Publication Date



Open access

Degree Type


Degree Name

Doctor of Philosophy (PHD)


Physics (Arts and Sciences)

Date of Defense


First Committee Member

Orlando Alvarez

Second Committee Member

James Nearing

Third Committee Member

Rafael Nepomechie

Fourth Committee Member

Gregory Galloway


We study the target space duality of classical two dimensional sigma models. The models with dilaton and tachyon field are analyzed. As a motivating example the historical electric-magnetic duality is presented. We review the construction of the duality transformation and the integrability conditions for the nonlinear sigma models with target spaces described by general metrics and antisymmetric two-forms. We generalize the formalism for the models whose actions contain the dilaton and tachyon field. For the dilaton field case it is required that the duality is a property solely of the target manifolds, independent of the world-sheet geometry. For both cases the duality transformation is established and the integrability conditions are calculated. The set of restrictions on geometrical data describing the models is obtained, the previously calculated condition on connections on target spaces is maintained in both cases.


String Theory; Duality