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Modular invariance in superstring theory from $$ \mathcal{N} $$ = 4 super-Yang-Mills

Modular invariance in superstring theory from $$ \mathcal{N} $$ = 4 super-Yang-Mills

A bstract We study the four-point function of the lowest-lying half-BPS operators in the $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 SU( N ) super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large- N expansion in which …