On analytic descriptions of two-dimensional surfaces associated with the sigma model

A. M. Grundland; I. Yurduen

doi:10.1088/1751-8113/42/17/172001

On analytic descriptions of two-dimensional surfaces associated with the sigma model

A. M. Grundland
, I. Yurduen

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

We study analytic descriptions of conformal immersions of the Riemann sphere S² into the sigma model. In particular, an explicit expression for two-dimensional (2D) surfaces, obtained from the generalized Weierstrass formula, is given. It is also demonstrated that these surfaces coincide with those obtained from the Sym-Tafel formula. These two approaches correspond to parametrizations of one and the same surface in .

Original language	English
Article number	172001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	17
DOIs	https://doi.org/10.1088/1751-8113/42/17/172001
Publication status	Published - 2009
Externally published	Yes

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10.1088/1751-8113/42/17/172001

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abstract = "We study analytic descriptions of conformal immersions of the Riemann sphere S2 into the sigma model. In particular, an explicit expression for two-dimensional (2D) surfaces, obtained from the generalized Weierstrass formula, is given. It is also demonstrated that these surfaces coincide with those obtained from the Sym-Tafel formula. These two approaches correspond to parametrizations of one and the same surface in .",

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On analytic descriptions of two-dimensional surfaces associated with the sigma model

Abstract

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