Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 07/2012, Volume 45, Issue 26, pp. 265001 - 12

In two-dimensional statistical models possessing a discretely holomorphic parafermion, we introduce a modified discrete Cauchy-Riemann equation on the boundary...

STAR-TRIANGLE RELATIONS | COULOMB GAS | MODELS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | LATTICE | Statistical analysis | Mathematical analysis | Boundary conditions | Mathematical models | Boundaries | Economic conditions | Two dimensional | Zinc | Cauchy-Riemann equations

STAR-TRIANGLE RELATIONS | COULOMB GAS | MODELS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | LATTICE | Statistical analysis | Mathematical analysis | Boundary conditions | Mathematical models | Boundaries | Economic conditions | Two dimensional | Zinc | Cauchy-Riemann equations

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2013, Volume 46, Issue 41, p. 415401

Journal Article

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 01/2020, Volume 53, Issue 1, p. 15203

In generic conformal field theories with W-3 symmetry, we identify a primary field with rational Kac indices, which produces the full charged and neutral...

conformal field theory | W-algebra | MODELS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | conformal bootstrap

conformal field theory | W-algebra | MODELS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | conformal bootstrap

Journal Article

Physical Review Letters, ISSN 0031-9007, 03/2016, Volume 116, Issue 13

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2017, Volume 50, Issue 16, p. 164003

We construct quasi-local conserved currents in the six-vertex model with anisotropy parameter eta by making use of the quantum-group approach of Bernard and...

exactly solvable lattice models | Interaction-Round-a-Face models | quantum groups | discrete holomorphicity | CHIRAL POTTS-MODEL | COULOMB GAS | PHYSICS, MULTIDISCIPLINARY | QUANTUM-FIELD THEORY | 8-VERTEX MODEL | OPERATOR CONTENT | PHYSICS, MATHEMATICAL | HOLOMORPHIC PARAFERMIONS | CRITICAL EXPONENTS | CONFORMAL-INVARIANCE | LATTICE MODELS | ISING-MODEL

exactly solvable lattice models | Interaction-Round-a-Face models | quantum groups | discrete holomorphicity | CHIRAL POTTS-MODEL | COULOMB GAS | PHYSICS, MULTIDISCIPLINARY | QUANTUM-FIELD THEORY | 8-VERTEX MODEL | OPERATOR CONTENT | PHYSICS, MATHEMATICAL | HOLOMORPHIC PARAFERMIONS | CRITICAL EXPONENTS | CONFORMAL-INVARIANCE | LATTICE MODELS | ISING-MODEL

Journal Article

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 05/2019, Volume 52, Issue 20, p. 205003

The fully-packed loop model on the honeycomb lattice is a critical model of non-intersecting polygons covering the full lattice, and was introduced by...

loop models | non rational CFT | PHYSICS, MULTIDISCIPLINARY | Liouville field theory | Coulomb-gas | CRITICAL-BEHAVIOR | PHYSICS, MATHEMATICAL

loop models | non rational CFT | PHYSICS, MULTIDISCIPLINARY | Liouville field theory | Coulomb-gas | CRITICAL-BEHAVIOR | PHYSICS, MATHEMATICAL

Journal Article

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 03/2019, Volume 52, Issue 10, p. 105201

We consider the two-dimensional sl(n) quantum Toda field theory with an imaginary background charge. This conformal field theory has a higher spin symmetry...

MODELS | PHYSICS, MULTIDISCIPLINARY | conformal field theory | Wn symmetry | bootstrap | PHYSICS, MATHEMATICAL | non-scalar | Toda

MODELS | PHYSICS, MULTIDISCIPLINARY | conformal field theory | Wn symmetry | bootstrap | PHYSICS, MATHEMATICAL | non-scalar | Toda

Journal Article

Physical Review Letters, ISSN 0031-9007, 03/2016, Volume 116, Issue 13, p. 130601

The possibility of extending the Liouville conformal field theory from values of the central charge c >= 25 to c <= 1 has been debated for many years in...

