Holomorphic vector bundles and non-perturbative vacua in M-theory | Zendy

Ron Donagi | Zendy; André Lukas | Zendy; Burt A. Ovrut | Zendy; Daniel Waldram | Zendy

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Holomorphic vector bundles and non-perturbative vacua in M-theory

Author(s) -

Ron Donagi,

André Lukas,

Burt A. Ovrut,

Daniel Waldram

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/06/034

Subject(s) - fibered knot , holomorphic function , vector bundle , f theory , gauge group , formalism (music) , physics , pure mathematics , theoretical physics , non perturbative , cover (algebra) , gauge theory , mathematics , mathematical physics , string theory , engineering , mechanical engineering , musical , art , visual arts

We review the spectral cover formalism for constructing both U(n) and SU(n)holomorphic vector bundles on elliptically fibered Calabi-Yau three-folds whichadmit a section. We discuss the allowed bases of these three-folds and showthat physical constraints eliminate Enriques surfaces from consideration.Relevant properties of the remaining del Pezzo and Hirzebruch surfaces arepresented. Restricting the structure group to SU(n), we derive, in detail, aset of rules for the construction of three-family particle physics theorieswith phenomenologically relevant gauge groups. We show that anomalycancellation generically requires the existence of non-perturbative vacuacontaining five-branes. We illustrate these ideas by constructing four explicitthree-family non-perturbative vacua.Comment: 44 pages, Latex 2e with amsmath, typos correcte

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