Amplitudes, form factors and the dilatation operator in N = 4 $$ \mathcal{N}=4 $$ SYM theory
نویسندگان
چکیده
منابع مشابه
From Amplitudes to Form Factors in the N=4 Sym Theory
In the past few years, much attention has been given to studying the planar limit for the scattering amplitudes in the N=4 supersymmetric Yang–Mills (SYM) theory. It is believed that the hidden symmetries responsible for integrability properties of the N=4 SYM theory completely fix the structure of the amplitudes (the S-matrix of the theory) [1]. In particular, this is manifested in the fact th...
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It is known that the Yangian of PSU(2,2|4) is a symmetry of the tree-level S matrix of N=4 super Yang-Mills theory. On the other hand, the complete one-loop dilatation operator in the same theory commutes with the level-one Yangian generators only up to certain boundary terms found by Dolan, Nappi, and Witten. Using a result by Zwiebel, we show how the Yangian symmetry of the tree-level S matri...
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The goal of this paper is to study the BMN correspondence in the fermionic sector. On the field theory side, we compute matrix elements of the dilatation operator in N = 4 Super Yang-Mills for BMN operators containing two fermion impurities. Our calculations are performed up to and including O(λ′) in the ’t Hooft coupling and O(g2) in the YangMills genus counting parameter. On the string theory...
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We give an explicit formula for all tree amplitudes in N = 4 SYM, derived by solving the recently presented supersymmetric tree-level recursion relations. The result is given in a compact, manifestly supersymmetric form and we show how to extract from it all possible component amplitudes for an arbitrary number of external particles and any arrangement of external particles and helicities. We f...
متن کاملProof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
We prove the MHV vertex expansion for all tree amplitudes of N = 4 SYM theory. The proof uses a shift acting on all external momenta, and we show that every NMHV tree amplitude falls off as 1/z, or faster, for large z under this shift. The MHV vertex expansion allows us to derive compact and efficient generating functions for all NMHV tree amplitudes of the theory. We also derive an improved fo...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2015
ISSN: 1029-8479
DOI: 10.1007/jhep02(2015)149