Mathematical Aspects of N=4 Super-Yang-Mills Theory: February 26-March 1, 2024

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Organized by:

  • Benjamin Basso (Ecole Normale Superieure)
  • Lance Dixon (SLAC/Stanford U.)
  • Jaroslav Trnka (UC Davis)
  • Anastasia Volovich (Brown)

Scattering Amplitudes in N=4 Super-Yang-Mills theory have a rich mathematical structure, involving Grassmannians and polytopes, the amplituhedron, tropicalization, cluster algebras, Hopf algebras, motivic zeta values, multiple polylogarithms and Galois theory, elliptic polylogarithms and Calabi-Yau geometries, and Y systems.  These structures are all required to describe aspects of either the weak or strong coupling expansions of amplitudes; describing amplitudes at finite coupling may require even further mathematical developments. This workshop will bring mathematicians and physicists together, in order to explore how known mathematical structures enter N=4 scattering, and to discover what new structures may be just around the corner.

This workshop is associated with the program Solving N=4 super-Yang-Mills theory via Scattering Amplitudes: January 8, 2024 – March 8, 2024

 

Talk Schedule


Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Form Factor of the stress-tensor supermultiplet in N=4 SYM Gang Yang SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Holomorphic polylogarithms, motivic complexes, and differential forms Christian Zickert SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm Towards a Kronecker function at genus two Johannes Broedel SCGP 102
2:30pm Determinant operators and massive amplitudes in N=4 SYM Frank Coronado SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm String-like amplitudes for surfaces beyond the disk Hugh Thomas SCGP 102

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Form Factor OPE program and its underlying dual Wilson loop description Alex Tumanov (Zoom) SCGP 102/Zoom
10:30am Coffee Break N/A SCGP Cafe
11:00am Cluster adjacency and tilings for the m=4 amplituhedron Melissa Sherman-Bennett SCGP 102
12:00pm Group Photo N/A SCGP Lobby
12:00pm Lunch N/A SCGP Cafe
1:15pm Coulomb Branch Amplitudes from a Deformed Amplituhedron Geometry Johannes Henn SCGP 102
2:30pm Finite Feynman Integrals David Kosower SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Null-cone geometry for N=4 scattering amplitudes Livia Ferro SCGP 102

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Grassmannian Cluster Algebras Beyond Finite Type Dani Kaufman (Zoom) SCGP 102/Zoom
10:30am Coffee Break N/A SCGP Cafe
11:00am Novel features of modular forms arising in correlators of N=4 SYM Michael Green SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm The Gröbner theory of Scattering Amplitudes Lara Bossinger SCGP 102
2:30pm Tracy-Widom distribution in supersymmetric gauge theories Gregory Korchemsky SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Quantum affine algebras and their applications to scattering amplitudes Jianrong Li SCGP 102
6:00pm Banquet Dinner N/A SCGP Cafe

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Feynman integrals and Feynman Amplitudes beyond polylogarithms Lorenzo Tancredi SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Antipodal dualities: reading form factors backwards Omer Gurdogan SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm A cluster of results on amplituhedron tiles Lauren Williams SCGP 102
2:30pm Symmetries of weight 6 multiple polylogarithms, and Goncharov’s depth conjecture Steven Charlton SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm TBA Nima Arkani-Hamed (Zoom) SCGP 102/Zoom

Time Title Speaker Location
8:30am Breakfast N/A SCGP Cafe
9:30am Fishnet CFT’s and integrable Feynman graphs Vladimir Kazakov (Zoom) SCGP 102/Zoom
10:30am Coffee Break N/A SCGP Cafe
11:00am Fishnet Theories, Yangian Symmetries and Calabi-Yau volumes Albrecht Klemm SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:15pm Towards solving two-loop scattering in planar N=4 SYM theory Anne Spiering SCGP 102
2:30pm The Geometric, Algebraic, and Transcendental Structure of Perturbative QFT Jacob Bourjaily SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Loops in a loop expansion Shruti Paranjape SCGP 102