EXPONENTS | MODELS | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | POINT | GRAVITY | COMPACT POLYMERS | Operators (mathematics) | Algebra | Condensed matter physics | Algorithms | Mathematical analysis | Lattices | Field theory | Mathematical models | Condensed Matter | Physics | Statistical Mechanics

EXPONENTS | MODELS | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | POINT | GRAVITY | COMPACT POLYMERS | Operators (mathematics) | Algebra | Condensed matter physics | Algorithms | Mathematical analysis | Lattices | Field theory | Mathematical models | Condensed Matter | Physics | Statistical Mechanics

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 07/2015, Volume 48, Issue 29, pp. 294001 - 24

We construct lattice parafermions for the Z(N) chiral Potts model in terms of quasi-local currents of the underlying quantum group. We show that the...

exactly solvable lattice models | parafermions | chiral Potts model | quantum groups | discrete holomorphicity | PHYSICS, MULTIDISCIPLINARY | COMMUTING TRANSFER-MATRICES | FIELD-THEORY | PHYSICS, MATHEMATICAL | STAR-TRIANGLE RELATIONS | CONFORMAL-INVARIANCE | CYCLIC REPRESENTATIONS | EXCITATION SPECTRUM | Construction | Deformation | Mathematical analysis | Lattices | Conservation | Ising model | Field theory | Mathematical models | Physics

exactly solvable lattice models | parafermions | chiral Potts model | quantum groups | discrete holomorphicity | PHYSICS, MULTIDISCIPLINARY | COMMUTING TRANSFER-MATRICES | FIELD-THEORY | PHYSICS, MATHEMATICAL | STAR-TRIANGLE RELATIONS | CONFORMAL-INVARIANCE | CYCLIC REPRESENTATIONS | EXCITATION SPECTRUM | Construction | Deformation | Mathematical analysis | Lattices | Conservation | Ising model | Field theory | Mathematical models | Physics

Journal Article

Modern Physics Letters B, ISSN 0217-9849, 02/2011, Volume 25, Issue 5, pp. 291 - 313

We review the exact results on the various critical regimes of the antiferromagnetic Q-state Potts model. We focus on the Bethe Ansatz approach for generic Q,...

Bethe ansatz | conformal field theory | Potts model | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | GROUND-STATE | QUANTUM GROUPS | 1-DIMENSIONAL CHAIN | NEAREST-NEIGHBOR INTERACTION | SPIN-SPIN INTERACTIONS | PHYSICS, MATHEMATICAL | TRANSITION | LINEAR CHAIN | SYSTEMS | POINTS | LATTICE

Bethe ansatz | conformal field theory | Potts model | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | GROUND-STATE | QUANTUM GROUPS | 1-DIMENSIONAL CHAIN | NEAREST-NEIGHBOR INTERACTION | SPIN-SPIN INTERACTIONS | PHYSICS, MATHEMATICAL | TRANSITION | LINEAR CHAIN | SYSTEMS | POINTS | LATTICE

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2013, Volume 46, Issue 41, pp. 1 - 31

It was previously established that the critical staggered XXZ spin chain provides a lattice regularization of the black hole conformal field theory (CFT). We...

6-VERTEX | CONFORMAL FIELD-THEORY | UNIFIED APPROACH | PHYSICS, MULTIDISCIPLINARY | QUANTUM S-MATRIX | DEFORMATIONS | SINE | SPECTRUM | PHYSICS, MATHEMATICAL | THERMODYNAMIC BETHE-ANSATZ | SCALING FUNCTIONS | EXCITED-STATES | Kernels | Perturbation methods | Integral equations | Lattices | Continuums | Chains | Black holes (astronomy) | Nonlinearity | Mathematical models | Regularization

6-VERTEX | CONFORMAL FIELD-THEORY | UNIFIED APPROACH | PHYSICS, MULTIDISCIPLINARY | QUANTUM S-MATRIX | DEFORMATIONS | SINE | SPECTRUM | PHYSICS, MATHEMATICAL | THERMODYNAMIC BETHE-ANSATZ | SCALING FUNCTIONS | EXCITED-STATES | Kernels | Perturbation methods | Integral equations | Lattices | Continuums | Chains | Black holes (astronomy) | Nonlinearity | Mathematical models | Regularization

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2016, Volume 49, Issue 50, p. 505202

The fully packed loop (FPL) model is a statistical model related to the integrable U-q((sl) over cap (3)) vertex model. In this paper we study the continuum...

loop models | conformal field theory | W-algebra | integrable lattice models | EXPONENTS | COULOMB GAS | PHYSICS, MULTIDISCIPLINARY | CLASSIFICATION | INVARIANT PARTITION-FUNCTIONS | PHYSICS, MATHEMATICAL | TORUS | SOLVABLE LATTICE MODELS | 2 DIMENSIONS | Physics

loop models | conformal field theory | W-algebra | integrable lattice models | EXPONENTS | COULOMB GAS | PHYSICS, MULTIDISCIPLINARY | CLASSIFICATION | INVARIANT PARTITION-FUNCTIONS | PHYSICS, MATHEMATICAL | TORUS | SOLVABLE LATTICE MODELS | 2 DIMENSIONS | Physics

Journal Article

Physical Review Letters, ISSN 0031-9007, 02/2012, Volume 108, Issue 8

Journal Article

Physical Review Letters, ISSN 0031-9007, 02/2012, Volume 108, Issue 8, p. 081601

We introduce a spin chain based on finite-dimensional spin-1/2 SU(2) representations but with a non-Hermitian "Hamiltonian'' and show, using mostly analytical...

