Hidden Grassmann Structure in the XXZ Model IV: CFT limit

Abstract

The Grassmann structure of the critical XXZ spin chain is studied in the limit to conformal field theory. A new description of Virasoro Verma modules is proposed in terms of Zamolodchikov's integrals of motion and two families of fermionic creation operators. The exact relation to the usual Virasoro description is found up to level 6.

44 pages, 1 figure. Version 3: some corrections are done

References in corpus (3)

• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Hidden Grassmann structure in the XXZ model
• Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction

Cited by in corpus (37)

• On space of integrable quantum field theories
• Form factor approach to the asymptotic behavior of correlation functions in critical models
• Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
• On one-point functions for sinh-Gordon model at finite temperature
• Hidden Grassmann structure in the XXZ model V: sine-Gordon model
• Thermal form factors of the XXZ chain and the large-distance asymptotics of its temperature dependent correlation functions
• Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
• On spectrum of ILW hierarchy in conformal field theory
• Fermionic structure in the sine-Gordon model: form factors and null-vectors
• On sinh-Gordon Thermodynamic Bethe Ansatz and fermionic basis
• Universal R-matrix and functional relations
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
• On the form factors of local operators in the lattice sine-Gordon model
• Quantum groups and functional relations for higher rank
• Finite temperature correlation functions from discrete functional equations
• Diagonal finite volume matrix elements in the sinh-Gordon model
• Quantum transfer-matrices for the sausage model
• Fermionic screening operators in the sine-Gordon model
• New exact results on density matrix for XXX spin chain
• Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States
• Correlation functions of integrable $O(n)$ spin chains
• Statistical mechanics of integrable quantum spin systems
• Reflection relations and fermionic basis
• Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
• Quantum groups, Verma modules and $q$-oscillators: General linear case
• Exact finite volume expectation values of $\bar{\Psi }\Psi$ in the Massive Thirring model from light-cone lattice correlators
• Suzuki equations and integrals of motion for supersymmetric CFT
• Creation operators for the Fateev-Zamolodchikov spin chain
• One point functions of fermionic operators in the Super Sine Gordon model
• Khoroshkin-Tolstoy approach for quantum superalgebras
• OPE coefficients and the mass-gap from the integrable scattering description of 2D CFT's
• Properties of linear integral equations related to the six-vertex model with disorder parameter II
• Managing Singular Kernels and Logarithmic Corrections in the Staggered Six-Vertex Model
• Semiclassical approach to form factors in the sinh-Gordon model
• Baxter Q- operator and functional relations
• Quantum affine algebras and universal functional relations
• Fourth-neighbour two-point functions of the XXZ chain and the Fermionic basis approach