SMuK 2023 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 10: AdS/CFT Correspondence II
MP 10.4: Talk
Thursday, March 23, 2023, 15:00–15:20, ZEU/0250
On the Boundary Conformal Field Theory Approach to Symmetry-Resolved Entanglement — Giuseppe Di Giulio1,2, René Meyer1,2, Christian Northe3,1,2, •Henri Scheppach1,2, and Suting Zhao1,2 — 1Institute for Theoretical Physics and Astrophysics, Julius Maximilian University Würzburg, Am Hubland, 97074 Würzburg, Germany — 2Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter ct.qmat — 3Department of Physics, Ben-Gurion University of the Negev, David Ben Gurion Boulevard 1, Be’er Sheva 84105, Israel
We study the symmetry resolution of the entanglement entropy of an interval in two-dimensional conformal field theories (CFTs), by studying the decomposition of the partition function into charge sectors of the respective symmetry in the presence of boundary conditions at the entangling points. Symmetry resolution provides a more refined entanglement measure and can therefore provide more information about the nature of quantum states in QFT. We demonstrate that the decomposition already provides the symmetry resolution of the entanglement spectrum of the corresponding bipartition. Considering the various terms of the partition function associated with the same charge sector the symmetry-resolved Rényi entropies can be derived to all orders in the UV cutoff expansion without the need to compute the charged moments. We apply this idea to the theory of a free massless boson with U(1), R and Z2 symmetry. We find equipartition in the U(1) and R cases to all orders in the cutoff expansion.