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High Energy Theory
PARTICLE PHENOMENOLOGY
Gauge field theory and it fundamental aspects. Application of the standard model to explanation of experimental data coming from the high energy laboratories FERMILAB, SLAC and CERN. Entension of the standard model using grand unification, low-energy supersymmetry and conformality. Study of CP uiolation models, neutrino masses, horizontal flavor symmetries. Novel entensions of the standard model motivated by three-family family structure, strong CP problem, duality of gauge field theory and string theory. Use of the AdS/CFT correspondence to give brane-inspired unification of strong and electroweak interactions.
COSMOLOGY
Theoretical Big Bang cosmology. Anisotropy of cosmic background radiation; position of first Doppler peak and relationship to geodesics since recombination time. Predictions to be tested by the WMAP and Planck satellites. Observations of high-red-shift supernovae and their interpretation in terms of the cosmological constant and quintessence. Origin of highest energy cosmic rays and their interpretation in terms of superheavy particle decays. Predictions for the observations to be made by the Pierre Ruger observatory.
STRING THEORY
Study of superstring theory. Duality within string theories. Relationship of five superstring theories and supergravity to M theory; logical basis and formulation of M theory. Mathematical methods applied to string theory including algebraic geometry, differential geometry and number theory. Noncommutative gauge theories. Analysis and classification of D branes. Duality between string theory and gauge field theories. Breaking of supersymmetry; vacuum energy and cosmological constant. Large N limit of SU(N) for branes and their duals which are gauge field theories. Inflation, the trans-Planckian problem, and dark energy and its equation of state.
Studies of Superstring Theory:
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