### Abstract

In the presence of background Neveu-Schwarz flux, the description of the Ramond-Ramond fields of type IIB string theory using twisted K-theory is not compatible with S-duality. We argue that other possible variants of twisted K-theory would still not resolve this issue. We propose instead a connection of S-duality with elliptic cohomology, and a possible T-duality relation of this to a previous proposal for IIA theory, and higher-dimensional limits. In the process, we obtain some other results which may be interesting on their own. In particular, we prove a conjecture of Witten that the 11-dimensional spin cobordism group vanishes on K (ℤ, 6), which eliminates a potential new θ-angle in type IIB string theory.

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

Pages (from-to) | 639-664 |

Number of pages | 26 |

Journal | Nuclear Physics B |

Volume | 715 |

Issue number | 3 |

DOIs | |

State | Published - May 30 2005 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*715*(3), 639-664. https://doi.org/10.1016/j.nuclphysb.2005.02.016

**Type IIB string theory, S-duality, and generalized cohomology.** / Kriz, Igor; Sati, Hisham.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 715, no. 3, pp. 639-664. https://doi.org/10.1016/j.nuclphysb.2005.02.016

}

TY - JOUR

T1 - Type IIB string theory, S-duality, and generalized cohomology

AU - Kriz, Igor

AU - Sati, Hisham

PY - 2005/5/30

Y1 - 2005/5/30

N2 - In the presence of background Neveu-Schwarz flux, the description of the Ramond-Ramond fields of type IIB string theory using twisted K-theory is not compatible with S-duality. We argue that other possible variants of twisted K-theory would still not resolve this issue. We propose instead a connection of S-duality with elliptic cohomology, and a possible T-duality relation of this to a previous proposal for IIA theory, and higher-dimensional limits. In the process, we obtain some other results which may be interesting on their own. In particular, we prove a conjecture of Witten that the 11-dimensional spin cobordism group vanishes on K (ℤ, 6), which eliminates a potential new θ-angle in type IIB string theory.

AB - In the presence of background Neveu-Schwarz flux, the description of the Ramond-Ramond fields of type IIB string theory using twisted K-theory is not compatible with S-duality. We argue that other possible variants of twisted K-theory would still not resolve this issue. We propose instead a connection of S-duality with elliptic cohomology, and a possible T-duality relation of this to a previous proposal for IIA theory, and higher-dimensional limits. In the process, we obtain some other results which may be interesting on their own. In particular, we prove a conjecture of Witten that the 11-dimensional spin cobordism group vanishes on K (ℤ, 6), which eliminates a potential new θ-angle in type IIB string theory.

UR - http://www.scopus.com/inward/record.url?scp=17844400950&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17844400950&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2005.02.016

DO - 10.1016/j.nuclphysb.2005.02.016

M3 - Article

AN - SCOPUS:17844400950

VL - 715

SP - 639

EP - 664

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -