Horizontal and Vertical Five-Branes in Heterotic/F-Theory Duality

Details Horizontal and Vertical Five-Branes in Heterotic/F-Theory Duality Horizontal and Vertical Five-Branes in Heterotic/F-Theory Duality

1999-12-03

arxiv.org/abs/hep-th/9912025v2

JHEP 0001 (2000) 013

Physics

High Energy Physics

High Energy Physics - Theory

21 pages harvmac, reference added

Scientific paper

10.1088/1126-6708/2000/01/013

We consider the heterotic string on an elliptic Calabi-Yau three-fold with five-branes wrapping curves in the base ('horizontal' curves) of the Calabi-Yau as well as some elliptic fibers ('vertical' curves). We show that in this generalized set-up, where the association of the heterotic side with the $F$-theory side is changed relative to the purely vertical situation, the number of five-branes wrapping the elliptic fibers still matches the corresponding number of $F$-theory three-branes.

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