### Abstract

The M-theory field strength and its dual, given by the integral lift of the left-hand side of the equation of motion, both satisfy certain cohomological properties. We study the combined fields and observe that the multiplicative structure on the product of the corresponding degree four and degree eight cohomology fits into that given by Spin K-theory. This explains some earlier results and leads naturally to the use of Spin characteristic classes. We reinterpret the one-loop term in terms of such classes and we show that it is a homotopy invariant. We argue that the various anomalies have natural interpretations within Spin K-theory. In the process, mod 3 reductions play a special role.

Original language | English (US) |
---|---|

Pages (from-to) | 387-401 |

Number of pages | 15 |

Journal | Journal of Geometry and Physics |

Volume | 58 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1 2008 |

### Fingerprint

### Keywords

- Characteristic classes
- K-theory and generalized cohomology
- Spin bundles
- Topological anomalies in M-theory

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology

### Cite this

**An approach to anomalies in M-theory via KSpin.** / Sati, Hisham.

Research output: Contribution to journal › Article

*Journal of Geometry and Physics*, vol. 58, no. 3, pp. 387-401. https://doi.org/10.1016/j.geomphys.2007.11.010

}

TY - JOUR

T1 - An approach to anomalies in M-theory via KSpin

AU - Sati, Hisham

PY - 2008/3/1

Y1 - 2008/3/1

N2 - The M-theory field strength and its dual, given by the integral lift of the left-hand side of the equation of motion, both satisfy certain cohomological properties. We study the combined fields and observe that the multiplicative structure on the product of the corresponding degree four and degree eight cohomology fits into that given by Spin K-theory. This explains some earlier results and leads naturally to the use of Spin characteristic classes. We reinterpret the one-loop term in terms of such classes and we show that it is a homotopy invariant. We argue that the various anomalies have natural interpretations within Spin K-theory. In the process, mod 3 reductions play a special role.

AB - The M-theory field strength and its dual, given by the integral lift of the left-hand side of the equation of motion, both satisfy certain cohomological properties. We study the combined fields and observe that the multiplicative structure on the product of the corresponding degree four and degree eight cohomology fits into that given by Spin K-theory. This explains some earlier results and leads naturally to the use of Spin characteristic classes. We reinterpret the one-loop term in terms of such classes and we show that it is a homotopy invariant. We argue that the various anomalies have natural interpretations within Spin K-theory. In the process, mod 3 reductions play a special role.

KW - Characteristic classes

KW - K-theory and generalized cohomology

KW - Spin bundles

KW - Topological anomalies in M-theory

UR - http://www.scopus.com/inward/record.url?scp=39449135120&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=39449135120&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2007.11.010

DO - 10.1016/j.geomphys.2007.11.010

M3 - Article

VL - 58

SP - 387

EP - 401

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - 3

ER -