Proceedings of the International Conference on Knots, Quivers and Beyond (ICKQB 2025)

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Analyzing Reduced Density Matrices in SU(2) Chern-Simons Theory

Authors
Atesh Saini1, Siddharth Dwivedi1, *
1Department of Physics, Central University of Rajasthan, Ajmer, 305817, India
*Corresponding author. Email: siddharth.dwivedi@curaj.ac.in
Corresponding Author
Siddharth Dwivedi
Available Online 17 July 2025.
DOI
10.2991/978-94-6463-789-2_6How to use a DOI?
Keywords
Chern-Simons theory; Topological quantum field theory
Abstract

We investigate the reduced density matrices obtained for the quantum states in the context of 3d Chern-Simons theory with gauge group SU(2) and Chern-Simons level k. We focus on the quantum states associated with the Tp,p torus link complements, which is a p-party pure quantum state. The reduced density matrices are obtained by taking the (1|p − 1) bi-partition of the total system. We show that the characteristic polynomials of these reduced density matrices are monic polynomials with rational coefficients.

Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the International Conference on Knots, Quivers and Beyond (ICKQB 2025)
Series
Advances in Physics Research
Publication Date
17 July 2025
ISBN
978-94-6463-789-2
ISSN
2352-541X
DOI
10.2991/978-94-6463-789-2_6How to use a DOI?
Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Atesh Saini
AU  - Siddharth Dwivedi
PY  - 2025
DA  - 2025/07/17
TI  - Analyzing Reduced Density Matrices in SU(2) Chern-Simons Theory
BT  - Proceedings of the International Conference on Knots, Quivers and Beyond (ICKQB 2025)
PB  - Atlantis Press
SP  - 65
EP  - 77
SN  - 2352-541X
UR  - https://doi.org/10.2991/978-94-6463-789-2_6
DO  - 10.2991/978-94-6463-789-2_6
ID  - Saini2025
ER  -