The single-sum giant graviton expansion of ADHM Higgs indices is proposed to encode, in two fugacity limits, the vacuum characters of the affine Kac-Moody algebras \ hat su(l)_1^{\ times m} and \ hat su(l)_m.
N=1 superconformal blocks with Ramond fields from AGT correspondence
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We use AGT correspondence between N=2 SUSY Yang-Mills theory on ${\mathbb R}^4/{\mathbb Z}_2$ and two-dimensional CFT model with the algebra $ {\cal H} \oplus \hat{sl}(2)_2 \oplus \text{NSR}$ to obtain the explicit expressions for 4-point NSR conformal blocks including Ramond fields in terms of Nekrasov partition functions and correlation functions of $\hat{sl}(2)_2$ WZW model.
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Kac-Moody algebras from M5-giants
The single-sum giant graviton expansion of ADHM Higgs indices is proposed to encode, in two fugacity limits, the vacuum characters of the affine Kac-Moody algebras \ hat su(l)_1^{\ times m} and \ hat su(l)_m.