What is the primary use of the Yang-Baxter Integrability skill?

It provides the mathematical tools to verify R-matrices and compute partition functions for quantum integrable systems, ensuring invariance under vertex crossings.

Does it support colored vertex models?

Yes, the skill includes support for colored stochastic six-vertex models and manages height function projections and Gibbs properties.

What is the 'Fusion Procedure' mentioned in the features?

Fusion is a method used to derive new solutions to the Yang-Baxter equation for higher-dimensional representations from simpler, fundamental R-matrices.

How does it handle R-matrix verification?

It provides automated functions to check the algebraic braid relation (R12 R13 R23 = R23 R13 R12) for any given set of weights or spectral parameters.

Yang-Baxter Integrability

Name: Yang-Baxter Integrability
Author: plurigrid

byplurigrid

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数据科学与机器学习

Implements Yang-Baxter equation calculus for quantum integrable systems, R-matrix verification, and vertex model weight computation.

The Yang-Baxter Integrability skill provides a specialized framework for working with quantum integrable systems and statistical mechanics. It enables Claude to compute and verify R-matrices, perform fusion procedures to derive complex vertex weights, and analyze partition function invariance under vertex crossings. Designed for researchers and developers in mathematical physics, it supports stochastic six-vertex models, cuboson weights, and quantum group representations, providing structural validation for high-level topological and algebraic computations.

主要功能

01R-Matrix calculus and automated YBE verification

02Fusion procedure for deriving multi-arrow vertex solutions

03Support for stochastic six-vertex and cuboson models

04Partition function computation via transfer matrices

05Integration with quantum groups like Uq(sl2)

068 GitHub stars

使用场景

01Verifying mathematical consistency in quantum integrable models

02Modeling stochastic growth processes via vertex model height functions

03Researching combinatorial invariants in statistical mechanics and knot theory

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi yang-baxter-integrability

For use in Claude.ai and ChatGPT

Download Skill