9 problems

The amplituhedron is a geometric region in momentum-twistor space whose canonical form is intended to produce scattering amplitudes at tree level and loop integrands at loop level.…

In ${\cal N}=4$ supersymmetric Yang--Mills theory, consider dressed mean fields, written in terms of dressing functions and kernels. Gauge-independence conjecture. All gauge depend…

Let the string theories under consideration be high-dimensional, genuine string theories rather than the kinematical strands described earlier, and let the comparison theories be c…

M-theory is described, at least in the infinite momentum frame, by the dimensional reduction to one dimension of ten-dimensional supersymmetric Yang--Mills theory, denoted…

Let $Z_\ell(g)$ be the observable defined in the paper, with $A_\ell(g)$ its perturbative prefactor. Let $\delta^+$ and $\delta^-$ range over the sets of exponential corrections, w…

The amplituhedron is a positive geometric object in momentum-twistor space, with loop configurations subject to positivity and mutual-positivity conditions. Its canonical forms pro…

Multi-particle form-factor conjecture. At finite coupling, the multi-particle form factor is given by the product

Let the gauge group be $SU(N)$), and consider planar scattering amplitudes of maximally supersymmetric Yang–Mills theory in the large-$N$ limit. The trace ordering of the gluons de…

Mason's conjecture. When weighted by the exponential of this new action, $\big\langle\mathrm{W}[C]\big\rangle$ yields the complete planar S-matrix of $\mathcal{N}=4$ super YangMill…