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An SL(2,Z) anomaly in IIB supergravity and its F-theory interpretation | | Matthias R. Gaberdiel
; Michael B. Green
; | | Date: |
20 Oct 1998 | | Journal: | JHEP 9811 (1998) 026 | | Subject: | hep-th | | Abstract: | 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. | | Source: | arXiv, hep-th/9810153 | | Services: | Forum | Review | PDF | Favorites | |
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