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The 4D Maxwell theory with single-sided planar boundary is considered. As a consequence of the presence of the boundary, two broken Ward identities are recovered, which, on-shell, give rise to two conserved currents living on the edge. A…

High Energy Physics - Theory · Physics 2020-07-08 Erica Bertolini , Nicola Maggiore

Assuming the existence of a field theory in D dimensions dual to (D+1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review…

High Energy Physics - Theory · Physics 2017-02-01 Arjun Bagchi , Rudranil Basu , Ashish Kakkar , Aditya Mehra

We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one…

High Energy Physics - Theory · Physics 2008-11-26 Erik Verlinde

We propose an explicit realization of flat space holography in two dimensions where both sides of the duality are independently defined and the boundary theory is completely solvable. In the bulk, we define a novel $\mathcal{N}=1$ flat…

High Energy Physics - Theory · Physics 2023-02-22 Felipe Rosso

The Maxwell-BF theory with a single-sided planar boundary is considered in Euclidean four dimensional spacetime. The presence of a boundary breaks the Ward identities which describe the gauge symmetries of the theory, and, using standard…

High Energy Physics - Theory · Physics 2019-07-23 Alberto Blasi , Nicola Maggiore

We review the status of electric/magnetic duality for free gauge field theories in four space-time dimensions with emphasis on Maxwell theory and linearized Einstein gravity. Using the theory of vector and tensor spherical harmonics, we…

High Energy Physics - Theory · Physics 2009-10-15 Ioannis Bakas

We analyse a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N=2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum…

High Energy Physics - Theory · Physics 2020-04-22 Songyuan Li , Jan Troost

We formulate a precise holographic duality between an ensemble of 4d $U(1)^g$ Maxwell theories living on a spin four-manifold $M_4$ and an Abelian BF-type 2-form gauge theory of level $N$, summed over all five-manifolds with boundary $M_4$.…

High Energy Physics - Theory · Physics 2025-10-07 Ahmed Barbar , Anatoly Dymarsky , Alfred Shapere

We study fourfold rotation invariant gapped topological systems with time-reversal symmetry in two and three dimensions ($d=2,3$). We show that in both cases nontrivial topology is manifested by the presence of the $(d-2)$-dimensional edge…

Mesoscale and Nanoscale Physics · Physics 2017-12-19 Zhida Song , Zhong Fang , Chen Fang

We revisit electric and magnetic surface charges and edge modes in four-dimensional Maxwell theory and QED on a spacetime with a finite spatial boundary. Using the S-wall, which implements electromagnetic duality, we clarify the dual…

High Energy Physics - Theory · Physics 2026-05-28 Keito Shimizu , Sotaro Sugishita

We provide a full realization of the electromagnetic duality at the boundary by extending the phase space of Maxwell's theory through the introduction of edge modes and their conjugate momenta. We show how such extension, which follows from…

High Energy Physics - Theory · Physics 2018-12-24 Laurent Freidel , Daniele Pranzetti

Self-duality in Euclidean gravitational set ups is a tool for finding remarkable geometries in four dimensions. From a holographic perspective, self-duality sets an algebraic relationship between two a priori independent boundary data: the…

High Energy Physics - Theory · Physics 2014-06-11 P. Marios Petropoulos

We construct a massive spin-2 theory in 2+1 dimensions that is immune to the bulk-boundary unitarity conflict in anti-de Sitter space and hence amenable to holography. The theory is an extension of Topologically Massive Gravity, just like…

High Energy Physics - Theory · Physics 2015-07-15 Bayram Tekin

We revisit Maxwell theory in 4d with a boundary, with particular attention to the global properties of the boundary conditions, both in the free (topological) and interacting (conformal) cases. We analyze the fate of Wilson-'t Hooft lines,…

High Energy Physics - Theory · Physics 2026-01-23 Adrien Arbalestrier , Riccardo Argurio , Giovanni Galati , Elise Paznokas

In this paper a new look on the electro-magnetic duality is presented and appropriately exploited. The duality analysis in the nonrelativistic and relativistic formulations is shown to lead to the idea the mathematical model field to be a…

High Energy Physics - Theory · Physics 2007-05-23 Stoil Donev

The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of…

High Energy Physics - Theory · Physics 2024-04-02 Zezhuang Hao

We study how non-invertible self-duality defects arise in theories with a holographic dual. We focus on the paradigmatic example of $\mathfrak{su}(N)$ $\mathcal{N} = 4$ SYM. The theory is known to have non-invertible duality and triality…

High Energy Physics - Theory · Physics 2025-10-02 Andrea Antinucci , Francesco Benini , Christian Copetti , Giovanni Galati , Giovanni Rizi

Two field 2-forms on the space-time manifold, in a relationship of duality, are presented and included in the extended phase-space structure used to describe relativistic particles having both electric and magnetic charges. By exterior…

Mathematical Physics · Physics 2010-11-30 M. Grigorescu

We revisit Type IIB supergravity backgrounds with null and spacelike singularities with natural gauge theory duals proposed in {\tt hep-th/0602107} and {\tt hep-th/0610053}. We show that for these backgrounds there are always choices of the…

High Energy Physics - Theory · Physics 2008-11-26 Adel Awad , Sumit R. Das , K. Narayan , Sandip P. Trivedi

We consider the topological abelian BF theory with radial boundary on a generic 3D manifold. Our aim is to study if, where and how the boundary keeps memory of the details of the background metric. We find that some features are…

High Energy Physics - Theory · Physics 2022-03-28 Erica Bertolini , Filippo Fecit , Nicola Maggiore
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