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from Part II - Extensions and applications
Published online by Cambridge University Press: 28 November 2024
In this chapter, we shall draw together a number of different strands of inquiry addressed in Chapters 5, 12, and 13. We shall study the interplay between superstring amplitudes, their low-energy effective interactions, Type IIB supergravity, and the S-duality symmetry of Type IIB superstring theory. We begin with a brief review of Type IIB supergravity which, in particular, provides the massless sector of Type IIB superstring theory. We then discuss how the SL(2,R) symmetry of Type IIB supergravity is reduced to the SL(2,Z) symmetry of Type IIB superstring theory via an anomaly mechanism. We conclude with a discussion of how the low-energy effective interactions induced by string theory on supergravity may be organized in terms of modular functions and modular graph forms under this SL(2,Z) symmetry, and match the predictions provided by perturbative calculations of Chapter 12.
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