Electroweak Symmetry Breaking from SUSY Breaking with Bosonic See-Saw Mechanism

We introduce the idea of bosonic see-saw mechanism in analogy with the see-saw mechanism. Bosonic see-saw is a new symmetry breaking mechanism and we apply it to explain electroweak symmetry breaking as an inevitable consequence of supersymmetry breaking. The breaking of electroweak symmetry occurs at tree level once supersymmetry is broken. Absence of color/charge breaking in this model is related to doublet-triplet splitting in grand unified theory. An extension of MSSM with a weak triplet shows very interesting results especially when mu =0. It provides the most natural understanding of why we have only electroweak symmetry breaking rather than having color/charge breaking. In the limit mu=0, the model predicts very light chargino mass, 104 GeV while Higgs is heavy, 130 GeV.Comment: 4 page

New SUSY Thought

New SUSY thought is presented. Maximal stop mixing needed for 125 GeV Higgs is linked to the tachyonic stop at the UV boundary. Large $\mu$ does not mean the severe fine tuning if Higgs comes out as a pseudo-Goldstone boson. The small mass of the pseudo-Goldstone Higgs is overcome with extra vector-like fermions needed to explain the Higgs to di-photon rates.Comment: 6 pages, 4 figures, Plenary Talk given at BSM of Particle Physics 2012, Qui Nhon, Vietnam, 15-21 July 201

A simple proof of Zeeman's theorem

It is discussed that Zeeman's theorem can be directly obtained from Liouville's theorem if we assume sufficient differentiability

Inverse transitions in a spin-glass model on a scale-free network

In this paper, we will investigate critical phenomena by considering a model spin-glass on scale-free networks. For this purpose, we consider the Ghatak-Sherrington (GS) model, a spin-1 spin-glass model with a crystal field, instead of the usual Ising-type model. Scale-free networks on which the GS model is placed are constructed from the static model, in which the number of vertices is fixed from the beginning. On the basis of the replica-symmetric solution, we obtain the analytical solutions, i.e., free energy and order parameters, and we derive the various phase diagrams consisting of the paramagnetic, ferromagnetic, and spin glass phases as functions of temperature $T$, the degree exponent $\lambda$, the mean degree $K$, and the fraction of the ferromagnetic interactions $\rho$. Since the present model is based on the GS model, which considers the three states ($S=0, \pm 1$), the $S=0$ state plays a crucial role in the $\lambda$-dependent critical behavior: glass transition temperature $T_{g}$ has a finite value, even when $2 < \lambda < 3$. In addition, when the crystal field becomes nonzero, the present model clearly exhibits three types of inverse transitions, which occur when an ordered phase is more entropic than a disordered one.Comment: 11 pages, 7 figure

Spin-glass splitting in the quantum Ghatak-Sherrington model

We propose an expanded spin-glass model, called the quantum Ghatak-Sherrington model, which considers spin-1 quantum spin operators in a crystal field and in a transverse field. The analytic solutions and phase diagrams of this model are obtained by using the one-step replica symmetry-breaking ansatz under the static approximation. Our results represent the splitting within one spin-glass (SG) phase depending on the values of crystal and transverse fields. The two separated SG phases, characterized by a density of filled states, show certain differences in their shapes and phase boundaries. Such SG splitting becomes more distinctive when the degeneracy of the empty states of spins is larger than one of their filled states.Comment: 7 pages, 5 figure

Brane World in Generalized Gravity

We consider Randall-Sundrum(RS) model in generalized gravities and see that the localization of gravity happens in generic situations though its effectiveness depends on the details of the configuration. It is shown that RS picture is robust against quantum gravity corrections ($\phi \R$) as long as the correction is reasonably small. We extend our consideration to the model of scalar(dilaton) coupled gravity which leads us to the specific comparison between RS model and inflation models. The exponential and power law hierarchy in RS model are shown to correspond to the exponential and power law inflation respectively.Comment: 10 pages, contribution to proceedings of COSMO2000, Cheju, Kore

BSM Landscape

BSM landscape of motivated and unmotivated theories is overviewed with an emphasis on new developments guided by naturalness principle.Comment: 9 pages, 2 figures, Proceedings of The Fifth Annual Conference on Large Hadron Collider Physics, Shanghai Jiao Tong University, Shanghai, China, May 15-20, 201

A characterization of causal automorphisms on two-dimensional Minkowski spacetime

It is shown that causal automorphisms on two-dimensional Minkowski spacetime can be characterized by the invariance of the wave equations

A note on conformal equivalences

A new characterization of conformal transformations is given. By use of this, the general form of conformal transformation on two-dimensional Minkowski space is given and its conformal structure is analyzed

An imbedding of spacetimes

It is shown that any two-dimensional spacetimes with compact Cauchy surfaces can be causally isomorphically imbedded into the two-dimensional Einstein's static universe. Also, it is shown that any two-dimensional globally hyperbolic spacetimes are conformally equivalent to a subset of the two-dimensional Einstein's static universe