Euclidean Pseudoduality and Boundary Conditions in Sigma Models

TL;DR

This paper explores pseudoduality transformations in two-dimensional conformal sigma models, focusing on boundary conditions and D-branes, and demonstrates how structures on target spaces can be mapped into pseudodual manifolds.

Contribution

It extends pseudoduality analysis to models with boundaries, establishing conditions for boundary pseudoduality and the transformation of target space structures.

Findings

Structures on target space can be transformed into pseudodual manifolds.

Boundary pseudoduality imposes locality conditions.

Torsions and curvatures must be the same for the transformation to hold.

Abstract

We discuss pseudoduality transformations in two dimensional conformally invariant classical sigma models, and extend our analysis to a given boundaries of world-sheet, which gives rise to an appropriate framework for the discussion of the pseudoduality between D-branes. We perform analysis using the Euclidean spacetime and show that structures on the target space can be transformed into pseudodual manifold identically. This map requires that torsions and curvatures related to individual spaces are the same when connections are riemannian. Boundary pseudoduality imposes locality condition.