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The dilute A_3 model is a solvable IRF (interaction round a face) model with three local states and adjacency conditions encoded by the Dynkin diagram of the Lie algebra A_3. It can be regarded as a solvable version of an Ising model at the…

High Energy Physics - Theory · Physics 2008-02-03 Uwe Grimm , Bernard Nienhuis

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of…

Mathematical Physics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

The most relevant thermal perturbation of the continuous d=2 minimal conformal theory with c=7/10 (Tricritical Ising Model) is treated here. This model describes the scaling region of the phi^6 universality class near the tricritical point.…

High Energy Physics - Theory · Physics 2014-11-18 Riccardo Guida , Nicodemo Magnoli

We study in detail the analytic properties of the Thermodynamic Bethe Ansatz (TBA) equations for the anomalous dimensions of composite operators in the planar limit of the 3D N=6 superconformal Chern-Simons gauge theory and derive…

High Energy Physics - Theory · Physics 2015-06-16 Andrea Cavaglia' , Davide Fioravanti , Roberto Tateo

We derive the TBA system of equations from the S-matrix describing integrable massive perturbation of the coset $G_l \times G_m / G_{l+m}$ by the field $(1,1,adj)$ for all the infinite series of the simple Lie algebras $G=A,B,C,D$. In the…

High Energy Physics - Theory · Physics 2009-11-10 A. Babichenko

We present the TBA equations and the Y-system for the exact spectrum of general multi-magnon local operators in the $D$-dimensional anisotropic version of the bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of…

High Energy Physics - Theory · Physics 2020-09-02 Benjamin Basso , Gwenaël Ferrando , Vladimir Kazakov , De-liang Zhong

The thermal deformation of the critical point action of the 2D tricritical Ising model gives rise to an exact scattering theory with seven massive excitations based on the exceptional $E_7$ Lie algebra. The high and low temperature phases…

Statistical Mechanics · Physics 2022-05-18 A. Cortés Cubero , R. M. Konik , M. Lencsés , G. Mussardo , G. Takács

We consider perturbations of 2D CFTs by multiple relevant operators. The massive phases of such perturbations can be labeled by conformal boundary conditions. Cardy's variational ansatz approximates the vacuum state of the perturbed theory…

High Energy Physics - Theory · Physics 2023-09-19 Anatoly Konechny

We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS_5 \times S^5 mirror model, and obtain the integral equations determining the energy of two-particle excited states dual to N=4 SYM operators from…

High Energy Physics - Theory · Physics 2015-03-13 Gleb Arutyunov , Sergey Frolov , Ryo Suzuki

The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) L\"uscher-type corrections for large volumes of the vacuum energy for integrable theories with…

High Energy Physics - Theory · Physics 2015-05-30 Changrim Ahn , Zoltan Bajnok , Diego Bombardelli , Rafael I. Nepomechie

We study a series of $N\!=\!1$ supersymmetric integrable particle theories in $d=1+1$ dimensions. These theories are represented as integrable perturbations of specific $N\!=\!1$ superconformal field theories. Starting from the conjectured…

High Energy Physics - Theory · Physics 2009-10-28 M. Moriconi , K. Schoutens

We consider the quark--anti-quark potential on the three sphere or the generalized cusp anomalous dimension in planar N=4 SYM. We concentrate on the vacuum potential in the near BPS limit with $L$ units of R-charge. Equivalently, we study…

High Energy Physics - Theory · Physics 2015-06-05 Nikolay Gromov , Amit Sever

We propose TBA integral equations for multiparticle soliton (fermion) states in the Sine-Gordon (massive Thirring) model. This is based on T-system and Y-system equations, which follow from the Bethe Ansatz solution in the light-cone…

High Energy Physics - Theory · Physics 2008-11-26 J. Balog , A. Hegedus

We analyze the evolution of the particle spectrum of the Tricritical Ising Model by varying the couplings of the energy and vacancy density fields. The particle content changes from the spectrum of a supersymmetric theory (either of an…

High Energy Physics - Theory · Physics 2008-11-26 Luca Lepori , Giuseppe Mussardo , Gabor Zs. Toth

Using the planar Temperley-Lieb algebra, critical bond percolation on the square lattice is incorporated as ${\cal LM}(2,3)$ in the family of Yang-Baxter integrable logarithmic minimal models ${\cal LM}(p,p')$. We consider this model in the…

Statistical Mechanics · Physics 2017-09-13 Alexi Morin-Duchesne , Andreas Klümper , Paul A. Pearce

The quantum tricriticality of d-dimensional transverse Ising-like systems is studied by means of a perturbative renormalization group approach focusing on static susceptibility. This allows us to obtain the phase diagram for 3<d<4, with a…

Statistical Mechanics · Physics 2012-03-22 M. T. Mercaldo , I. Rabuffo , A. Naddeo , A. Caramico D'Auria , L. De Cesare

We examine some excited state energies in the non-unitary integrable quantum field theory obtained from the perturbation of the minimal conformal field theory model $M_{3,5}$ by its operator $\phi_{2,1}$. Using the correspondence of this…

High Energy Physics - Theory · Physics 2011-02-11 R. M. Ellem , V. V. Bazhanov

We report on numerical simulations of the two-dimensional spin-$1$ Blume-Capel ferromagnet embedded in a triangular lattice. Utilizing a range of Monte Carlo and finite-size scaling techniques, we explore several critical aspects along the…

Statistical Mechanics · Physics 2025-02-28 Dimitrios Mataragkas , Alexandros Vasilopoulos , Nikolaos G. Fytas , Dong-Hee Kim

We consider the field theory describing the scaling limit of the Potts quantum spin chain using a combination of two approaches. The first is the renormalized truncated conformal space approach (TCSA), while the second one is a new…

High Energy Physics - Theory · Physics 2014-09-11 M. Lencses , G. Takacs

We address two central open problems in the theory of anomalous Mpemba-like relaxations: their extension beyond one spatial dimension and their consistent formulation in the thermodynamic limit. Our framework is the antiferromagnetic Ising…

Statistical Mechanics · Physics 2026-03-13 Emilio Pomares , Víctor Martín-Mayor , Antonio Lasanta , Gabriel Álvarez