4 papers
Exact equivalences and phase discrepancies between random matrix ensembles
Leonardo Santilli, Miguel Tierz
We study two types of random matrix ensembles that emerge when considering the same probability measure on partitions. One is the Meixner ensemble with a hard wall and the other ar…
Five-dimensional cohomological localization and squashed -deformations of two-dimensional Yang-Mills theory
Leonardo Santilli, Richard J. Szabo, Miguel Tierz
We revisit the duality between five-dimensional supersymmetric gauge theories and deformations of two-dimensional Yang-Mills theory from a new perspective. We give a unified treatm…
On and : phase transitions and integrability
Leonardo Santilli, Miguel Tierz
We study supersymmetric Yang-Mills theories on the three-sphere, with massive matter and Fayet-Iliopoulos parameter, showing second order phase transitions for the non-Abelian theo…
Phase transition in complex-time Loschmidt echo of short and long range spin chain
Leonardo Santilli, Miguel Tierz
We explain and exploit the random matrix formulation of the Loschmidt echo for the XX spin chain, valid for multiple domain wall initial states and also for a XX spin chain general…