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Exact Results for Supersymmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>Models

Exact Results for Supersymmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>Models

We show that the metric and Berry's curvature for the ground states of $N=2$ supersymmetric $\ensuremath{\sigma}$ models can be computed exactly as one varies the Kahler structure. For the case of ${\mathrm{CP}}^{n}$ these are related to special solutions of affine Toda equations. This allows us to extract exact results. We …