Holomorphic vector bundles and non-perturbative vacua in M-theory
Journal of High Energy Physics 3:6 (1999)
Abstract:
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. We discuss the allowed bases of these three-folds and show that physical constraints eliminate Enriques surfaces from consideration. Relevant properties of the remaining del Pezzo and Hirzebruch surfaces are presented. 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 show that anomaly cancellation generically requires the existence of non-perturbative vacua containing five-branes. We illustrate these ideas by constructing four explicit three-family non-perturbative vacua.Non-perturbative vacua and particle physics in M-theory
Journal of High Energy Physics 3:5 (1999)
Abstract:
In this letter, we introduce a general theory for the construction of particle physics theories, with three families and realistic gauge groups, within the context of heterotic M-theory. This is achieved using semi-stable holomorphic gauge bundles over elliptically fibered Calabi-Yau three-folds. Construction of realistic theories is facilitated by the appearance of non-perturbative five-branes in the vacuum. The complete moduli space of these five-branes is computed and their worldvolume gauge theory discussed. In the context of holomorphic gauge bundles, it is shown how grand unified gauge groups can be spontaneously broken to the gauge group of the standard model. These ideas are illustrated in an explicit SU(5) three-family example.Five-branes and supersymmetry breaking in M-theory
JOURNAL OF HIGH ENERGY PHYSICS (1999) ARTN 009
Holomorphic vector bundles and non-perturbative vacua in M-theory
JOURNAL OF HIGH ENERGY PHYSICS (1999) ARTN 034
Non-perturbative vacua and particle physics in M-theory
JOURNAL OF HIGH ENERGY PHYSICS (1999) ARTN 018