SYSTEM | LATTICE POTTS-MODEL | GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | ANTIFERROMAGNETIC TRANSITION | 1-DIMENSIONAL CHAIN | CONTINUUM-LIMIT | HIGH-ENERGY QCD

SYSTEM | LATTICE POTTS-MODEL | GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | ANTIFERROMAGNETIC TRANSITION | 1-DIMENSIONAL CHAIN | CONTINUUM-LIMIT | HIGH-ENERGY QCD

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 03/2009, Volume 42, Issue 10, pp. 102001 - 102001 (11)

We define parafermionic observables in various lattice loop models, including examples where no Kramers-Wannier duality holds. For a particular rhombic...

PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | O(N) MODELS

PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | O(N) MODELS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2008, Volume 789, Issue 3, pp. 483 - 524

The antiferromagnetic critical point of the Potts model on the square lattice was identified by Baxter [R.J. Baxter, Proc. R. Soc. London A 383 (1982) 43] as a...

PHYSICS, PARTICLES & FIELDS

PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 01/2011, Volume 44, Issue 4, pp. 042001 - 11

We find discrete holomorphic parafermions of the Ashkin-Teller model on the critical line, by mapping appropriate interfaces of the model onto the O(n = 1)...

CONFORMAL-INVARIANCE | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | CHARGE | LINE | Insertion | Operators | Mathematical models | Mapping | Boundaries | Mathematical analysis

CONFORMAL-INVARIANCE | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | CHARGE | LINE | Insertion | Operators | Mathematical models | Mapping | Boundaries | Mathematical analysis

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 10/2012, Volume 149, Issue 1, pp. 10 - 36

We obtain an exact finite-size expression for the probability that a percolation hull will touch the boundary, on a strip of finite width. In terms of...

Temperley–Lieb algebra | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Percolation | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Exact correlation functions | SLE | Physics | XXZ model | Temperley-Lieb algebra | CONFORMAL-INVARIANCE | COULOMB GAS | BOUNDARY-CONDITIONS | ISING-MODEL | ALTERNATING-SIGN MATRICES | PHYSICS, MATHEMATICAL | O LOOP MODEL | Magnetization | Analysis

Temperley–Lieb algebra | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Percolation | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Exact correlation functions | SLE | Physics | XXZ model | Temperley-Lieb algebra | CONFORMAL-INVARIANCE | COULOMB GAS | BOUNDARY-CONDITIONS | ISING-MODEL | ALTERNATING-SIGN MATRICES | PHYSICS, MATHEMATICAL | O LOOP MODEL | Magnetization | Analysis

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 2006, Volume 74, Issue 4, p. 041124

We present a detailed study of a model of close-packed dimers on the square lattice with an interaction between nearest-neighbor dimers. The interaction favors...

MONTE-CARLO | STATISTICAL-MECHANICS | CONFORMAL-INVARIANCE | PHYSICS, FLUIDS & PLASMAS | PHASE-TRANSITIONS | PLANE LATTICE | ISING-MODEL | 2-DIMENSIONAL SYSTEMS | FINITE-SIZE | PHYSICS, MATHEMATICAL | TRIANGULAR LATTICE | GROUND-STATES | Condensed Matter | Physics | Statistical Mechanics

MONTE-CARLO | STATISTICAL-MECHANICS | CONFORMAL-INVARIANCE | PHYSICS, FLUIDS & PLASMAS | PHASE-TRANSITIONS | PLANE LATTICE | ISING-MODEL | 2-DIMENSIONAL SYSTEMS | FINITE-SIZE | PHYSICS, MATHEMATICAL | TRIANGULAR LATTICE | GROUND-STATES | Condensed Matter | Physics | Statistical Mechanics

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 07/2009, Volume 42, Issue 29, p. 292002

We study the phase diagram of a quantum chain of spin-1/2 particles whose world lines form a dense loop gas with loop weight n. In addition to the usual...

NEAREST | LANDAU-LEVEL | EXPONENTS | DIMENSIONAL CRITICAL SYSTEMS | PHYSICS, MULTIDISCIPLINARY | BOND GROUND-STATES | MODEL | PHYSICS, MATHEMATICAL

NEAREST | LANDAU-LEVEL | EXPONENTS | DIMENSIONAL CRITICAL SYSTEMS | PHYSICS, MULTIDISCIPLINARY | BOND GROUND-STATES | MODEL | PHYSICS, MATHEMATICAL

Journal Article

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