Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type AA

Jun 6, 2016
62 pages
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Abstract: (arXiv)
We show that Coulomb branches of quiver gauge theories of affine type AA are Cherkis bow varieties, which have been introduced as ADHM type description of moduli space of instantons on the Taub-NUT space equivariant under a cyclic group action.
Note:
  • 62 pages; v2. definitions of deformation of bow varieties and Coulomb branches are corrected; v3. A detailed proof of the claim that Hanany-Witten transition preserves symplectic forms is given; v4. Errata are added
  • gauge field theory: affine
  • gauge field theory: quiver
  • instanton: moduli space
  • space: Taub-NUT
  • Coulomb
  • cyclic