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We discuss two measures of entanglement in quantum field theory and their holographic realizations. For field theories admitting a global symmetry, we introduce a global symmetry entanglement entropy, associated with the partitioning of the…

High Energy Physics - Theory · Physics 2016-08-03 Marika Taylor

We study holographic c-theorems based on timelike entanglement entropy and show that a timelike c-function captures irreversible renormalization group (RG) flow. We demonstrate that timelike c-functions are applicable to both relativistic…

High Energy Physics - Theory · Physics 2025-12-19 Dimitrios Giataganas

We study a number of (3+1)- and (2+1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using…

High Energy Physics - Theory · Physics 2015-11-09 John Estes , Kristan Jensen , Andy O'Bannon , Efstratios Tsatis , Timm Wrase

We perform a detailed analysis of holographic entanglement R\'enyi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct perturbative black hole solutions in a recently proposed…

High Energy Physics - Theory · Physics 2017-07-25 Anshuman Dey , Pratim Roy , Tapobrata Sarkar

We compute holographic entanglement entropy (EE) and the renormalized EE in AdS solitons with gauge potential for various dimensions. The renormalized EE is a cutoff-independent universal component of EE. Via Kaluza-Klein compactification…

High Energy Physics - Theory · Physics 2023-09-28 Mitsutoshi Fujita , Song He , Yuan Sun , Jun Zhang

We compute holographic entanglement entropy in two strongly coupled nonlocal field theories: the dipole and the noncommutative deformations of SYM theory. We find that entanglement entropy in the dipole theory follows a volume law for…

High Energy Physics - Theory · Physics 2014-04-15 Joanna L. Karczmarek , Charles Rabideau

The entanglement entropy in a quantum field theory between two regions of space has been shown in simple cases to be proportional to the volume of the hypersurface separating the regions. We prove that this is true for a free scalar field…

High Energy Physics - Theory · Physics 2008-11-26 Micheal S. Berger , Roman V. Buniy

The entanglement spectrum of a bipartite quantum system is given by the distribution of eigenvalues of the modular Hamiltonian. In this work, we compute the entanglement spectrum in the vacuum state for a subregion of a $d$-dimensional…

High Energy Physics - Theory · Physics 2024-11-05 Stefano Baiguera , Shira Chapman , Christian Northe , Giuseppe Policastro , Tal Schwartzman

We investigate the entanglement entropy of a two-dimensional disordered system holographically. In particular, we study the evolution of the entanglement entropy along renormalization group flows for a conformal theory at the UV fixed…

High Energy Physics - Theory · Physics 2019-03-06 Rajesh Narayanan , Chanyong Park , Yun-Long Zhang

We present a holographic method for computing the response of R\'enyi entropies in conformal field theories to small shape deformations around a flat (or spherical) entangling surface. Our strategy employs the stress tensor one-point…

High Energy Physics - Theory · Physics 2017-06-16 Lorenzo Bianchi , Shira Chapman , Xi Dong , Damián A. Galante , Marco Meineri , Robert C. Myers

We present a simple derivation of the entanglement entropy for a region made up of a union of disjoint intervals in 1+1 dimensional quantum field theories using holographic techniques. This generalizes the results for 1+1 dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Veronika E. Hubeny , Mukund Rangamani

Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

High Energy Physics - Theory · Physics 2013-03-29 Thomas Hartman

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

High Energy Physics - Theory · Physics 2011-02-22 Robert C. Myers , Aninda Sinha

We study entanglement entropy for a class of states in quantum field theory that are entangled superpositions of coherent states with well-separated supports, analogous to Einstein-Podolsky-Rosen or Bell states. We calculate the…

High Energy Physics - Theory · Physics 2012-05-28 Curtis T. Asplund

We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its…

High Energy Physics - Theory · Physics 2015-06-17 Chanyong Park

Subdominant contributions to the entanglement entropy of quantum fields include logarithmic corrections to the area law characterized by universal coefficients that are independent of the ultraviolet regulator and capture detailed…

High Energy Physics - Theory · Physics 2021-12-28 Rodolfo Soldati , L. S. Menicucci , N. Yokomizo

We give a prescription for calculating the holographic Weyl anomaly in arbitrary dimension within the framework based on the Hamilton-Jacobi equation proposed by de Boer, Verlinde and Verlinde. A few sample calculations are made and shown…

High Energy Physics - Theory · Physics 2009-10-31 Masafumi Fukuma , So Matsuura , Tadakatsu Sakai

We study holographic entanglement entropy of non-local field theories both at extremality and finite temperature. The gravity duals, constructed in arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero temperature…

High Energy Physics - Theory · Physics 2014-06-18 Da-Wei Pang

We study entanglement entropy in gravity theory with quantum effects. A simplest model is a two dimensional Einstein-Hilbert action . We use an $n$-sheet manifold to obtain an area term of entanglement entropy by summing over all background…

High Energy Physics - Theory · Physics 2017-09-12 Chen-Te Ma

We study the holographic entanglement entropy in a (d+1)-dimensional boundary quantum field theory at both the zero and finite temperature. The phase diagrams for the holographic entanglement entropy at various temperatures are obtained by…

High Energy Physics - Theory · Physics 2018-11-28 En-Jui Chang , Chia-Jui Chou , Yi Yang