Cluster adjacency for m = 2 Yangian invariants

Journal Article · 14 October 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP10(2019)158 · OSTI ID:1594823

Łukowski, Tomasz ^[1]; Parisi, Matteo ^[2]; Spradlin, Marcus ^[3]; Volovich, Anastasia ^[3]

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1. Univ. of Hertfordshire (United Kingdom)
2. Univ. of Oxford (United Kingdom)
3. Brown Univ., Providence, RI (United States)

We classify the rational Yangian invariants of the m = 2 toy model of N = 4 Yang-Mills theory in terms of generalised triangles inside the amplituhedron $$A$$$^{(2)}_{n,k}$$. We enumerate and provide an explicit formula for all invariants for any number of particles n and any helicity degree k. Each invariant manifestly satisfies cluster adjacency with respect to the Gr(2, n) cluster algebra.

• Research Organization: Brown Univ., Providence, RI (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation; National Science Foundation (NSF); CERN Theory Group
• Grant/Contract Number: SC0010010; 376208; PHY-1607611
• OSTI ID: 1594823
• Journal Information: Journal of High Energy Physics (Online), Vol. 2019, Issue 10; ISSN 1029-8479
• Publisher: Springer BerlinCopyright Statement
• Country of Publication: United States
• Language: English