Find in Library
Search millions of books, articles, and more
Indexed Open Access Databases
Lifting heptagon symbols to functions
oleh: Lance J. Dixon, Yu-Ting Liu
Format: | Article |
---|---|
Diterbitkan: | SpringerOpen 2020-10-01 |
Deskripsi
Abstract Seven-point amplitudes in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory have previously been constructed through four loops using the Steinmann cluster bootstrap, but only at the level of the symbol. We promote these symbols to actual functions, by specifying their first derivatives and boundary conditions on a particular two-dimensional surface. To do this, we impose branch-cut conditions and construct the entire heptagon function space through weight six. We plot the amplitudes on a few lines in the bulk Euclidean region, and explore the properties of the heptagon function space under the coaction associated with multiple polylogarithms.