1999/05/16 by Burt A. Ovrut, Ovrut, Burt A.
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9905115
80 pages, LaTex, 3 figures, Lectures presented at the APCTP Third Winter School on "Duality in Fields and Strings", February, 1999, Cheju Island, Korea
arxiv created 1999/05/16 · openalex publication_date 1999/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the first lecture, we derive the five-dimensional effective action of strongly coupled heterotic string theory for the complete (1,1) sector of the theory by performing a reduction, on a Calabi-Yau three-fold, of M-theory on S1/Z2. The supersymmetric ground state of the theory is a multi-charged BPS three-brane domain wall, which we construct in general. In this first lecture, we assume the ``standard'' embedding of the spin connection into the E8 gauge connection on one orbifiold fixed plane. In the second lecture, we generalize these results to ``non-standard'' embeddings. That is, we allow for general E8 X E8 gauge bundles and for the presence of five-branes. Properties of these ``non-perturbative''vacua, as well as of the resulting low-energy theories, are discussed. In the last lecture, we review the spectral cover formalism for constructing both U(n) and SU(n) holomorphic vector bundles on elliptically fibered Calabi-Yau three-folds which admit a section. Restricting the structure group to SU(n), we derive, in detail, a set of rules for the construction of three-family particle physics theories with phenomenologically relevant gauge groups. We illustrate these ideas by constructing several explicit three-family non-perturbative vacua.