## Abstract

The partition function of Ramond-Ramond p-form fields in Type IIA supergravity on a tenmanifold X contains subtle phase factors that are associated with T-duality, self-duality, and the relation of the RR fields to K-theory. The analogous partition function of M-theory on X × S^{1} contains subtle phases that are similarly associated with E_{8} gauge theory. We analyze the detailed phase factors on the two sides and show that they agree, thereby testing M-theory/Type IIA duality as well as the K-theory formalism in an interesting way. We also show that certain D-brane states wrapped on nontrivial homology cycles are actually unstable, that (-1)^{FL} symmetry in Type IIA superstring theory depends in general on a cancellation between a fermion anomaly and an anomaly of RR fields, and that Type IIA superstring theory with no wrapped branes is well-defined only on a spacetime with W_{7} = 0.

Original language | English (US) |
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Pages (from-to) | 1031-1134 |

Number of pages | 104 |

Journal | Advances in Theoretical and Mathematical Physics |

Volume | 6 |

Issue number | 6 |

DOIs | |

State | Published - Nov 2002 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- General Mathematics
- General Physics and Astronomy

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