Codebase release 0.7 for TNRKit.jl
Abstract
We present TNRKit.jl, an open-source Julia package for Tensor Network Renormalization (TNR) of two- and three-dimensional classical statistical models and Euclidean lattice field theories. Built on top of TensorKit.jl, it provides a symmetry-aware framework for constructing tensor-network representations of partition functions and coarse-graining them using methods such as TRG, HOTRG, and LoopTNR. Beyond thermodynamic quantities, the package enables the extraction of universal conformal data – including scaling dimensions and the central charge – directly from fixed-point tensors. TNRKit.jl is designed with both usability and extensibility in mind, offering a practical platform for applying, benchmarking, and developing modern tensor renormalization algorithms. This paper also serves as a self-contained introduction to the TNR framework.
Fields of Study & Subjects
Quantum many-body systems
Tensor decomposition and applications
Machine Learning in Materials Science
Publication details
- Journal / source
- SciPost Physics Codebases
- Publisher
- Stichting SciPost
- Publication date
- 7 July 2026
- Language
- EN