IAS Amplitudes Group Meeting
The Supersymmetric EFThedron, String Theory and Deformed Monodromy
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Abstract: I will discuss some novel conjectures regarding the space of maximally supersymmetric, non-gravitational theories. In the first part, I review how EFThedron bounds on Wilson coefficients in planar N=4 super-Yang-Mills are derived and discuss some novel features of theory space. I will then review a conjecture in 2008.02293 which states that imposing monodromy constraints and EFThedron bounds is enough to uniquely isolate the Type-I Veneziano amplitude. Imposing monodromy corresponds to fixing a subset of Wilson coefficients to their stringy values. Motivated by this result, I then conjecture a significant generalization, the deformed monodromy conjecture, which states that fixing a subset of the Wilson coefficients to generic values, together with EFThedron constraints, uniquely fixes the remaining Wilson coefficients. I conclude with a short discussion of numeric evidence and possible implications.