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math-ph2017
The Painlevé property of sigma models
P P Goldstein, A M Grundland
We test the sigma models for the Painlevé property. While the construction of finite action solutions ensures their meromorphicity, the general case requires te…
math-ph2017★ 3 cited
On a stack of surfaces obtained from the sigma models
P P Goldstein, A M Grundland
Under the assumption that the sigma model is defined on the Riemann sphere and its action functional is finite, we derive surfaces induced by surfaces and we de…