Discrete anomalies in supergravity and consistency of string backgrounds

Abstract

We examine SL(2, Z) anomalies in ten and eight-dimensional supergravities, the induced local counterterms and their realization in string theory. Composite connections play an important role in the cancellation mechanism. At the same time their global properties lead to novel non-trivial consistency constraints on compactifications.

29 pages; Minor changes and clarifications. Version to apper in JHEP

References in corpus (3)

• K3 surfaces, modular forms, and non-geometric heterotic compactifications
• Minimal unitary representations from supersymmetry
• Duality group actions on fermions

Cited by in corpus (5)

• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
• The anomaly that was not meant IIB
• Anomaly Inflow Methods for SCFT Constructions in Type IIB
• Consistency of eight-dimensional supergravities: Anomalies, Lattices and Counterterms
• Chern-Simons couplings, modular duality, and anomaly cancellation in abelian F-theory