N=1 Supersymmetric Vacua in Heterotic M-Theory

dc.creatorOvrut, Burt A.
dc.date1999-05-16
dc.date.accessioned2026-07-25T22:07:05Z
dc.descriptionIn 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.
dc.description80 pages, LaTex, 3 figures, Lectures presented at the APCTP Third Winter School on "Duality in Fields and Strings", February, 1999, Cheju Island, Korea
dc.identifierhttps://arxiv.org/abs/hep-th/9905115
dc.identifierhttp://arxiv.org/abs/hep-th/9905115
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/85967
dc.subjectHigh Energy Physics - Theory
dc.titleN=1 Supersymmetric Vacua in Heterotic M-Theory
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