Dualities and the SL(2,Z) anomaly | Zendy

Sunil Mukhi | Zendy

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Dualities and the SL(2,Z) anomaly

Author(s) -

Sunil Mukhi

Publication year - 1998

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1998/12/006

Subject(s) - orientifold , compactification (mathematics) , supergravity , physics , theoretical physics , string theory , type i string theory , gravitation , mathematical physics , m theory , pure mathematics , mathematics , supersymmetry , quantum gravity , quantum mechanics , quantum , relationship between string theory and quantum field theory

The SL(2,Z) anomaly recently derived for type IIB supergravity in 10dimensions 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 identityof the gravitational 8-forms appearing in different contexts in the effectiveactions of type IIA and IIB string theories. In this framework, constraints onthe compactification manifold arise from modular invariance of the 2d theory.Related issues in 6 dimensions are examined, and it is argued that similaranomalies are present on the worldvolumes of M-theory 5-branes and orientifold5-planes.Comment: harvmac, 13 pages (b); minor changes, a footnote and a reference adde

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