Realization of Minimal Supergravity

Minimal supergravity mediation of supersymmetry breaking has attracted much attention due to its simplicity, which leads to its predictive power. We consider how Nature possibly realizes minimal supergravity through inflationary selection of the theory. Minimality is impressively consistent with the present observational bounds and it might be tested with the aid of low-energy soft parameters obtained in future experiments.Comment: 18 pages, 5 figure

Gap Symmetry and Thermal Conductivity in Nodal Superconductors

Here we consider the universal heat conduction and the angular dependent thermal conductivity in the vortex state for a few nodal superconductors. We present the thermal conductivity as a function of impurity concentration and the angular dependent thermal conductivity in a few nodal superconductors. This provides further insight in the gap symmetry of superconductivity in Sr$_2$RuO$_4$ and UPd$_2$Al$_3$.Comment: 2 pages, proceedings of SCES '0

Supersymmetry-Breaking Models of Inflation

We consider dynamical models of supersymmetry breaking which naturally incorporate cosmological inflation. The inflaton plays an inevitable role in dynamical SUSY breaking and the hierarchical scales of inflation and SUSY breaking are simultaneously realized through a single dynamics.Comment: 4 pages, late

Strongly Coupled Messenger Gauge Theory

We consider gauge-mediated models of supersymmetry (SUSY) breaking with strongly coupled nonabelian messenger gauge theory. After integrating out the SUSY-breaking and messenger sectors, we directly see that the effective Kahler potential transmits the SUSY breaking to the standard model sector.Comment: 7 pages, late

Another Perturbative Expansion in Nonabelian Gauge Theory

We consider a new perturbation scheme in nonabelian gauge theory. Pure Yang-Mills theory in three dimensions is taken as a concrete example. The zeroth-order in the perturbative expansion is given by BF theory coupled to a St{\" u}ckelberg-like field. The effective coupling for the expansion can be small in the infrared regime, which implies that nonperturbative treatment of Yang-Mills theory may be partially reduced to that of BF theory.Comment: PHYZZX, 8 pages, KUNS 109

On Nonlinear Gauge Theory from a Deformation Theory Perspective

Nonlinear gauge theory is a gauge theory based on a nonlinear Lie algebra (finite W algebra) or a Poisson algebra, which yields a canonical star product for deformation quantization as a correlator on a disk. We pursue nontrivial deformation of topological gauge theory with conjugate scalars in two dimensions. This leads to two-dimensional nonlinear gauge theory exclusively, which implies its essential uniqueness. We also consider a possible extension to higher dimensions.Comment: 6 pages, late