Integrable functional equations and algebraic geometry
نویسندگان
چکیده
منابع مشابه
Algebraic geometry and stability for integrable systems
In 1970s, a methodwas developed for integration of nonlinear equations bymeans of algebraic geometry. Starting froma Lax representationwith spectral parameter, the algebro-geometricmethod allows to solve the system explicitly in terms of theta functions of Riemann surfaces. However, the explicit formulas obtained in this way fail to answer qualitative questions such as whether a given singular ...
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We derive the fusion hierarchy of functional equations for critical A-D-E lattice models related to the sl(2) unitary minimal models, the parafermionic models and the supersymmetric models of conformal field theory and deduce the related TBA functional equations. The derivation uses fusion projectors and applies in the presence of all known integrable boundary conditions on the torus and cylind...
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We compute the scalar curvature of 7-dimensional G2-manifolds admitting a connection with totally skew-symmetric torsion. We prove the formula for the general solution of the Killing spinor equation and express the Riemannian scalar curvature of the solution in terms of the dilation function and the NS 3-form field. In dimension n = 7 the dilation function involved in the second fermionic strin...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 1994
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-94-07623-0