Correlation functions and the space of local operators in off-critical models and conformal quantum field theories / Sergei Adler. Wuppertal, July 2026
Inhalt
- 1 Introduction
- 2 Quantum groups and L-operators
- 3 Creation and annihilation operators in finite intervals
- 3.1 Twisted transfer matrices
- 3.2 Analytic structure of the twisted transfer matrices
- 3.3 The fermionic basis operators
- 4 Reduction relations and extension to infinite volume
- 5 Commutation relations
- 5.1 Commutation relations between t*(, ) and fermionic operators
- 5.2 Commutation relations between fermionic annihilation operators
- 5.3 Commutation relations between fermionic creation and annihilation operators
- 5.4 Commutation relations between fermionic creation operators
- 6 Correlation functions and fermionic basis
- 6.1 The Matsubara direction and the correlation functions
- 6.2 Correlation functions of the bosonic operator t*(, )
- 6.3 Deformed Abelian integrals
- 6.4 Correlation functions of the fermionic operators
- 7 CFT Limit
- 7.1 The method of non-linear integral equations
- 7.2 Screening operators on the lattice
- 7.3 Scaling limit
- 8 Asymptotic analysis of non-linear integral equations
- 8.1 Particle-hole excitations
- 8.2 Asymptotics of (a`3́9`42`"̇613A``45`47`"603A(sc))
- 8.3 Asymptotic expansion of `3́9`42`"̇613A``45`47`"603A(sc)(, ; , ', ) for ='
- 8.4 Identification of the fermionic basis operators and the Virasoro algebra generators
- 9 Fermionic basis in free fermion conformal field theory
- 9.1 The master function approach
- 9.2 The master function at the free fermion point
- 9.3 Correlation functions in the fermionic basis
- 9.4 Relation between the fermionic basis operators and Virasoro algebra generators
- 9.5 Reflection relations
- 10 Summary and outlook
- A Brief overview of CFT
- B Proof of lemma:JMS-Lemma-poly
- C Correlation function of the fermionic basis operators at the free-fermion point
- Acknowledgements
- Bibliography