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 describe the moduli space of SU (N) instantons in the presence of a general surface
operator of type N= n 1+⋯+ n M in terms of the representations of the so-called chain-saw …

Quantum field theory L_1 L 1 on spacetime X_ 1 X 1 can be coupled to another quantum
field theory L_2 L 2 on a spacetime X_ 2 X 2 via the third quantum field theory L_ 12 L 12 …

A bstract We propose an interesting BPS/CFT correspondence playground: the correlation
function of two intersecting half-BPS surface defects in four-dimensional\(\mathcal {N}\)= 2 …

A bstract We show that the vortex moduli space in non-abelian supersymmetric\(\mathcal
{N}=\left ({{2},{2}}\right)\) gauge theories on the two dimensional plane with adjoint and anti …

We study instanton partition functions for\(\mathcal {N}= 2\) superconformal Sp (1) and SO
(4) gauge theories. We find that they agree with the corresponding U (2) instanton partitions …

We analyze conformal blocks with multiple (semi-) degenerate field insertions in
Liouville/Toda conformal field theories an show that their vector space is fully reproduced by …

A string theoretic derivation is given for the conjecture of Hausel, Letellier and Rodriguez-
Villegas on the cohomology of character varieties with marked points. Their formula is …

We give an Atiyah–Drinfel'd–Hitchin–Manin (ADHM) description of the Quot scheme of
points Quot ℂ n (c, r), of length c and rank r on affine spaces ℂ n which naturally extends …

We introduce and study a surface defect in four-dimensional gauge theories supporting
nested instantons with respect to the parabolic reduction of the gauge group at the defect …