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In the spirit of the generalized holographic conjecture, we explore a relationship between the bulk and boundary properties of non-interacting massive Dirac fermions living on a flexible surface, such as a sheet of graphene. We demonstrate…

Strongly Correlated Electrons · Physics 2015-06-16 D. V. Khveshchenko

Scalar QFT on the boundary $\Im^+$ at null infinity of a general asymptotically flat 4D spacetime is constructed using the algebraic approach based on Weyl algebra associated to a BMS-invariant symplectic form. The constructed theory is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Dappiaggi , V. Moretti , N. Pinamonti

One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which…

High Energy Physics - Theory · Physics 2017-07-05 Matthew Heydeman , Matilde Marcolli , Ingmar Saberi , Bogdan Stoica

In this paper, we study the holographic quantum error correcting code properties in different boundary fractal-like structures. We construct and explore different examples of the uberholographic bulk reconstruction corresponding to these…

High Energy Physics - Theory · Physics 2023-08-02 Dmitry S. Ageev

Quantum Field Theory (QFT) is the basis of some of the most fundamental theories in modern physics, but it is not an easy subject to learn. In the present article we intend to pave the way from quantum mechanics to QFT for students at early…

Quantum Physics · Physics 2021-11-12 Helmut Linde

Generally, quantum field theories can be thought as deformations away from conformal field theories. In this article, with a simple bottom up model assumed to possess a holographic description, we study a putative large N quantum field…

High Energy Physics - Theory · Physics 2018-08-01 Avik Banerjee , Arnab Kundu , Augniva Ray

We show how continuous matrix product states of quantum field theories can be described in terms of the dissipative non-equilibrium dynamics of a lower-dimensional auxiliary boundary field theory. We demonstrate that the spatial correlation…

Quantum Physics · Physics 2011-01-06 Tobias J. Osborne , Jens Eisert , Frank Verstraete

We study bulk locality in a scalar effective field theory (EFT) in AdS background in presence of an end-of-the-world (EOW) brane. The holographic dual description is given in terms of a boundary conformal field theory (BCFT). We compute the…

High Energy Physics - Theory · Physics 2026-05-19 Pinaki Banerjee , Parijat Dey , Dipyendu Dhar

The quantum Fourier transform (QFT), a quantum analog of the classical Fourier transform, has been shown to be a powerful tool in developing quantum algorithms. However, in classical computing there is another class of unitary transforms,…

Quantum Physics · Physics 2007-05-23 Amir Fijany , Colin P. Williams

We present a rigorous and functorial quantization scheme for linear fermionic and bosonic field theory targeting the topological quantum field theory (TQFT) that is part of the general boundary formulation (GBF). Motivated by geometric…

Mathematical Physics · Physics 2013-04-08 Robert Oeckl

The $(D+1)$-dimensional symmetry topological field theory (SymTFT$_{D+1}$) of a $D$-dimensional absolute quantum field theory (QFT$_D$) provides a topological characterization of symmetry data. In this framework, the SymTFT comes equipped…

High Energy Physics - Theory · Physics 2026-04-22 Oren Bergman , Jonathan J. Heckman , Max Hübner , Daniele Migliorati , Xingyang Yu , Hao Y. Zhang

The issue of holographic mapping between bulk and boundary in the plane-wave limit of AdS/SYM correspondence is reexamined from the viewpoint of correlation functions. We first study the limit of large angular momentum for the so-called…

High Energy Physics - Theory · Physics 2016-09-06 S. Dobashi , T. Yoneya

We use the relation between certain diffeomorphisms in the bulk and Weyl transformations on the boundary to build the conformal structure of the metric in the presence of matter in the bulk. We explicitly obtain the conformal anomaly in any…

High Energy Physics - Theory · Physics 2013-10-23 Mozhgan Mir

We explain that a bulk with arbitrary dimensions can be added to the space over which a quantum field theory is defined. This gives a TQFT such that its correlation functions in a slice are the same as those of the original quantum field…

High Energy Physics - Theory · Physics 2016-09-06 Laurent Baulieu

We show that there is a sector of quantum general relativity which may be expressed in a completely holographic formulation in terms of states and operators defined on a finite boundary. The space of boundary states is built out of the…

High Energy Physics - Theory · Physics 2009-10-31 Lee Smolin

Holographic quantum error-correcting codes, often realized through tensor network architectures, have emerged as compelling toy models for exploring bulk-boundary duality in AdS-CFT. By encoding bulk information into highly entangled…

High Energy Physics - Theory · Physics 2025-06-10 Wanli Cheng

We use holography to examine the response of interacting quantum fields to the appearance of closed timelike curves in a dynamically evolving background that initially does not contain them. For this purpose, we study a family of…

High Energy Physics - Theory · Physics 2022-04-05 Roberto Emparan , Marija Tomašević

We develop a general framework for the quantization of bosonic and fermionic field theories on affine bundles over arbitrary globally hyperbolic spacetimes. All concepts and results are formulated using the language of category theory,…

Mathematical Physics · Physics 2014-01-13 Marco Benini , Claudio Dappiaggi , Alexander Schenkel

In this paper, we propose an {\it exact holographic mapping} which is a unitary mapping from the Hilbert space of a lattice system in flat space (boundary) to that of another lattice system in one higher dimension (bulk). By defining the…

High Energy Physics - Theory · Physics 2013-09-25 Xiao-Liang Qi

The Quantum renormalization group (QRG) is a realisation of holography through a coarse graining prescription that maps the beta functions of a quantum field theory thought to live on the `boundary' of some space to holographic actions in…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Vasudev Shyam