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We consider the entanglement entropy for a spacetime region and its spacelike complement in the framework of algebraic quantum field theory. For a M\"obius covariant local net satisfying a certain nuclearity property, we consider the von…

Mathematical Physics · Physics 2018-07-04 Yul Otani , Yoh Tanimoto

We study the single interval entanglement and relative entropies of conformal descendants in 2d CFT. Descendants contain non-trivial entanglement, though the entanglement entropy of the canonical primary in the free boson CFT contains no…

High Energy Physics - Theory · Physics 2022-02-23 Barsha G. Chowdhury , Justin R. David

We consider entanglement entropy of a cap-like region for a conformal field theory living on a sphere times a circle in d space-time dimensions. Assuming that the finite size of the system introduces a unique ground state with a nonzero…

High Energy Physics - Theory · Physics 2015-06-22 Christopher P. Herzog

We present a method for computing the topological entropy of one-dimensional maps. As an approximation scheme, the algorithm converges rapidly and provides both upper and lower bounds.

chao-dyn · Physics 2009-10-22 N. J. Balmforth , E. A. Spiegel , C. Tresser

We compute the entanglement entropy in a two dimensional conformal field theory at finite size and finite temperature in the large central charge limit via the replica trick. We first generalize the known monodromy method for the…

High Energy Physics - Theory · Physics 2024-10-30 Marius Gerbershagen

We calculate the topological entanglement entropy in bilayer quantum Hall systems, dividing the set of quantum numbers into four parts. This topological entanglement entropy allows us to draw a phase diagram in the parameter space of layer…

Strongly Correlated Electrons · Physics 2015-06-16 Myung-Hoon Chung

Three-dimensional conformal field theories (CFTs) of deconfined gauge fields coupled to gapless flavors of fermionic and bosonic matter describe quantum critical points of condensed matter systems in two spatial dimensions. An important…

High Energy Physics - Theory · Physics 2012-05-15 Igor R. Klebanov , Silviu S. Pufu , Subir Sachdev , Benjamin R. Safdi

Entanglement entropies have revealed, in the last years, to be a powerful tool to extract information about the physics of condensed-matter systems. In the first part of this thesis, we show how to extract essential details about the…

Strongly Correlated Electrons · Physics 2013-09-17 Luca Taddia

We study the entanglement structure of Abelian topological order described by $p$-form BF theory in arbitrary dimensions. We do so directly in the low-energy topological quantum field theory by considering the algebra of topological surface…

High Energy Physics - Theory · Physics 2024-10-17 Jackson R. Fliss , Stathis Vitouladitis

Using Rindler method we derive the logarithmic correction to the entanglement entropy of a two dimensional BMS-invariant field theory (BMSFT). In particular, we present a general formula for extraction of the logarithmic corrections to both…

High Energy Physics - Theory · Physics 2018-04-10 Reza Fareghbal , Pedram Karimi

When an interface connects two CFTs, the entanglement entropy between the two CFTs is determined by a quantity called the effective central charge. The effective central charge does not have a simple form in terms of the central charges of…

High Energy Physics - Theory · Physics 2023-12-20 Andreas Karch , Yuya Kusuki , Hirosi Ooguri , Hao-Yu Sun , Mianqi Wang

We compute R\'enyi entropies for a spherical entangling surface in four-dimensional N=4 super-Yang-Mills at strong coupling using the AdS/CFT correspondence. Incorporating the effects of the leading \alpha' corrections to the low energy…

High Energy Physics - Theory · Physics 2015-06-16 Damian A. Galante , Robert C. Myers

We compute the entanglement entropy of the Wilson-Fisher conformal field theory (CFT) in 2+1 dimensions with O($N$) symmetry in the limit of large $N$ for general entanglement geometries. We show that the leading large $N$ result can be…

Strongly Correlated Electrons · Physics 2017-02-01 Seth Whitsitt , William Witczak-Krempa , Subir Sachdev

We investigate entanglement entropy in $3d$ $\mathcal{N}=2$ superconformal field theories from two different perspectives. We first confirm that the dependence of supersymmetric entanglement entropy (as defined in arXiv:1306.2958) on the…

High Energy Physics - Theory · Physics 2024-10-28 Pedro Vicente Marto , Umut Gürsoy , Guim Planella Planas

For a Lorentzian invariant theory, the entanglement entropy should be a function of the domain of dependence of the subregion under consideration. More precisely, it should be a function of the domain of dependence and the appropriate…

High Energy Physics - Theory · Physics 2024-10-21 Peng-Zhang He , Hai-Qing Zhang

We review some classic works on ground state entanglement entropy in $(1+1)$-dimensional free scalar field theory. We point out identifications between the methods for the calculation of entanglement entropy and we show how the formalism…

High Energy Physics - Theory · Physics 2025-09-03 Dimitrios Katsinis , Georgios Pastras

We study the entanglement entropy as a probe of the proximity effect of a superconducting system by using the gauge/gravity duality in a fully back-reacted gravity system. While the entanglement entropy in the superconducting phase is less…

High Energy Physics - Theory · Physics 2015-06-18 Xiao-Mei Kuang , Eleftherios Papantonopoulos , Bin Wang

Using the subtraction approach, we give the bipartite mixed state entanglement entropy in thermal $\text{CFT}_2$. With these entanglement entropies, we examine in detail the holographic duals of different entangling configurations…

High Energy Physics - Theory · Physics 2025-09-01 Xin Jiang , Haitang Yang , Zilin Zhao

We begin from the quantization algebras and constraint for analyzing the choice of centers in the first-order formulation without losing generality. Then we calculate the entanglement entropy in the non-interacting $p$-form theory in $2p+2$…

High Energy Physics - Theory · Physics 2020-02-20 Xing Huang , Chen-Te Ma

We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of $N$ strands sewn together into "long" strings, with wavefunctions symmetrized under…

High Energy Physics - Theory · Physics 2019-02-20 Vijay Balasubramanian , Ben Craps , Tim De Jonckheere , Gábor Sárosi
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