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Conformal Quantum Field Theory
In this chapter, a non-perturbative definition of quantum field theory in Minkowski space-time is given starting from the Wightman axioms. The...
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Conformal field theory with composite defect
We explore higher-dimensional conformal field theories (CFTs) in the presence of a conformal defect that itself hosts another sub-dimensional defect....
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Solving conformal defects in 3D conformal field theory using fuzzy sphere regularization
Defects in conformal field theory (CFT) are of significant theoretical and experimental importance. The presence of defects theoretically enriches...
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Boundary Liouville conformal field theory in four dimensions
Higher dimensional Euclidean Liouville conformal field theories (LCFTs) consist of a log-correlated real scalar field with a background charge and an...
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Convergence in Conformal Field Theory
Convergence and analytic extension are of fundamental importance in the mathematical construction and study of conformal field theory. The author...
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Line Defects in Conformal Field Theory From Weak to Strong Coupling
This book investigates conformal line defects in both the weak- and strong-coupling regimes. Conformal field theory finds applications across diverse...
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Conformal Field Theory for Particle Physicists From QFT Axioms to the Modern Conformal Bootstrap
This book is a set of introductory lecture notes on Conformal Field Theory (CFT). Unlike most existing reviews on the subject, CFT is presented here...
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Bulk Landau pole and unitarity of dual conformal field theory
The singlet sector of the O ( N ) ϕ 4 -model in AdS 4 at large- N , gives rise to a dual conformal field theory on the conformal boundary of AdS 4 , which is a...
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Fusion and Positivity in Chiral Conformal Field Theory
In this article we show that the conformal nets corresponding to WZW models are rational, resolving a long-standing open problem. Specifically, we...
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Symmetry-resolved entanglement entropy, spectra & boundary conformal field theory
We perform a comprehensive analysis of the symmetry-resolved (SR) entanglement entropy (EE) for one single interval in the ground state of a 1 + 1D...
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Conformal multi-Regge theory
We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some...
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Intrinsic approach to 1 + 1D Carrollian Conformal Field Theory
The 3D Bondi-Metzner-Sachs (BMS 3 ) algebra that is the asymptotic symmetry algebra at null infinity of the 1 + 2D asymptotically flat space-time is...
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Elements of celestial conformal field theory
In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional...
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Minimally extended current algebras of toroidal conformal field theories
It is well-known that families of two-dimensional toroidal conformal field theories possess a dense subset of rational toroidal conformal field...
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Modular conjugations in 2D conformal field theory and holographic bit threads
We study the geometric action of some modular conjugations in two dimensional (2D) conformal field theories. We investigate the bipartition given by...
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Conformal field theory for annulus SLE: partition functions and martingale-observables
We implement a version of conformal field theory in a doubly connected domain with numerous conformal types to connect it to the theory of annulus...
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Fermions in boundary conformal field theory: crossing symmetry and E-expansion
We use the equations of motion in combination with crossing symmetry to constrain the properties of interacting fermionic boundary conformal field...
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Conformal Field Theory from Lattice Fermions
We provide a rigorous lattice approximation of conformal field theories given in terms of lattice fermions in 1+1-dimensions, focussing on free...
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The epsilon expansion of the O(N) model with line defect from conformal field theory
We employ the axiomatic framework of Rychkov and Tan to investigate the critical O( N ) vector model with a line defect in (4 − ϵ ) dimensions. We...
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Complexity of warped conformal field theory
Warped conformal field theories in two dimensions are exotic nonlocal, Lorentz violating field theories characterized by Virasoro–Kac–Moody...