String and 5-brane junctions are shown to succinctly classify all known 8D N= 1 string
vacua. This requires an extension of the description for ordinary [p, q]-7-branes to …

A bstract We introduce a class of four dimensional field theories constructed by quotienting
ordinary\(\mathcal {N}= 4\) U (N) SYM by particular combinations of R-symmetry and SL (2 …

Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of
quantum field theory. In this white paper for the Snowmass process we give a brief overview …

A bstract We initiate the bootstrap program for\(\mathcal {N}= 3\) superconformal field
theories (SCFTs) in four dimensions. The problem is considered from two fronts: the …

Superconformal field theory with $\mathcal {N}= 2$ supersymmetry in four dimensional
spacetime provides a prime playground to study strongly coupled phenomena in quantum …

S-folds are a nonperturbative generalization of orientifold 3-planes which figure prominently
in the construction of four-dimensional (4D) N= 3 superconformal field theories (SCFTs) and …

A bstract Applications of the bootstrap program to superconformal field theories promise
unique new insights into their landscape and could even lead to the discovery of new …

A bstract It is expected on general grounds that the moduli space of 4d\(\mathcal {N}\)= 3
theories is of the form ℂ 3r/Γ, with r the rank and Γ a crystallographic complex reflection …

A bstract A class of 4d\(\mathcal {N}= 3\) SCFTs can be obtained from gauging a discrete
subgroup of the global symmetry group of\(\mathcal {N}= 4\) Super Yang-Mills theory. This …

A bstract The main ingredient for local superconformal methods is the multiplet of gauge
fields: the Weyl multiplet. We construct the transformations of this multiplet for\(\mathcal …