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11 papers
Tensor Renormalization Group Meets Computer Assistance
Nikolay Ebel, Tom Kennedy, Slava Rychkov
Tensor renormalization group, originally devised as a numerical technique, is emerging as a rigorous analytical framework for studying lattice models in statistical physics. Here w…
Conformal Data for the Wilson-Fisher CFT in -Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere
Arjun Dey, Loic Herviou, Christopher Mudry +3
We study at zero temperature a microscopic quantum spin-1 model on the fuzzy sphere that realizes the Wilson-Fisher conformal field theory (CFT) in -dimensional space…
Disturbing news about the expansion II. Assessing the recombination scenario
Fabiana De Cesare, Slava Rychkov
In [De Cesare, Rychkov (2025)], we revisited the expansion in the Non-Linear Sigma Model (NLSM), emphasizing the existence of a protected operator which is a closed…
Exact Diagonalization, Matrix Product States and Conformal Perturbation Theory Study of a 3D Ising Fuzzy Sphere Model
Andreas M. Läuchli, Loïc Herviou, Patrick H. Wilhelm +1
Numerical studies of phase transitions in statistical and quantum lattice models provide crucial insights into the corresponding Conformal Field Theories (CFTs). In higher dimensio…
Conformal bootstrap: from Polyakov to our times
Slava Rychkov
We trace the history of conformal bootstrap from its early days to our times - a great example of unity of physics. We start by describing little-known details about the origins of…
Transfer Matrix and Lattice Dilatation Operator for High-Quality Fixed Points in Tensor Network Renormalization Group
Nikolay Ebel, Tom Kennedy, Slava Rychkov
Tensor network renormalization group maps study critical points of 2d lattice models like the Ising model by finding the fixed point of the RG map. In a prior work arXiv:2408.10312…