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Elevating the Free-Fermion $Z_2 imes Z_2$ Orbifold Model to a Compactification of F-Theory | | Per Berglund
; John Ellis
; Alon E. Faraggi
; D.V. Nanopoulos
; Zongan Qiu
; | | Date: |
17 Dec 1998 | | Journal: | Int.J.Mod.Phys. A15 (2000) 1345-1362 | | Subject: | hep-th | | Abstract: | We study the elliptic fibrations of some Calabi-Yau three-folds, including the $Z_2 imes Z_2$ orbifold with $(h_{1,1},h_{2,1})=(27,3)$, which is equivalent to the common framework of realistic free-fermion models, as well as related orbifold models with $(h_{1,1},h_{2,1})=(51,3)$ and (31,7). However, two related puzzles arise when one considers the $(h_{1,1},h_{2,1})=(27,3)$ model as an F-theory compactification to six dimensions. The condition for the vanishing of the gravitational anomaly is not satisfied, suggesting that the F-theory compactification does not make sense, and the elliptic fibration is well defined everywhere except at four singular points in the base. We speculate on the possible existence of N=1 tensor and hypermultiplets at these points which would cancel the gravitational anomaly in this case. | | Source: | arXiv, hep-th/9812141 | | Services: | Forum | Review | PDF | Favorites | |
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