Grupo de Física Matemática

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19972022

most citedOn the metric operator for the imaginary cubic oscillator

121 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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hep-th2021★ 3 cited

Crystal bases and three-dimensional $N = 4$ 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 $N = 4$ gauge theories. The resu…

hep-th2021★ 13 cited

Phases of five-dimensional supersymmetric gauge theories

Leonardo Santilli

Five-dimensional $N = 1$ theories with gauge group $U (N)$ , $S U (N)$ , $U S p (2 N)$ and $S O (N)$ are studied at large rank through localization on a large sphere. The phase diagra…

hep-th2021★ 11 cited

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…

hep-th2020★ 14 cited

$T T$ -deformation of $q$ -Yang-Mills theory

Leonardo Santilli, Richard J. Szabo, Miguel Tierz

We derive the $T T$ -perturbed version of two-dimensional $q$ -deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first or…

hep-th2020★ 8 cited

Standard Model and 4-groups

Aleksandar Mikovic, Marko Vojinovic

We show that a categorical generalization of the the Poincaré symmetry which is based on the n-crossed modules becomes natural and simple when n=3 and that the corresponding 3-form…

hep-th2020★ 5 cited

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

Leonardo Santilli, Miguel Tierz

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 fu…

hep-th2020★ 10 cited

Multiple phases in a generalized Gross-Witten-Wadia matrix model

Jorge G. Russo, Miguel Tierz

We study a unitary matrix model of the Gross-Witten-Wadia type, extended with the addition of characteristic polynomial insertions. The model interpolates between solvable unitary…

hep-th2020★ 5 cited

Five-dimensional cohomological localization and squashed $q$ -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…

hep-th2019★ 3 cited

On $SQED_{3}$ and $SQCD_{3}$ : 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…

hep-th2019★ 13 cited

Matrix models for classical groups and Toeplitz $\pm$ Hankel minors with applications to Chern-Simons theory and fermionic models

David García-García, Miguel Tierz

We study matrix integration over the classical Lie groups $U (N), S p (2 N), O (2 N)$ and $O (2 N + 1)$ , using symmetric function theory and the equivalent formulation in terms of determinants…

hep-th2018★ 26 cited

Large $N$ phase transition in $T T$ -deformed $2 d$ Yang-Mills theory on the sphere

Leonardo Santilli, Miguel Tierz

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

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 $N = 2$ $U (N)$ Chern-Simons theory on $S^{3}$ with a varied number of massive fundamental hypermultiplets and wit…

hep-th2018★ 2 cited

Complex (super)-matrix models with external sources and $q$ -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 $3 d$ $N = 4$ SYM: exact results, exponential asymptotics and duality

Miguel Tierz

We show that $U (N)$ $3 d$ $N = 4$ supersymmetric gauge theories on $S^{3}$ with $N_{f}$ massive fundamental hypermultiplets and with a Fayet-Iliopoulos (FI) term are solvabl…

hep-th2016★ 3 cited

Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and $s u (1, 1)$ oscillators

Miguel Tierz

We give explicit analytical expressions for the partition function of $U (N)_{k} \times U (N + M)_{- k}$ ABJ theory at weak coupling ( $k \to \infty)$ for finite and arbitrary val…

hep-th2016★ 8 cited

Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials

Miguel Tierz

We solve for finite $N$ the matrix model of supersymmetric $U (N)$ Chern-Simons theory coupled to $N_{f}$ fundamental and $N_{f}$ anti-fundamental chiral multiplets of $R$ -charge $1…

hep-th2015★ 7 cited

Mordell integrals and Giveon-Kutasov duality

Georgios Giasemidis, Miguel Tierz

We solve, for finite $N$ , the matrix model of supersymmetric $U (N)$ Chern-Simons theory coupled to $N_{f}$ massive hypermultiplets of $R$ -charge $\frac{1}{2}$ , together with a Faye…

hep-th2013★ 7 cited

Critical behaviour for scalar nonlinear waves

Davide Masoero, Andrea Raimondo, Pedro R. S. Antunes

In the long-wave regime, nonlinear waves may undergo a phase transition from a smooth to a fast oscillatory behaviour. We study this phenomenon, commonly known as dispersive shock,…

hep-th2011★ 14 cited

Categorifying the Knizhnik-Zamolodchikov Connection

Lucio S. Cirio, João Faria Martins

In the context of higher gauge theory, we construct a flat and fake flat 2-connection, in the configuration space of $n$ particles in the complex plane, categorifying the Knizhnik-…

hep-th2011★ 14 cited

Unitary Chern-Simons matrix model and the Villain lattice action

Mauricio Romo, Miguel Tierz

We use the Villain approximation to show that the Gross-Witten model, in the weak- and strong-coupling limits, is related to the unitary matrix model that describes U(N) Chern-Simo…

hep-th2011★ 11 cited

Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model

Richard J. Szabo, Miguel Tierz

We show that the chiral partition function of two-dimensional Yang-Mills theory on the sphere can be mapped to the partition function of the homogeneous six-vertex model with domai…

hep-th2010★ 3 cited

Noncommutative Black Holes and the Singularity Problem

C. Bastos, O. Bertolami, N. C. Dias +1

A phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model is considered to study the interior of a Schwarzschild black hole. Due to the divergence of th…

hep-th2010★ 6 cited

Matrix models and stochastic growth in Donaldson-Thomas theory

Richard J. Szabo, Miguel Tierz

We show that the partition functions which enumerate Donaldson-Thomas invariants of local toric Calabi-Yau threefolds without compact divisors can be expressed in terms of speciali…

hep-th2000★ 1 cited

Gauge strata and particle generations

R. Vilela Mendes

Phenomenological evidence suggests the existence of non-trivial background fields in the QCD vacuum. On the other hand SU(3) gauge theory possessses three different classes of both…

Crystal bases and three-dimensional N=4 Coulomb branches

Phases of five-dimensional supersymmetric gauge theories

Multiple phases and meromorphic deformations of unitary matrix models

TT-deformation of q-Yang-Mills theory

Standard Model and 4-groups

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

Multiple phases in a generalized Gross-Witten-Wadia matrix model

Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory

On SQED3​ and SQCD3​: phase transitions and integrability

Matrix models for classical groups and Toeplitz±Hankel minors with applications to Chern-Simons theory and fermionic models

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

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

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

Wilson loops and free energies in 3d N=4 SYM: exact results, exponential asymptotics and duality

Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and su(1,1) oscillators

Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials

Mordell integrals and Giveon-Kutasov duality

Critical behaviour for scalar nonlinear waves

Categorifying the Knizhnik-Zamolodchikov Connection

Unitary Chern-Simons matrix model and the Villain lattice action

Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model

Noncommutative Black Holes and the Singularity Problem

Matrix models and stochastic growth in Donaldson-Thomas theory

Gauge strata and particle generations

Crystal bases and three-dimensional $N = 4$ Coulomb branches

$T T$ -deformation of $q$ -Yang-Mills theory

Five-dimensional cohomological localization and squashed $q$ -deformations of two-dimensional Yang-Mills theory

On $SQED_{3}$ and $SQCD_{3}$ : phase transitions and integrability

Matrix models for classical groups and Toeplitz $\pm$ Hankel minors with applications to Chern-Simons theory and fermionic models

Large $N$ phase transition in $T T$ -deformed $2 d$ Yang-Mills theory on the sphere

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

Wilson loops and free energies in $3 d$ $N = 4$ SYM: exact results, exponential asymptotics and duality

Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and $s u (1, 1)$ oscillators