output
19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

Showing 2018Show all

11 papers · 1 filter

math-ph2018★ 18 cited

Opers for higher states of quantum KdV models

Davide Masoero, Andrea Raimondo

We study the ODE/IM correspondence for all states of the quantum -KdV model, where is the affinization of a simply-laced simple Lie…

math.FA2018★ 4 cited

Ordinary differential equations with point interactions: An inverse problem

Nuno Costa Dias, Cristina Jorge, Joao Nuno Prata

Given a linear ordinary differential equation (ODE) on $\RE$ and a set of interface conditions at a finite set of points $I \subset \RE$, we consider the problem of determining ano…

hep-th2018★ 26 cited

Large phase transition in -deformed Yang-Mills theory on the sphere

Leonardo Santilli, Miguel Tierz

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

math.SP2018

On the hot spots of quantum trees

James Kennedy, Jonathan Rohleder

We show that any second eigenfunction of the Laplacian with standard vertex conditions on a metric tree graph attains its extremal values only at degree one vertices, and give an e…

hep-th2018★ 9 cited

Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory

Leonardo Santilli, Miguel Tierz

We study the phase transitions of three-dimensional Chern-Simons theory on with a varied number of massive fundamental hypermultiplets and wit…

math.SP2018★ 57 cited

Surgery principles for the spectral analysis of quantum graphs

Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov +1

We present a systematic collection of spectral surgery principles for the Laplacian on a metric graph with any of the usual vertex conditions (natural, Dirichlet or -type), whic…

gr-qc2018★ 9 cited

Hamiltonian analysis of the BFCG formulation of General Relativity

Aleksandar Mikovic, Miguel A. Oliveira, Marko Vojinovic

We perform the complete Hamiltonian analysis of the BFCG action for General Relativity. We determine all the constraints of the theory and classify them into the first-class and th…

hep-th2018★ 2 cited

Complex (super)-matrix models with external sources and -ensembles of Chern-Simons and ABJ(M) type

Leonardo Santilli, Miguel Tierz

The Langmann-Szabo-Zarembo (LSZ) matrix model is a complex matrix model with a quartic interaction and two external matrices. The model appears in the study of a scalar field theor…

hep-th2018★ 4 cited

Wilson loops and free energies in SYM: exact results, exponential asymptotics and duality

Miguel Tierz

We show that supersymmetric gauge theories on with massive fundamental hypermultiplets and with a Fayet-Iliopoulos (FI) term are solvabl…

math.PR2018

On Bernstein processes generated by hierarchies of linear parabolic systems in Rd

Pierre-A. Vuillermot, Jean-C. Zambrini

In this article we investigate the properties of Bernstein processes generated by infinite hierarchies of forward-backward systems of decoupled linear deterministic parabolic parti…

math.SP2018★ 13 cited

The damped wave equation with unbounded damping

Pedro Freitas, Petr Siegl, Christiane Tretter

We analyze new phenomena arising in linear damped wave equations on unbounded domains when the damping is allowed to become unbounded at infinity. We prove the generation of a cont…