Kavli Affiliate: Toshiyuki Kobayashi | Summary:This exposition presents recent developments on proper actions, highlighting their connections to representation theory. It begins with geometric aspects, including criteria for the properness of homogeneous spaces in the setting of reductive groups. We then explore the interplay between the properness of group actions and the discrete decomposability of unitary […]

Kavli Affiliate: T. Higuchi | First 5 Authors: Belle II Collaboration, I. Adachi, K. Adamczyk, L. Aggarwal, H. Ahmed | Summary: We present a determination of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cb}|$ from the decay $Bto Dellnu_ell$ using a $365~mathrm{fb}^{-1}$ $e^+e^-toUpsilon(4S)to Bbar B$ data sample recorded by the Belle II experiment at the SuperKEKB collider. The […]

Kavli Affiliate: Satoshi Shirai | Summary:We investigate cosmic strings arising from a hierarchical gauge symmetry breaking sequence, $mathrmSU(2) times mathrmU(1) rightarrow mathrmU(1) times mathrmU(1) rightarrow mathrmU(1)’ rightarrow textNothing$. This pattern gives rise to two distinct classes of cosmic strings: light, stable strings formed at a later stage, and heavy, metastable strings originating from an earlier […]

Kavli Affiliate: Hitoshi Murayama | Summary:We calculate the $θ$ dependence in a cousin of QCD, where the vacuum structure can be analyzed exactly. The theory is $mathcalN=2$ $SU(2)$ gauge theory with $N_F=0,1,2,3$ flavors of fundamentals, explicitly broken to $mathcalN=1$ via an adjoint superpotential, and coupled to anomaly mediated supersymmetry breaking (AMSB). The hierarchy $m_AMSBll μ_mathcalN=1ll […]