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Outlining a revolutionary reformulation of the foundations of perturbative quantum field
theory, this book is a self-contained and authoritative analysis of the application of this new …

We establish a direct connection between scattering amplitudes in planar four-dimensional
theories and a remarkable mathematical structure known as the positive Grassmannian. The …

A bstract We give an explicit realization of the 4d local operator/2d conformal block
correspondence of Costello and Paquette in the case of gauge theories. This is …

The existence of interacting higher-spin theories is tightly constrained by many no-go
theorems. In this paper, we construct a chiral, higher-spin generalization of Yang–Mills …

A bstract Celestial amplitudes obtained from Mellin transforming 4d momentum space
scattering amplitudes contain distributional delta functions, hindering the application of …

We present all-multiplicity formulae, derived from first principles in the MHV sector and
motivated by twistor string theory for general helicities, for the tree-level S-matrix of gluon …

We prove that in the limit when its insertion points become pairwise null-separated, the ratio
of certain n-point correlation functions in N= 4 SYM is equal to a supersymmetric Wilson loop …

A bstract We consider the ratio of the correlation function of n+ 1 local operators over the
correlator of the first n of these operators in planar\(\mathcal {N}= 4\) super-Yang-Mills …

We reformulate Euclidean general relativity without cosmological constant as an action
governing the complex structure of twistor space. Extending Penrose's non-linear graviton …