Dualities and the SL(2,Z) Anomaly

Details Dualities and the SL(2,Z) Anomaly Dualities and the SL(2,Z) Anomaly

1998-10-26

arxiv.org/abs/hep-th/9810213v2

JHEP 9812:006,1998

Physics

High Energy Physics

High Energy Physics - Theory

harvmac, 13 pages (b); minor changes, a footnote and a reference added

Scientific paper

10.1088/1126-6708/1998/12/006

The SL(2,Z) anomaly recently derived for type IIB supergravity in 10 dimensions is shown to be a consequence of T-duality with the type IIA string, after compactification to 2 dimensions on an 8-fold. This explains the identity of the gravitational 8-forms appearing in different contexts in the effective actions of type IIA and IIB string theories. In this framework, constraints on the compactification manifold arise from modular invariance of the 2d theory. Related issues in 6 dimensions are examined, and it is argued that similar anomalies are present on the worldvolumes of M-theory 5-branes and orientifold 5-planes.

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