### Abstract

Recently, Diaconescu, Moore and Witten provided a nontrivial link between K-theory and M-theory, by deriving the partition function of the Ramond-Ramond fields of type IIA string theory from an E_{8} gauge theory in eleven dimensions. We give some relations between twisted K-theory and M-theory by adapting the method of [1, 2]. In particular, we construct the twisted K-theory torus which defines the partition function, and also discuss the problem from the loop group picture, in which the Dixmier-Douady class is the Neveu-Schwarz field. In the process of doing this, we encounter some mathematics that is new to the physics literature. In particular, the eta differential form, which is the generalization of the eta invariant, arises naturally in this context. We conclude with several open problems in mathematics and string theory.

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

Pages (from-to) | 369-390 |

Number of pages | 22 |

Journal | Journal of High Energy Physics |

Volume | 8 |

Issue number | 3 |

State | Published - Mar 1 2004 |

### Fingerprint

### Keywords

- Anomalies in Field and String Theories
- M-Theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

_{8}gauge theory.

*Journal of High Energy Physics*,

*8*(3), 369-390.

**Some relations between twisted K-theory and e _{8} gauge theory.** / Mathai, Varghese; Sati, Hisham.

Research output: Contribution to journal › Article

_{8}gauge theory',

*Journal of High Energy Physics*, vol. 8, no. 3, pp. 369-390.

_{8}gauge theory. Journal of High Energy Physics. 2004 Mar 1;8(3):369-390.

}

TY - JOUR

T1 - Some relations between twisted K-theory and e8 gauge theory

AU - Mathai, Varghese

AU - Sati, Hisham

PY - 2004/3/1

Y1 - 2004/3/1

N2 - Recently, Diaconescu, Moore and Witten provided a nontrivial link between K-theory and M-theory, by deriving the partition function of the Ramond-Ramond fields of type IIA string theory from an E8 gauge theory in eleven dimensions. We give some relations between twisted K-theory and M-theory by adapting the method of [1, 2]. In particular, we construct the twisted K-theory torus which defines the partition function, and also discuss the problem from the loop group picture, in which the Dixmier-Douady class is the Neveu-Schwarz field. In the process of doing this, we encounter some mathematics that is new to the physics literature. In particular, the eta differential form, which is the generalization of the eta invariant, arises naturally in this context. We conclude with several open problems in mathematics and string theory.

AB - Recently, Diaconescu, Moore and Witten provided a nontrivial link between K-theory and M-theory, by deriving the partition function of the Ramond-Ramond fields of type IIA string theory from an E8 gauge theory in eleven dimensions. We give some relations between twisted K-theory and M-theory by adapting the method of [1, 2]. In particular, we construct the twisted K-theory torus which defines the partition function, and also discuss the problem from the loop group picture, in which the Dixmier-Douady class is the Neveu-Schwarz field. In the process of doing this, we encounter some mathematics that is new to the physics literature. In particular, the eta differential form, which is the generalization of the eta invariant, arises naturally in this context. We conclude with several open problems in mathematics and string theory.

KW - Anomalies in Field and String Theories

KW - M-Theory

UR - http://www.scopus.com/inward/record.url?scp=23044484465&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044484465&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:23044484465

VL - 8

SP - 369

EP - 390

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 3

ER -