Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/63279
Type: | Journal article |
Title: | E-8 gauge theory and gerbes in string theory |
Other Titles: | E8 gauge theory and gerbes in string theory |
Author: | Sati, Hicham Hisham |
Citation: | Advances in Theoretical and Mathematical Physics, 2010; 14(2):399-437 |
Publisher: | International Press |
Issue Date: | 2010 |
ISSN: | 1095-0761 |
School/Discipline: | School of Mathematical Sciences |
Statement of Responsibility: | Hisham Sati |
Abstract: | The reduction of the E8 gauge theory to ten dimensions leads to a loop group, which in relation to twisted K-theory has a Dixmier-Douady class identified with the Neveu-Schwarz H-field. We give an interpretation of the degree two part of the eta-form by comparing the adiabatic limit of the eta invariant with the one loop term in type IIA. More generally, starting with a G-bundle, the comparison for manifolds with String structure identifies G with E8 and the representation as the adjoint, due to an interesting appearance of the dual Coxeter number. This makes possible a description in terms of a generalized WZW model at the critical level. We also discuss the relation to the index gerbe, the possibility of obtaining such bundles from loop space, and the symmetry breaking to finite-dimensional bundles. We discuss the implications of this and we give several proposals. |
Rights: | Copyright status unknown |
Appears in Collections: | Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.