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It is well understood --- through string dualities --- that there are 20massless vector fields in the spectrum of eight-dimensional F-theorycompactifications on smooth elliptically fibered K3 surfaces at a generic pointin the K3 moduli space. Such F-theory vacua, which do not have any enhancedgauge symmetries, can be thought of as supersymmetric type IIBcompactifications on P1 with 24 (p,q) seven-branes. Naively, one might expectthere to be 24 massless vector fields in the eight-dimensional effective theorycoming from world-volume gauge fields of the 24 branes. In this paper, we showhow the vector field spectrum of the eight-dimensional effective theory can beobtained from the point of view of type IIB supergravity coupled to theworld-volume theory of the seven-branes. In particular, we first show that thetwo-forms of the type IIB theory absorb the seven-brane world-volume gaugefields via the Cremmer-Scherk mechanism. We then proceed to show that themassless vector fields of the eight-dimensional theory come from KK-reducingthe SL(2,Z) doublet two-forms of type IIB theory along SL(2,Z) doubletone-forms on the P1. We also discuss the relation between these vector fieldsand the "eaten" world-volume vector fields of the seven-branes.

The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds