Proves a fermionic-bosonic duality relation for the Macdonald index in (A1, D2k+1) Argyres-Douglas theories via a new conjugate Bailey pair from orthogonal polynomials and hypergeometric series, confirming a conjectural fermionic formula.
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A refined Kontsevich-Soibelman operator is conjectured to have trace equal to the Macdonald index for special 4d N=2 SCFTs, yielding closed forms for (A1, g) Argyres-Douglas theories.
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On conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theories
Proves a fermionic-bosonic duality relation for the Macdonald index in (A1, D2k+1) Argyres-Douglas theories via a new conjugate Bailey pair from orthogonal polynomials and hypergeometric series, confirming a conjectural fermionic formula.
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Macdonald Index From Refined Kontsevich-Soibelman Operator
A refined Kontsevich-Soibelman operator is conjectured to have trace equal to the Macdonald index for special 4d N=2 SCFTs, yielding closed forms for (A1, g) Argyres-Douglas theories.