26 citations · 189 across the 27 of their papers we have counts for
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Crystal bases and three-dimensional Coulomb branches
Leonardo Santilli, Miguel Tierz
We establish and develop a correspondence between certain crystal bases (Kashiwara crystals) and the Coulomb branch of three-dimensional gauge theories. The resu…
Schur expansion of random-matrix reproducing kernels
Leonardo Santilli, Miguel Tierz
We give expansions of reproducing kernels of the Christoffel-Darboux type in terms of Schur polynomials. For this, we use evaluations of averages of characteristic polynomials and…
Phases of five-dimensional supersymmetric gauge theories
Leonardo Santilli
Five-dimensional theories with gauge group , , and are studied at large rank through localization on a large sphere. The phase diagra…
Multiple phases and meromorphic deformations of unitary matrix models
Leonardo Santilli, Miguel Tierz
We study a unitary matrix model with Gross-Witten-Wadia weight function and determinant insertions. After some exact evaluations, we characterize the intricate phase diagram. There…