Pure gauge SU(2) Seiberg-Witten theory and modular forms

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Authors

  • Kirsten Vogeler
  • Michael Flohr

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Original languageEnglish
Article number083505
JournalJournal of mathematical physics
Volume48
Issue number8
Early online date7 Aug 2007
Publication statusPublished - 2007

Abstract

We identify the spectral curve of pure gauge SU(2) Seiberg-Witten theory with the Weierstrass curve CLz (1, (z), (z)′) and thereby obtain explicitely a modular form from which the moduli space parameter u and lattice parameters a and aD can be derived in terms of modular, respectively, theta functions. We further discuss its relationship with the c=-2 triplet model conformal field theory.

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Pure gauge SU(2) Seiberg-Witten theory and modular forms. / Vogeler, Kirsten; Flohr, Michael.
In: Journal of mathematical physics, Vol. 48, No. 8, 083505, 2007.

Research output: Contribution to journalArticleResearchpeer review

Vogeler K, Flohr M. Pure gauge SU(2) Seiberg-Witten theory and modular forms. Journal of mathematical physics. 2007;48(8):083505. Epub 2007 Aug 7. doi: 10.48550/arXiv.hep-th/0607142, 10.1063/1.2759443
Vogeler, Kirsten ; Flohr, Michael. / Pure gauge SU(2) Seiberg-Witten theory and modular forms. In: Journal of mathematical physics. 2007 ; Vol. 48, No. 8.
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