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This is an expanded version of a talk given at ``{\em IInd Recontre du Vietnam}'' held at Ho Chi Minh City in October, 1995. We discuss several aspects of black hole entropy in string theory. We first explain why the geometric entropy in…

High Energy Physics - Theory · Physics 2008-02-03 Sumit R. Das

String theory on D-brane backgrounds is open-closed string theory. Given the relevance of this fact, we give details and elaborate upon our earlier construction of oriented open-closed string field theory. In order to incorporate explicitly…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

Introduction of electric field in the D-brane worldvolume induces a horizon in the open string geometry perceived by the brane fluctuations. We study the holographic entanglement entropy (HEE) and subregion complexity (HSC) in these…

High Energy Physics - Theory · Physics 2021-08-05 Avik Banerjee , Aranya Bhattacharya , Sabyasachi Maulik

We study target space entanglement in gauged multi-matrix models as models of entanglement between groups of D-branes separated by a planar entangling surface, paying close attention to the implementation of gauge invariance. We open with a…

High Energy Physics - Theory · Physics 2021-11-17 Harsha R. Hampapura , Jonathan Harper , Albion Lawrence

We discuss quantum entanglement between fast and slow degrees of freedom, in a two dimensional (2D) large $N_c$ gauge theory with Dirac quarks, quantized on the light front. Using the 't Hooft wave functions, we construct the reduced…

High Energy Physics - Phenomenology · Physics 2022-06-29 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

We report on the recent progress in theoretical and numerical studies of entanglement entropy in lattice gauge theories. It is shown that the concept of quantum entanglement between gauge fields in two complementary regions of space can…

High Energy Physics - Lattice · Physics 2009-09-29 P. V. Buividovich , M. I. Polikarpov

String theory and supersymmetry are theoretical ideas that go beyond the standard model of particle physics and show promise for unifying all forces. After a brief introduction to supersymmetry, we discuss the prospects for its experimental…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz , Nathan Seiberg

We compute the entanglement entropy for some quantum field theories on de Sitter space. We consider a superhorizon size spherical surface that divides the spatial slice into two regions, with the field theory in the standard vacuum state.…

High Energy Physics - Theory · Physics 2015-06-11 Juan Maldacena , Guilherme L. Pimentel

Motivated by the Bekenstein Hawking formula and the area law behaviour of entanglement entropy, we propose that in any UV finite theory of quantum gravity with a smooth spacetime, the total entropy for a pure state in a co-dimension one…

High Energy Physics - Theory · Physics 2023-08-29 Sumit R. Das , Anurag Kaushal , Gautam Mandal , Sandip P. Trivedi

We consider entanglement entropy between regions of space in lattice gauge theory. The Hilbert space corresponding to a region of space includes edge states that transform nontrivially under gauge transformations. By decomposing the edge…

High Energy Physics - Theory · Physics 2012-04-27 William Donnelly

The Entanglement contour function quantifies the contribution from each degree of freedom in a region $\mathcal{A}$ to the entanglement entropy $S_{\mathcal{A}}$. Recently in \cite{Wen:2018whg} the author gave two proposals for the…

High Energy Physics - Theory · Physics 2020-05-20 Qiang Wen

We study how entanglement spreads in the boundary duals of finite-cutoff three-dimensional theories with positive, negative and zero cosmological constant, the $T \bar{T} + \Lambda_{2}$ two-dimensional theories. We first study the…

High Energy Physics - Theory · Physics 2023-05-30 Evan Coleman , Ronak M Soni , Sungyeon Yang

We focus on the issue of proper definition of entanglement entropy in lattice gauge theories, and examine a naive definition where gauge invariant states are viewed as elements of an extended Hilbert space which contains gauge non-invariant…

High Energy Physics - Theory · Physics 2015-02-25 Sinya Aoki , Takumi Iritani , Masahiro Nozaki , Tokiro Numasawa , Noburo Shiba , Hal Tasaki

We outline the basic questions that are being studied in the theory of entanglement. Following a brief review of some of the main achievements of entanglement theory for finite-dimensional quantum systems such as qubits, we will consider…

Quantum Physics · Physics 2009-09-29 J. Eisert , M. B. Plenio

Two dimensional gauge theories with charged matter fields are useful toy models for studying gauge theory dynamics, and in particular for studying the duality of large $N$ gauge theories to perturbative string theories. A useful starting…

High Energy Physics - Theory · Physics 2024-07-11 Ofer Aharony , Suman Kundu , Tal Sheaffer

The formalism of matrix product states is used to perform a numerical study of 1+1 dimensional QED -- also known as the (massive) Schwinger model -- in the presence of an external static `quark' and `antiquark'. We obtain a detailed picture…

High Energy Physics - Lattice · Physics 2016-11-30 Boye Buyens , Jutho Haegeman , Henri Verschelde , Frank Verstraete , Karel Van Acoleyen

Entanglement is defined for each vector subspace of the tensor product of two finite-dimensional Hilbert spaces, by applying the notion of operator entanglement to the projection operator onto that subspace. The operator Schmidt…

Quantum Physics · Physics 2009-11-10 A. J. Bracken

The entanglement theory in quantum systems with internal symmetries is rich due to the spontaneous creation of entangled pairs of charge/anti-charge particles at the entangling surface. We call these pair creation operators the bi-local…

High Energy Physics - Theory · Physics 2022-01-31 Keiichiro Furuya , Nima Lashkari , Shoy Ouseph

A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space construction. The result can be expressed as a sum of two terms, a classical term…

High Energy Physics - Theory · Physics 2019-08-15 Upamanyu Moitra , Ronak M Soni , Sandip P. Trivedi

We study the entanglement and Renyi entropies of two disjoint intervals in minimal models of conformal field theory. We use the conformal block expansion and fusion rules of twist fields to define a systematic expansion in the elliptic…

High Energy Physics - Theory · Physics 2015-06-03 M. A. Rajabpour , F. Gliozzi