Dualities and the \(\text{SL}(2,\mathbb{Z})\) anomaly
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Publication:1588147
DOI10.1088/1126-6708/1998/12/006zbMATH Open0949.81040arXivhep-th/9810213OpenAlexW2042908980MaRDI QIDQ1588147
Publication date: 3 December 2000
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/hep-th/9810213
String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Anomalies in quantum field theory (81T50)
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