A bstract We analyze the constraints imposed by unitarity and crossing symmetry on the four-
point function of the stress-tensor multiplet of\(\mathcal {N}= 8\) superconformal field theories …

A bstract We use the superconformal bootstrap to derive exact relations between OPE
coefficients in three-dimensional superconformal field theories with\(\mathcal {N}\ge 4\) …

Road intersections are usually a bottleneck in big cities and might lead to severe congestion
during rush hour traffic. With highly automated vehicles leveraging vehicle-to-vehicle …

The main purpose of this chapter is to introduce the latest developments in SDPA and its
family. SDPA is designed to solve large-scale SemiDefinite Programs (SDPs) faster and …

We use the conformal bootstrap to study conformal field theories with O (N) global symmetry
in d= 5 and d= 5.95 space-time dimensions that have a scalar operator ϕ i transforming as …

This paper explores polynomial optimization techniques for two formulations of the energy
conservation constraint for the valve setting problem in water networks. The sparse …

In the past two decades, the semidefinite programming (SDP) technique has been proven to
be extremely successful in the convexification of hard optimization problems appearing in …

The structure of the contact network through which a disease spreads may influence the
optimal use of resources for epidemic control. In this work, we explore how to minimize the …

For many communicable diseases, knowledge of the underlying contact network through
which the disease spreads is essential to determining appropriate control measures. When …

Semidefinite programming is a powerful modeling tool for a wide range of optimization and
feasibility problems. Its prevalent use in practice relies on the fact that a (nearly) optimal …