Massive Conformal Symmetry and Integrability for Feynman Integrals

Since the rise of the AdS/CFT duality, integrability has proven to be an important 
tool to advance our understanding of massless QFT. 
In this talk we demonstrate that integrability is also present in massive QFT in D>2 
spacetime dimensions. After reviewing the connection between AdS/CFT integrability 
and massless Feynman graphs, we show that large classes of massive Feynman integrals 
are highly constrained by an infinite dimensional Yangian extension of dual conformal 
symmetry. When translated to momentum space, this leads to a novel massive generalization 
of ordinary conformal symmetry. Finally, we introduce a massive version of the so-called 
fishnet theory and argue that these features of massive Feynman integrals can be understood 
as the integrability of planar scattering amplitudes in this theory.

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