Cluster adjacency for m = 2 Yangian invariants

Łukowski, Tomasz; Parisi, Matteo; Spradlin, Marcus; Volovich, Anastasia

doi:10.1007/JHEP10(2019)158

Cluster adjacency for m = 2 Yangian invariants

Journal Article · Mon Oct 14 00:00:00 EDT 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]

Univ. of Hertfordshire (United Kingdom); Brown University
Univ. of Oxford (United Kingdom)
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.

View Accepted Manuscript (DOE)

Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: CERN Theory Group; National Science Foundation; Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0010010

OSTI ID:: 1594823

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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