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String theory amplitudes and UV behavior of half maximal supergravity

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In this talk I shall discuss various ways in which string theory may be used to constrain the ultraviolet (UV) behavior of its low energy limits; supergravity theories. I shall begin by reviewing the links between string theory amplitudes and the UV behavior of theories of supergravity. It appears that some aspects of those links can be well described in the mathematical framework of “tropical geometry”, a recent mathematical theory that I shall quickly discuss. The most important part of the talk is then dedicated to the vanishing of the three-loop UV divergence in four-graviton amplitudes in four dimensionnal half-maximal supergravity (with matter fields). We shall see how a non-renormalisation theorem in Heterotic string rules out this divergence and postpones it to the four-loop order.

This talk is part of the Quantum Fields and Strings Seminars series.

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