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Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels

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Large N phase transition in TT -deformed 2d Yang–Mills theory on the sphere

We study the partition function of a TT -deformed version of Yang–Mills theory on the two-sphere. We show that the Douglas–Kazakov phase transition persists for a range of values of the deformation…

Large N phase transition in TT¯$$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere

A bstractWe study the partition function of a TT¯$$ T\overline{T} $$ -deformed version of Yang-Mills theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a range…
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Exact equivalences and phase discrepancies between random matrix ensembles

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 are two families of…
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Phase transitions and Wilson loops in antisymmetric representations in Chern–Simons-matter theory

We study the phase transitions of three-dimensional Chern–Simons theory on with a varied number of massive fundamental hypermultiplets and with a Fayet–Iliopoulos parameter. We characterize the…
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Phase transition in complex-time Loschmidt echo of short and long range spin chain

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 an XX spin chain generalized with…
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TT -deformation of q-Yang-Mills theory

We derive the TT -perturbed version of two-dimensional q-deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first order formalism to…

Multiple phases and meromorphic deformations of unitary matrix models

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Exact results and Schur expansions in quiver Chern-Simons-matter theories

We study several quiver Chern-Simons-matter theories on the three-sphere, combining the matrix model formulation with a systematic use of Mordell’s integral, computing partition functions and…
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Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory

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 treatment of…
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