Dynamical Inflation and Vacuum Selection

We consider an inflationary scenario where the energy scale of inflation stems from gauge theory dynamics. We point out its generic implications on vacuum selection of our universe, in particular, on determination of spacetime symmetries including its dimensions.Comment: 5 pages, late

Dynamical Supersymmetry Breaking in Vector-like Gauge Theories

We provide vector-like gauge theories which break supersymmetry dynamically.Comment: 3 pages, phyzzx, to appear in Prog. Theor. Phy

Strongly Coupled Gauge Mediation

A model of gauge mediation with the gravitino mass of order 1eV is considered to motivate 100TeV colliders. Massive mediators with standard-model and supersymmetry-breaking gauge quantum numbers let low-scale dynamics induce sizable soft masses of the standard-model superpartners. We circumvent potential phenomenological difficulties that such low-scale models tend to cause.Comment: 7 page

Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state

This note deals with the five-dimensional pure SU(2) AGT conjecture proposed by Awata and Yamada. We give a conjecture on a recursive formula for the inner product of the deformed Gaiotto state. We also show that the K-theoretic pure SU(2) Nekrasov partition function satisfies the same recursion relation. Therefore the five-dimensional AGT conjecture is reduced to our conjectural recursive formula.Comment: 16 pages. Typos correcte

Cosmological Constants as Messenger between Branes

We present a supersymmetry-breaking scenario in which both the breaking in the hidden sector with no-scale type supergravity and that in the observable sector with gauge mediation are taken into account. The breaking scales in the hidden and observable sectors are related through the vanishing condition of the cosmological constant with a brane-world picture in mind. Suppressing flavor-changing neutral currents, we can naturally obtain the gravitino, Higgs(ino), and soft masses of the electroweak scale.Comment: 7 pages, Late

R-Invariant Topological Inflation

We propose a topological inflation model in the framework of supergravity with $R$ invariance. This topological inflation model is not only free from the initial value problem of the inflaton field but also gives low reheating temperature which is favored in supergravity since the overproduction of gravitinos is avoided. Furthermore, the predicted spectrum of the density fluctuations is generally tilted, which will be tested by future observations on CMB anisotropies and large scale structure of the universe.Comment: 7pages (RevTeX file

Nonabelian Duality and Higgs Multiplets in Supersymmetric Grand Unified Theories

We consider strongly interacting supersymmetric gauge theories which break dynamically the GUT symmetry and produce the light Higgs doublets naturally. Two models we proposed in the previous articles are reanalyzed as two phases of one theory and are shown to have desired features. Furthermore, employing nonabelian duality proposed recently by Seiberg, we study the dual theory of the above one and show that the low-energy physics of the original and dual models are the same as expected. We note that the Higgs multiplets in the original model are regarded as composite states of the elementary hyperquarks in its dual theory. Theories with other hypercolors and similar matter contents are also analyzed in the same way.Comment: 16 pages, LaTeX, no figur

Gravitational Supersymmetry Breaking

We consider supersymmetry breaking models with a purely constant superpotential in supergravity. The supersymmetry breaking is induced for the vanishing cosmological constant. As a hidden mediation sector of supersymmetry breaking, it naturally leads to a split spectrum in supersymmetric standard model. We also point out possible utility of our setup to construct nonlinear sigma model and/or Fayet-Iliopoulos-like term in broken supergravity.Comment: 6 page

Minimal Supergravity, Inflation, and All That

We consider an inflationary model in the hidden-sector broken supergravity with an effectively large cutoff. The inflaton decay into right-handed neutrinos naturally causes the observed baryon asymmetry of the universe with a reheating temperature low enough to avoid the gravitino overproduction. We emphasize that all the phenomenological requirements from cosmology and particle physics are satisfied in the large-cutoff theory.Comment: 15pages, 4figures, text and refs. adde