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Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory

A. Belhaj·E. H. Saidi
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Abstract

We study the singularities of the Higgs branch of supersymmetric U(1)^r gauge theories with eight supercharges. We derive new solutions for the moduli space of vacua preserving manifestly the eight supercharges by using a geometric realization of the SU(2)_R symmetry and a separation procedure of the gauge and SU(2)_R charges, which allow us to put the hypermultiplet vacua in a form depending on a parameter $γ$. For $γ=1$, we obtain new models which flow in the infrared to 2d N=(4,4) conformal models and we show that the classical moduli spaces are given by intersecting cotangent weighted complex projective spaces containing the small instanton singularity, discussed in [17], as a leading special case. We also make comments regarding the d$2d N=4 conformal Liouville description of the Higgs branch throat by following the analysis of [18]. Other features are also discussed.

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A. Belhaj, E. H. Saidi. 2000-02-24. Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory. https://doi.org/10.1088/0264-9381%2F18%2F1%2F305

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