Recently, a duality between Liouville theory and four dimensional\(\mathcal {N}= 2\) gauge
theory has been uncovered by some of the authors. We consider the role of extended …

A bstract We study modular invariants arising in the four-point functions of the stress tensor
multiplet operators of the\(\mathcal {N}\)= 4 SU (N) super-Yang-Mills theory, in the limit …

We initiate the classification of unitary superconformal defects in unitary superconformal field
theories (SCFT) of diverse spacetime dimensions $3\leq d\leq 6$. Our method explores …

4D N= 2 superconformal field theories and their invariants can be often enriched by nonlocal
Bogomol'nyi-Prasad-Sommerfield operators. In this paper we study the flavored Schur index …

We propose a correspondence between loop operators in a family of four
dimensional\(\mathcal {N}\)= 2 gauge theories on S 4—including Wilson,'t Hooft and dyonic …

A bstract We calculate planar tree level one-point functions of non-protected operators in the
defect conformal field theory dual to the D3-D5 brane system with k units of the world volume …

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 …

We advance a correspondence between the topological defect operators in Liouville and
Toda conformal field theories—which we construct—and loop operators and domain wall …

We evaluate the one loop determinant of matter multiplet fields of\(\mathcal {N}= 4\)
supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate …

A bstract We study particular integrated correlation functions of two superconformal primary
operators of the stress tensor multiplet in the presence of a half-BPS line defect labelled by …