PIRSA:16110082

Multi-Boundary Entanglement in Chern-Simons theory & Link Invariants

Parrikar, O. (2016). Multi-Boundary Entanglement in Chern-Simons theory & Link Invariants. Perimeter Institute. https://pirsa.org/16110082

Parrikar, Onkar. Multi-Boundary Entanglement in Chern-Simons theory & Link Invariants. Perimeter Institute, Nov. 29, 2016, https://pirsa.org/16110082 

          @misc{ pirsa_PIRSA:16110082,
            doi = {10.48660/16110082},
            url = {https://pirsa.org/16110082},
            author = {Parrikar, Onkar},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Multi-Boundary Entanglement in Chern-Simons theory \& Link Invariants},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {nov},
            note = {PIRSA:16110082 see, \url{https://pirsa.org}}
          }

Onkar Parrikar University of Pennsylvania

Talk number PIRSA:16110082
DOI 10.48660/16110082
Collection
Talk Type Scientific Series
Subject

Abstract

We will study the entanglement structure of states in Chern-Simons (CS) theory defined on n-copies of a torus. We will focus on states created by performing the path-integral of CS theory on special 3-manifolds, namely link complements of n-component links in S^3. The corresponding entanglement entropies provide new framing independent link-invariants. In U(1)_k CS theory, we will give a general formula for the entanglement entropy across a bi-partition of a generic n-link into sub-links. In the non-Abelian case, we study various interesting 2 & 3-links including the Whitehead link & Borromean rings, both of which have non-trivial entanglement entropies.