Triadophilia: A Special Corner in the Landscape

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dc.creatorCandelas, Philip
dc.creatorde la Ossa, Xenia
dc.creatorHe, Yang-Hui
dc.creatorSzendroi, Balazs
dc.date2007-06-21
dc.date2007-07-15
dc.date.accessioned2026-07-07T11:57:00Z
dc.date.available2026-07-07T11:57:00Z
dc.descriptionIt is well known that there are a great many apparently consistent vacua of string theory. We draw attention to the fact that there appear to be very few Calabi--Yau manifolds with the Hodge numbers h^{11} and h^{21} both small. Of these, the case (h^{11}, h^{21})=(3,3) corresponds to a manifold on which a three generation heterotic model has recently been constructed. We point out also that there is a very close relation between this manifold and several familiar manifolds including the `three-generation' manifolds with χ=-6 that were found by Tian and Yau, and by Schimmrigk, during early investigations. It is an intriguing possibility that we may live in a naturally defined corner of the landscape. The location of these three generation models with respect to a corner of the landscape is so striking that we are led to consider the possibility of transitions between heterotic vacua. The possibility of these transitions, that we here refer to as transgressions, is an old idea that goes back to Witten. Here we apply this idea to connect three generation vacua on different Calabi-Yau manifolds.
dc.description41 pages 4 pdf figures, one is large. Improved discussion of the Gross-Popescu manifolds, Figure 4 added, additions to Table 1 and other minor corrections
dc.identifierhttps://arxiv.org/abs/0706.3134
dc.identifierhttp://arxiv.org/abs/0706.3134
dc.identifierAdv.Theor.Math.Phys.12:2,2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205735
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAlgebraic Geometry
dc.titleTriadophilia: A Special Corner in the Landscape
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