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Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as an additional source for the electromagnetic field. The topological charge…

High Energy Physics - Theory · Physics 2007-05-23 E. C. Marino

In scenarios where electrons are confined to a flat surface, such as graphene, quantizing electrodynamics reveals intriguing insights. We find that one of Maxwell's equations manifests as part of the Hamiltonian, leading to novel…

Quantum Physics · Physics 2024-05-29 Ken-ichi Sasaki

We revisit modular invariance in two-dimensional Carrollian conformal field theories from a geometric perspective. Focusing on the characters of the induced and highest-weight representations of the theory, we show that there are regions of…

High Energy Physics - Theory · Physics 2025-11-13 Ankit Aggarwal , Arjun Bagchi , Stephane Detournay , Daniel Grumiller , Max Riegler , Joan Simon

We consider quasifree ground states of Araki's self-dual CAR algebra from the viewpoint of index theory and symmetry protected topological (SPT) phases. We first review how Clifford module indices characterise a topological obstruction to…

Mathematical Physics · Physics 2022-02-02 Chris Bourne

We present quantum holonomy theory, which is a non-perturbative theory of quantum gravity coupled to fermionic degrees of freedom. The theory is based on a C*-algebra that involves holonomy-diffeomorphisms on a 3-dimensional manifold and…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Johannes Aastrup , Jesper M. Grimstrup

We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent $z=0$ in two and three spacetime dimensions. These theories exhibit…

High Energy Physics - Theory · Physics 2025-09-09 Emilie Despontin , Stephane Detournay , Sudipta Dutta , Dima Fontaine

We present a complete quantization of an approximately homogeneous and isotropic universe with small scalar perturbations. We consider the case in which the matter content is a minimally coupled scalar field and the spatial sections are…

General Relativity and Quantum Cosmology · Physics 2013-10-16 Mikel Fernández-Méndez , Guillermo A. Mena Marugán , Javier Olmedo

We use holography to study (3+1)-dimensional N=4 supersymmetric Yang-Mills theory with gauge group SU(Nc), in the large-Nc and large-coupling limits, coupled to a single massless (n+1)-dimensional hypermultiplet in the fundamental…

High Energy Physics - Theory · Physics 2013-11-27 Martin Ammon , Kristan Jensen , Keun-Young Kim , João Laia , Andy O'Bannon

We study the low-energy dynamics of systems with exact and approximate higher-form symmetries using gauge/gravity duality. These symmetries are realised holographically via Maxwell-type theories for massless and massive $p$-forms in AlAdS…

High Energy Physics - Theory · Physics 2025-10-09 André Oliveira Pinheiro

We give a simple and direct construction of a massless quantum field with arbitrary discrete helicity that satisfies Wightman axioms and the corresponding relativistic wave equation in the distributional sense. We underline the mathematical…

Mathematical Physics · Physics 2007-05-23 Fernando Lledó

Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in…

High Energy Physics - Theory · Physics 2022-06-29 Arjun Bagchi , Shamik Banerjee , Rudranil Basu , Sudipta Dutta

The classical Maxwell-Dirac and Maxwell-Klein-Gordon theories admit solutions of the field equations where the corresponding electric current vanishes in the causal complement of some bounded region of Minkowski space. This poses the…

High Energy Physics - Theory · Physics 2009-10-31 Detlev Buchholz , Sergio Doplicher , Giovanni Morchio , John E. Roberts , Franco Strocchi

An important window to quantum gravity phenomena in low energy noncommutative (NC) quantum field theories (QFTs) gets represented by a specific form of UV/IR mixing. Yet another important window to quantum gravity, a holography, manifests…

High Energy Physics - Phenomenology · Physics 2011-01-28 Raul Horvat , Josip Trampetic

Conformal Carroll symmetry generically arises on null manifolds and is important for holography of asymptotically flat spacetimes, generic black hole horizons and tensionless strings. In this paper, we focus on two dimensional (2d) null…

High Energy Physics - Theory · Physics 2023-02-01 Arjun Bagchi , Aritra Banerjee , Sudipta Dutta , Kedar S. Kolekar , Punit Sharma

We argue that the holographic principle may be hinted at already from low-energy considerations, assuming diffeomorphism invariance, quantum mechanics and Minkowski-like causality. We consider the states of finite spacelike hypersurfaces in…

High Energy Physics - Theory · Physics 2009-11-22 Yakov Neiman

We construct approximate solutions of the hybrid quantum Gowdy cosmology with three-torus topology, linear polarization, and local rotational symmetry, in the presence of a massless scalar field. More specifically, we determine some…

General Relativity and Quantum Cosmology · Physics 2015-10-22 Beatriz Elizaga Navascués , Mercedes Martín-Benito , Guillermo A. Mena Marugán

The holographic duality allows to construct and study models of strongly coupled quantum matter via dual gravitational theories. In general such models are characterized by the absence of quasiparticles, hydrodynamic behavior and Planckian…

High Energy Physics - Theory · Physics 2019-11-20 Karl Landsteiner , Yan Liu , Ya-Wen Sun

The Swampland Program aims to delineate the space of consistent low-energy effective field theories (EFTs) that admit a UV completion in quantum gravity from those that do not. In parallel, holography, and particularly the AdS/CFT…

High Energy Physics - Theory · Physics 2026-02-03 Sudhaker Upadhyay , Alexander Reshetnyak , Pavel Moshin , Ricardo Castro

This paper is about algebro-geometrical structures on a moduli space $\CM$ of anomaly-free BV QFTs with finite number of inequivalent observables or in a finite superselection sector. We show that $\CM$ has the structure of F-manifold -- a…

Mathematical Physics · Physics 2011-02-09 Jae-Suk Park

We present in the article the formulation of a version of Lorentz covariant quantum mechanics based on a group theoretical construction from a Heisenberg-Weyl symmetry with position and momentum operators transforming as Minkowski…

General Physics · Physics 2020-02-18 Suzana Bedić , Otto C. W. Kong , Hock King Ting