Hilbert series for moduli spaces of instantons on ℂ2/ℤn View Full Text


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Article Info

DATE

2014-01

AUTHORS

Anindya Dey, Amihay Hanany, Noppadol Mekareeya, Diego Rodríguez-Gómez, Rak-Kyeong Seong

ABSTRACT

We study chiral gauge-invariant operators on moduli spaces of G instantons for any classical group G on A-type ALE spaces using Hilbert Series (HS). Moduli spaces of instantons on an ALE space can be realized as Higgs branches of certain quiver gauge theories which appear as world-volume theories on Dp branes in a Dp-D(p + 4) system with the D(p + 4) branes (with or without O(p + 4) planes) wrapping the ALE space. We study in detail a list of quiver gauge theories which are related to G-instantons of arbitrary ranks and instanton numbers on a generic An−1 ALE space and discuss the corresponding brane configurations. For a large class of theories, we explicitly compute the Higgs branch HS which reveals various algebraic/geometric aspects of the moduli space such as the dimension of the space, generators of the moduli space and relations connecting them. In a large number of examples involving lower rank instantons, we demonstrate that HS for equivalent instantons of isomorphic gauge groups but very different quiver descriptions do indeed agree, as expected. More... »

PAGES

182

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    http://scigraph.springernature.com/pub.10.1007/jhep01(2014)182

    DOI

    http://dx.doi.org/10.1007/jhep01(2014)182

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    https://app.dimensions.ai/details/publication/pub.1036190561


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