Cost of seven-brane gauge symmetry in a quadrillion F-theory compactifications
Cost of seven-brane gauge symmetry in a quadrillion F-theory compactifications
We study seven-branes in $O(1{0}^{15})$ four-dimensional F-theory compactifications where seven-brane moduli must be tuned in order to achieve non-Abelian gauge symmetry. The associated compact spaces $B$ are the set of all smooth weak Fano toric threefolds. By a study of fine-star-regular triangulations of three-dimensional reflexive polytopes, the number of such …