N=2 Supersymmetric Sigma Models and D-branes

TL;DR

This paper explores D-branes in N=2 supersymmetric sigma models, analyzing their types, boundary conditions, and geometric properties, and compares results between nonlinear and linear models within string theory contexts.

Contribution

It introduces a detailed analysis of D-branes in N=2 supersymmetric sigma models, including their realization as supersymmetric boundary conditions and the comparison between linear and nonlinear models.

Findings

D-branes include D0, D1, D2 types realized as A- and B-type boundary conditions.

The models incorporate a 2D black hole metric with a dilaton background.

Generalized metrics with U(n) isometry are proposed and their dynamics are studied.

Abstract

We study D-branes of N=2 supersymmetric sigma models. Supersymmetric nonlinear sigma models with 2-dimensional target space have D0,D1,D2-branes, which are realized as A-,B-type supersymmetric boundary conditions on the worldsheet. When we embed the models in the string theory, the Kahler potential is restricted and leads to a 2-dim black hole metric with a dilaton background. The D-branes in this model are susy cycles and consistent with the analysis of conjugacy classes. The generalized metrics with U(n) isometry is proposed and dynamics on them are realized by linear sigma models. We investigate D-branes of the linear sigma models and compare the results with those in the nonlinear sigma models.