Title: Missing Direct Computation of U_q(sl_5) Level 3 Fibonacci Anyon Fusion Dimension — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The search results are largely tangential — no direct computation of the Fibonacci anyon fusion space dimension for U_q(sl_5) at level 3 is given. The closest mathematical anchor is the abstract anyon condensation paper (arXiv:1307.8244), which treats modular tensor categories abstractly, and the lecture titles on fusion categories of quantum groups, but no explicit dimension or quantum group data is extracted. The Fibonacci/golden ratio video is generic, not tied to anyons.
MATH: No explicit equations or constants for U_q(sl_5) level 3 appear in the provided snippets. However, from standard theory (not in the search results but necessary for precision): For U_q(sl_N) at level k, the fusion category is a modular tensor category with simple objects labelled by Young diagrams in an (N-1)-rowed box of height k. For N=5, k=3, the number of simple objects is the number of partitions fitting in a 4×3 box = C(7,3) = 35. The Fibonacci anyon (τ) arises specifically in U_q(sl_2) at lev
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026title,
title = {{Title: Missing Direct Computation of U_q(sl_5) Level 3 Fibonacci Anyon Fusion Dimension — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635631},
url = {https://zenodo.org/records/23635631},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Title: Missing Direct Computation of U_q(sl_5) Level 3 Fibonacci Anyon Fusion Dimension — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635631
UR - https://zenodo.org/records/23635631
AB - FINDING: The search results are largely tangential — no direct computation of the Fibonacci anyon fusion space dimension for U_q(sl_5) at level 3 is given. The closest mathematical anchor is the abstract anyon condensation paper (arXiv:1307.8244), which treats modular tensor categories abstractly, and the lecture titles on fusion categories of quantum groups, but no explicit dimension or quantum group data is extracted. The Fibonacci/golden ratio video is generic, not tied to anyons. MATH: No explicit equations or constants for U_q(sl_5) level 3 appear in the provided snippets. However, from standard theory (not in the search results but necessary for precision): For U_q(sl_N) at level k, the fusion category is a modular tensor category with simple objects labelled by Young diagrams in an (N-1)-rowed box of height k. For N=5, k=3, the number of simple objects is the number of partitions fitting in a 4×3 box = C(7,3) = 35. The Fibonacci anyon (τ) arises specifically in U_q(sl_2) at lev Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -