Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-10-20
JHEP 9811 (1998) 026
Physics
High Energy Physics
High Energy Physics - Theory
Argument has been streamlined and references have been added. 18 pages, harvmac (b)
Scientific paper
10.1088/1126-6708/1998/11/026
The SL(2,Z) duality transformations of type IIB supergravity are shown to be anomalous in generic F-theory backgrounds due to the anomalous transformation of the phase of the chiral fermion determinant. The anomaly is partially cancelled provided the ten-dimensional type IIB theory lagrangian contains a term that is a ten-form made out of the composite U(1) field strength and four powers of the curvature. A residual anomaly remains uncancelled, and this implies a certain topological restriction on consistent backgrounds of the euclidean theory. A similar, but slightly stronger, restriction is also derived from an explicit F-theory compactification on K3 x M8 (where M8 is an eight-manifold with a nowhere vanishing chiral spinor) where the cancellation of tadpoles for Ramond--Ramond fields is only possible if M8 has an Euler character that is a positive multiple of 24. The interpretation of this restriction in the dual heterotic theory on T2 x M8 is also given.
Gaberdiel Matthias R.
Green Michael B.
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