SURFACES OBTAINED FROM ℂPN-1 SIGMA MODELS
نویسندگان
چکیده
منابع مشابه
Conformally parametrized surfaces associated with CPN−1 sigma models
Two-dimensional parametrized surfaces immersed in the su(N) algebra are investigated. The focus is on surfaces parametrized by solutions of the equations for the CP N−1 sigma model. The Lie-point symmetries of the CP N−1 model are computed for arbitrary N . The Weierstrass formula for immersion is determined and an explicit formula for a moving frame on a surface is constructed. This allows us ...
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The objective of this paper is to construct and investigate smooth orientable surfaces in RN −1 by analytical methods. The structural equations of surfaces in connection with CPN−1 sigma models on Minkowski spacetime are studied in detail. This is carried out using a moving frame adapted to the surface immersed in su(N) algebra. The first and second fundamental forms of the surface as well as t...
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We study some geometrical aspects of two dimensional orientable surfaces arrising from the study of CPN sigma models. To this aim we employ an identification of RN(N+2) with the Lie algebra su(N + 1) by means of which we construct a generalized Weierstrass formula for immersion of such surfaces. The structural elements of the surface like its moving frame, the Gauss-Weingarten and the Gauss-Cod...
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The correspondance is established between the sigma models , the minimal surfaces and the Monge-Ampére equation. The Lax-Pairs of the minimality condition of the minimal surfaces and the MongeAmpére equations are given. Existance of infinitely many nonlocal conservation laws is shown and some Backlund transformations are also given.
متن کاملFractionally charged Wilson loops as a probe of theta dependence in CPN−1 sigma models
We present a method for exploring θ -dependence in two-dimensional U(1) gauge theories which is based on the calculation of fractionally charged Wilson loops in the θ = 0 theory. Including a Wilson loop with charge q = θ/2π in the path integral of a U(1) gauge theory in two spacetime dimensions is equivalent to including a θ -term in the two-volume enclosed by the loop. We study the θ -dependen...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2008
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x08042699