Scanning the Fluxless $G_2$ Landscape

Details Scanning the Fluxless $G_2$ Landscape Scanning the Fluxless $G_2$ Landscape

2009-06-29

arxiv.org/abs/0906.5359v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, changed values in equations (56) and (57)

Scientific paper

We show that there exists an exponentially large discretuum of vacua in $G_2$-compactifications of M-theory without flux. In M-theory-inspired $G_2$-MSSM, quantities relevant for particle physics remain virtually insensitive to large variations of the vacuum energy across the landscape. The purely non-perturbative vacua form a special subset of a more general class of vacua containing fractional Chern-Simons contributions. The cosmological constant can be dynamically neutralized via a chain of transitions interpolated by fractional gauge instantons describing spontaneous nucleation of M2-brane domain walls. Each transition is generically accompanied by a gauge symmetry breaking in some sector of the theory. In particular, the visible sector GUT symmetry breaking can likewise be triggered by a spontaneous nucleation of an M2-brane.

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