On the 5d instanton index as a Hilbert series
Copyright policy )On the 5d instanton index as a Hilbert series
The superconformal index for N=2 5d theories contains a non-perturbative part arising from 5d instantonic operators which coincides with the Nekrasov instanton partition function. In this note, for pure gauge theories, we elaborate on the relation between such instanton index and the Hilbert series of the instanton moduli space. We propose a non-trivial identification of fugacities allowing the computation of the instanton index through the Hilbert series. We show the agreement of our proposal with existing results in the literature, as well as use it to compute the exact index for a pure U(1) gauge theory.
13 pages, 2 figures
Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), FOS: Physical sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), FOS: Physical sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).22 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!