Algebro-geometric aspects of \(S\)-duality.
type: Item
instance of: scholarly article
title: Algebro-geometric aspects of \(S\)-duality.
zbMATH Open document ID: 1084.14503
DOI: 10.1007/BF02355724
author: B. V. Karpov
published in: Mathematical Notes
publication date: 2000-04-25T00:00:00Z
review text: The author describes three series of algebro-geometric models for super Yang-Mills quantum field theories in dimension four. Then the \(S\)-duality conjecture is related to the modularity of generating functions of characteristic numbers of moduli spaces of stable bundles on algebraic surfaces. In this context, the finiteness condition for the number of of solutions of field equation is discussed; in one case, it turns out that the invariants of the moduli space should satisfy the Markov equation \(x^2+y^2+z^2=3xyz\).
reviewed by: Olaf Teschke
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 53C07
zbMATH DE Number: 1238007
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1238007