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Article Dans Une Revue Journal of High Energy Physics Année : 2013

Generalized quiver mutations and single-centered indices

Résumé

Quiver quantum mechanics is invariant under Seiberg duality. A mathematical consequence is that the cohomology of the Higgs branch moduli space is invariant under mutations of the quiver. The Coulomb branch formula, on the other hand, conjecturally expresses the Poincaré / Dolbeault polynomial of the Higgs branch moduli space in terms of certain quantities known as single-centered indices. In this work we determine the transformations of these single-centered indices under mutations. Moreover, we generalize these mutations to quivers whose nodes carry single-centered indices different from unity. Although the Higgs branch description of these generalized quivers is currently unknown, the Coulomb branch formula is conjectured to be invariant under generalized mutations.

Dates et versions

hal-00933685 , version 1 (20-01-2014)

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Jan Manschot, Boris Pioline, Ashoke Sen. Generalized quiver mutations and single-centered indices. Journal of High Energy Physics, 2013, pp.JHEP 1401 (2014) 050. ⟨10.1007/JHEP01(2014)050⟩. ⟨hal-00933685⟩
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