Ron DONAGI
(University of Pennsylvania)

"The Particle Spectrum of Heterotic Compactifications"

We will start with the general setup for deriving both Grand Unified and Standard Model particle spectra from the geometry of a heterotic string (or M-theory) compactification. Determination of the particle content of a specific heterotic compactification boils down to calculation of the cohomology of various stable vector bundles over Calabi-Yau threefolds. We will outline some of the mathematical techniques involved in these calculations when the CY has either an elliptic fibration (leading to Grand Unified theories) or a genus one fibration (leading to Standard-Model-like theories). We will also discuss some of the physics applications of our results.

References:

  1. R. Donagi, Y-H. He, B. Ovrut, R. Reinbacher, The Particle Spectrum of Heterotic Compactifications, arXiv:hep-th/0405014.
  2. R. Donagi, Y-H. He, B. Ovrut, R. Reinbacher, Moduli Dependent Spectra of Heterotic Compactifications, arXiv:hep-th/0403291.
  3. R. Donagi, B. Ovrut, T. Pantev, R. Reinbacher, SU(4) Instantons on Calabi-Yau Threefolds with Z_2 x Z_2 Fundamental Group, arXiv:hep-th/0307273.
  4. R. Donagi, T. Pantev, Torus fibrations, gerbes, and duality, arXiv:math.AG/0306213.
  5. R. Donagi, B. Ovrut, T. Pantev, D. Waldram, Spectral involutions on rational elliptic surfaces, arXiv:math.AG/0008011.
  6. R. Donagi, B. Ovrut, T. Pantev, D. Waldram, Standard-model bundles, arXiv:math.AG/0008010.
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