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Through AGT conjecture, we show how triality observed in \N=2 SU(2) N_f=4 QCDcan be interpreted geometrically as the interplay among six of Kummer'stwenty-four solutions belonging to one fixed Riemann scheme in the context ofhypergeometric differential equations. We also stress that our presentation isdifferent from the usual crossing symmetry of Liouville conformal blocks, whichis described by the connection coefficient in the case of hypergeometricfunctions. Besides, upon solving hypergeometric differential equations at thezeroth order by means of the WKB method, a curve (thrice-punctured Riemannsphere) emerges. The permutation between these six Kummer's solutions thenboils down to the outer automorphism of the associated curve.

Triality in SU(2) Seiberg-Witten theory and Gauss hypergeometric function