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arXiv · 2005.01812

Deformed $σ$-models, Ricci flow and Toda field theories

Dmitri Bykov·Dieter Lust
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Abstract

It is shown that the Pohlmeyer map of a $σ$-model with a toric two-dimensional target space naturally leads to the `sausage' metric. We then elaborate the trigonometric deformation of the $\mathrm{CP}^{n-1}$-model, proving that its $T$-dual metric is Kähler and solves the Ricci flow equation. Finally, we discuss a relation between flag manifold $σ$-models and Toda field theories.

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Dmitri Bykov, Dieter Lust. 2020-05-04. Deformed $σ$-models, Ricci flow and Toda field theories. https://doi.org/10.1007/s11005-021-01484-0

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