Mutation, Witten index, and quiver invariant

Heeyeon Kim, Seung Joo Lee, Piljin Yi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Abstract: We explore Seiberg-like dualities, or mutations, for N=4 quiver quantum mechanics in the context of wall-crossing. In contrast to higher dimensions, the 1d Seiberg-duality must be performed with much care. With fixed Fayet-Iliopoulos constants, at most two nodes can be mutated, one left and the other right, mapping a chamber of a quiver into a chamber of a mutated quiver. We delineate this complex pattern for triangle quivers and show how the Witten indices are preserved under such finely chosen mutations. On the other hand, the quiver invariants, or wall-crossing-safe part of supersymmetric spectra, mutate more straightforwardly, whereby a quiver is mapped to a quiver. The mutation rule that preserves the quiver invariant is different from the usual one, however, which we explore and confirm numerically.

Original languageEnglish (US)
Article number93
JournalJournal of High Energy Physics
Issue number7
StatePublished - Jul 28 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Duality in Gauge Field Theories
  • Solitons Monopoles and Instantons
  • String Duality
  • Supersymmetry and Duality


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