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We develop a framework based on the covariant phase space formalism that identifies gravitational edge modes as dynamical reference frames. They enable the identification of the associated spacetime region and the imposition of boundary…

高能物理 - 理论 · 物理学 2024-08-14 Sylvain Carrozza , Stefan Eccles , Philipp A. Hoehn

We analyze the Coulomb phase of theories of $N=2$ SQCD with $SU(N_c)$ gauge groups which are conjectured to have exact electric-magnetic duality. We discuss the duality transformation of the particle spectrum, emphasizing the differences…

高能物理 - 理论 · 物理学 2009-09-29 Ofer Aharony , Shimon Yankielowicz

$p$-form electrodynamics in $d\geq 2$ dimensions is shown to emerge as the edge modes of a topological field theory with a precise set of boundary conditions, through the Hamiltonian reduction of its action. Electric and magnetic charges…

高能物理 - 理论 · 物理学 2023-10-05 Oscar Fuentealba , Ricardo Troncoso

Dirac, Schwinger and Zwanziger theories of electric and magnetic charges are obtained via duality transformation. Analogous construction for three Euclidean dimensions, with magnetic charges interacting with electric currents, is also done.…

高能物理 - 理论 · 物理学 2017-11-22 Chandrasekhar Chatterjee , Indrajit Mitra , H. S. Sharatchandra

There exists a formulation of the Maxwell theory in terms of two vector potentials, one electric and one magnetic. The action is then manifestly invariant under electric-magnetic duality transformations, which are rotations in the…

高能物理 - 理论 · 物理学 2014-03-14 Claudio Bunster , Marc Henneaux

Maximally supersymmetric gauge theory in four dimensions admits local boundary conditions which preserve half of the bulk supersymmetries. The S-duality of the bulk gauge theory can be extended in a natural fashion to act on such half-BPS…

高能物理 - 理论 · 物理学 2016-11-09 Davide Gaiotto

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…

高能物理 - 理论 · 物理学 2007-05-23 Stoil Donev

The proper definition of subsystems in gauge theory and gravity requires an extension of the local phase space by including edge mode fields. Their role is on the one hand to restore gauge invariance with respect to gauge transformations…

广义相对论与量子宇宙学 · 物理学 2018-02-12 Marc Geiller

Double sigma model with the strong constraints is equivalent to the normal sigma model by imposing the self-duality relation. The gauge symmetries are the diffeomorphism and one-form gauge transformation with the strong constraints. We…

高能物理 - 理论 · 物理学 2015-12-09 Chen-Te Ma

This paper investigates the geometric consequences of equality in area-charge inequalities for spherical minimal surfaces and, more generally, for marginally outer trapped surfaces (MOTS), within the framework of the Einstein-Maxwell…

微分几何 · 数学 2025-05-27 Abraão Mendes

In this work, we revisit abelian S-duality in the context of higher gauge theory. By using a specific crossed module a set of transformations arise, which are known as the "thin" and "fat" transformations. The "fat" transformations are the…

高能物理 - 理论 · 物理学 2025-12-17 Javier Chagoya , A. D. López-Hernández , M. Sabido

Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than…

高能物理 - 理论 · 物理学 2015-11-04 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent…

高能物理 - 理论 · 物理学 2018-05-30 Marc Henneaux , Cédric Troessaert

For D=4 theories of a single U(1) gauge field strength coupled to gravity and matters, we show that the electric-magnetic duality can be formulated as an invariance of the actions. The symmetry is associated with duality rotation acting…

高能物理 - 理论 · 物理学 2009-10-31 Yuji Igarashi , Katsumi Itoh , Kiyoshi Kamimura

We study the vacuum functional for a system of p-branes interacting with Maxwell fields of higher rank. This system represents a generalization of the usual electrodynamics of point particles, with one essential difference: namely, that the…

高能物理 - 理论 · 物理学 2009-10-31 S. Ansoldi , A. Aurilia , L. Marinatto , E. Spallucci

We systematically apply the formalism of duality walls to study the action of duality transformations on boundary conditions and local and nonlocal operators in two, three, and four-dimensional free field theories. In particular, we…

高能物理 - 理论 · 物理学 2009-11-13 Anton Kapustin , Mikhail Tikhonov

This paper studies $3d$ $\mathcal{N}=4$ supersymmetric gauge theories on an elliptic curve, with the aim to provide a physical realisation of recent constructions in equivariant elliptic cohomology of symplectic resolutions. We first study…

高能物理 - 理论 · 物理学 2022-08-02 Mathew Bullimore , Daniel Zhang

We present a foliation-focused critical review of the boundary conditions and dynamics of 4D gravitational theories. A general coordinate transformation introduces a new foliation and changes the hypersurface on which a natural boundary…

高能物理 - 理论 · 物理学 2019-09-04 I. Y. Park

We consider the ($3{+}1$)-dimensional Maxwell theory in the situation where going around nontrivial paths in the spacetime involves the action of the duality transformation exchanging the electric field and the magnetic field, as well as…

高能物理 - 理论 · 物理学 2019-10-18 Chang-Tse Hsieh , Yuji Tachikawa , Kazuya Yonekura

This is a general introduction to electric-magnetic duality in non-abelian gauge theories. In chapter I, I review the general ideas which led in the late 70s to the idea of electric/magnetic duality in quantum field theory. In chapters II…

高能物理 - 理论 · 物理学 2008-02-03 Frank Ferrari