We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham e-Theses
You are in:

Exceptional Mirror Symmetry and the String Worldsheet

DADHLEY, RICHIE,SINGH (2024) Exceptional Mirror Symmetry and the String Worldsheet. Doctoral thesis, Durham University.

PDF (PhD Thesis Richie Dadhley) - Accepted Version


This thesis provides arguments to strengthen our understanding of mirror symmetry for manifolds with G2 holonomy, by providing worldsheet arguments to demonstrate the physical equivalence of topologically distinct geometries. In particular we investigate the worldsheet superconformal field theories corresponding to manifolds with G2 holonomy obtained by the quotient of the product of a Calabi-Yau threefold and a circle. The quotient acts on the Calabi-Yau as an antiholomorphic involution and on the circle by inversion. For such models, we argue that the Calabi-Yau mirror map implies a mirror map for the associated G2 varieties by examining how antiholomorphic involutions behave under Calabi-Yau mirror symmetry. The mirror geometries identified by the worldsheet CFT are consistent with earlier proposals for twisted connected sum G2 manifolds.

In order to be as self contained and pedagogical as possible, this thesis also provides a reasonably detailed review of Calabi-Yau manifolds and their associated CFTs. We also review details on the geometrical constructions of manifolds with G2 holonomy, in order to explain the geometrical equivalence of our CFT results.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Keywords:String theory, Mirror Symmetry, G2 Manifold, Calabi-Yau, conformal field theory
Faculty and Department:Faculty of Science > Mathematical Sciences, Department of
Thesis Date:2024
Copyright:Copyright of this thesis is held by the author
Deposited On:03 Apr 2024 16:19

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitter