Asset Details
Do you wish to reserve the book?
A note on letters of Yangian invariants
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
A note on letters of Yangian invariants
Do you wish to request the book?
A note on letters of Yangian invariants
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
A note on letters of Yangian invariants
2021
Overview
A
bstract
Motivated by reformulating Yangian invariants in planar
N
= 4 SYM directly as
d
log forms on momentum-twistor space, we propose a purely algebraic problem of determining the arguments of the
d
log’s, which we call “letters”, for any Yangian invariant. These are functions of momentum twistors
Z
’s, given by the positive coordinates
α
’s of parametrizations of the matrix
C
(
α
), evaluated on the support of polynomial equations
C
(
α
) ·
Z
= 0. We provide evidence that the letters of Yangian invariants are related to the cluster algebra of Grassmannian
G
(4
, n
), which is relevant for the symbol alphabet of
n
-point scattering amplitudes. For
n
= 6
,
7, the collection of letters for all Yangian invariants contains the cluster
A
coordinates of
G
(4
, n
). We determine algebraic letters of Yangian invariant associated with any “four-mass” box, which for
n
= 8 reproduce the 18 multiplicative-independent, algebraic symbol letters discovered recently for two-loop amplitudes.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
