# Truncated cluster algebras and Feynman integrals with algebraic letters

@inproceedings{He2021TruncatedCA, title={Truncated cluster algebras and Feynman integrals with algebraic letters}, author={Song He and Zhenjie Li and Qinglin Yang}, year={2021} }

We propose that the symbol alphabet for classes of planar, dual-conformalinvariant Feynman integrals can be obtained as truncated cluster algebras purely from their kinematics, which correspond to boundaries of (compactifications of) G+(4, n)/T for the n-particle massless kinematics. For one-, two-, three-mass-easy hexagon kinematics with n = 7, 8, 9, we find finite cluster algebras D4, D5 and D6 respectively, in accordance with previous result on alphabets of these integrals. As the main… Expand

#### 2 Citations

Comments on all-loop constraints for scattering amplitudes and Feynman integrals

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- 2021

We comment on the status of “Steinmann-like” constraints, i.e. allloop constraints on consecutive entries of the symbol of scattering amplitudes and Feynman integrals in planar N = 4… Expand

The elliptic double box and symbology beyond polylogarithms

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- 2021

We study the elliptic double-box integral, which contributes to generic massless QFTs and is the only contribution to a particular 10-point scattering amplitude in N = 4 SYM theory. Based on a… Expand

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