35 pages; v2: 38 pages, section 4 and references added, minor change

THE APPLICABILITY OF THE PARTNERS FOR CHANGE OUTCOME MANAGEMENT SYSTEM FOR PSYCHOTHERAPY IN SOUTH KOREA: EXPLORING KOREAN THERAPISTS’ EXPERIENCES

The introduction of psychotherapy approaches to another culture may require adjustments, such as cultural adaptation (Benish, Quintana, & Wampold, 2011; Griner & Smith, 2006). Unique features of a specific cultural group, such as a native language and traditional cultural values may interfere with new approaches. Although a client feedback system, the Partners for Change Outcome Management System (PCOMS; Miller, Duncan, Sorrell, & Brown 2005) has been established as an evidence-based treatment approach with clients in the United States, little has been examined on its utility in Korean psychotherapy. Therefore, the aim of this study was to investigate the applicability and utility of PCOMS for psychotherapy in South Korea. Specifically, Korean psychotherapists’ experiences of deciding whether or not employing PCOMS and its implementation were analyzed with thematic analysis. The analysis generated four themes: implementation; the benefit of PCOMS; barriers to utilization; and background factors. Discussion of the study’s findings and the implication for the practice, training, and research are provided

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Department of Energy Engineering (Battery Science and Technology)Metallic lithium (Li) have attracted considerable attention owing to its high theoretical capacity (3860 mAh g-1) as a promising anode candidate for next-generation battery. However, uneven plating/stripping behaviors of Li metal leads to severe safety issues and poor cycling performance due to formation of dendritic Li, seriously impeding the practical Li metal-based batteries. Here, we demonstrate a newly designed Li metal host (Li host) based on hetero-fibrous scaffold composed of one-dimensional (1D) electronic conductor (copper nanowire, CuNW) and electronic insulator (cellulose nanofiber, CNF) with electronic conductivity gradient structure. The electronic conductivity gradient architecture in the new scaffold offers stable Li plating/stripping behaviors which form preferential and uniformly dense Li deposition on the bottom layer with high electronic conductivity and suppression of Li dendritic growth on top surface of non-conductive top layer. Additionally, the middle layer which has well-tailored electronic conductivity enable effectively suppression dead Li formed from bottom layer and support to enhance actualization of long-term cyclability. These featured structural characteristics of Li host with electronic conductivity gradient achieve high Li utilization (>96% coulombic efficiency) and superior cycling stability at the current density of 1 mA cm-2 over 250 cycles. The resultant of NCM811Li@host full-cell shows excellent cycling performance and structural stability of anode, thus demonstrating proper as Li host for high-energy density Li metal batteries.ope