Three-branes and five-branes in N=1 dual string pairs

Björn Andreas, Gottfried Curio
1998 Physics Letters B  
In this note we show that in dual N=1 string vacua provided by the heterotic string on an elliptic Calabi-Yau together with a vector bundle respectively F-theory on Calabi-Yau fourfold the number of heterotic fivebranes necessary for anomaly cancellation matches the number of F-theory threebranes necessary for tadpole cancellation. This extends to the general case the work of Friedman, Morgan and Witten, who treated the case of embedding a heterotic $E_8\times E_8$ bundle, leaving no unbroken
more » ... aving no unbroken gauge group, where one has a smooth Weierstrass model on the F-theory side.
doi:10.1016/s0370-2693(97)01342-7 fatcat:plz5skhijbb6jlzmswewyo5mom