Cluster adjacency and the four-loop NMHV heptagon
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Publication:2421096
DOI10.1007/JHEP03(2019)087zbMath1414.81251arXiv1812.04640MaRDI QIDQ2421096
Georgios Papathanasiou, Ömer Gürdoğn, Jack Foster, James M. Drummond
Publication date: 8 June 2019
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.04640
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) (n)-body potential quantum scattering theory (81U10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)
Related Items (42)
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory
- Eliminating spurious poles from gauge-theoretic amplitudes
- The complete planar S-matrix of \(\mathcal{N} = 4\) SYM as a Wilson loop in twistor space
- Notes on the scattering amplitude -- Wilson loop duality
- Thermodynamic bubble ansatz
- Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
- Dual superconformal symmetry of scattering amplitudes in \({\mathcal N}=4\) super-Yang-Mills theory
- Symmetries and analytic properties of scattering amplitudes in \({\mathcal N}=4\) SYM theory
- Hexagon functions and the three-loop remainder function
- Bounding scalar operator dimensions in 4D CFT
- On planar gluon amplitudes/Wilson loops duality
- Conformal properties of four-gluon planar amplitudes and Wilson loops
- Hexagon Wilson loop = six-gluon MHV amplitude
- Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
- The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- Heptagons from the Steinmann cluster bootstrap
- The S-matrix bootstrap. I: QFT in AdS
- The S-matrix bootstrap. II: Two dimensional amplitudes
- Notes on motivic periods
- Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills
- Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
- One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
- Bootstrapping the three-loop hexagon
- Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory
- Galois symmetries of fundamental groupoids and noncommutative geometry
- The double pentaladder integral to all orders
- The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
- MHV amplitudes in \(\mathcal N=4\) super-Yang-Mills and Wilson loops
- The Bethe roots of Regge cuts in strongly coupled \( \mathcal{N}=4 \) SYM theory
- Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
- Iterated path integrals
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