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This paper investigates the holographic realization of anyons in \(SU(N)_k\) Chern-Simons theory within the AdS/CFT framework. The study extends traditional models, such as \(SU(2)\), to higher-rank groups like \(SU(3)\) and \(SU(4)\),…

高能物理 - 理论 · 物理学 2025-05-23 Tzu-Miao Chou

In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary…

高能物理 - 理论 · 物理学 2009-11-11 Donald Marolf , Simon Ross

The open string dual to a 1/6 BPS Wilson line in the ${\cal N} = 6$ super Chern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show that the resulting boundary term imposes mixed boundary conditions on the fields that…

高能物理 - 理论 · 物理学 2024-02-22 Diego H. Correa , Maximiliano G. Ferro , Victor I. Giraldo-Rivera

We discuss alternative definitions of the semiclassical partition function in two-dimensional CFTs with higher spin symmetry, in the presence of sources for the higher spin currents. Theories of this type can often be described via…

高能物理 - 理论 · 物理学 2018-10-09 Jan de Boer , Juan I. Jottar

We study topological boundary conditions in abelian Chern-Simons theory and line operators confined to such boundaries. From a mathematical point of view, their relationships are described by a certain 2-category associated to an even…

高能物理 - 理论 · 物理学 2011-03-07 Anton Kapustin , Natalia Saulina

We construct a two-dimensional dual field theory induced at the boundary of three-dimensional Chern-Simons gravity invariant under the Maxwell algebra. The resulting action takes the form of a Maxwellian extension of the flat Liouville…

高能物理 - 理论 · 物理学 2025-06-10 Felix Höfenstock , Patricio Salgado-Rebolledo

We propose $SL(2,\mathbb{Z})$ dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of…

高能物理 - 理论 · 物理学 2025-12-12 Tadashi Okazaki , Douglas J. Smith

According to the AdS/CFT dictionary, adding a relevant double-trace deformation $f\int O^2$ to a holographic CFT action is dual to imposing mixed Neumann/Dirichlet boundary conditions for the field dual to $O$ in AdS. We observed similar…

高能物理 - 理论 · 物理学 2024-04-29 Machiko Fukada , Akihiro Miyata

The Maxwell-Chern-Simons (MCS) theory with planar boundary is considered. The boundary is introduced according to Symanzik's basic principles of locality and separability. A method of investigation is proposed, which, avoiding the straight…

高能物理 - 理论 · 物理学 2014-11-20 A. Blasi , N. Maggiore , N. Magnoli , S. Storace

We consider two instances of boundary conditions for massless scalars on $AdS_2$ that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full $SL(2;\mathds{R})$ conformal…

高能物理 - 理论 · 物理学 2023-02-15 Anthonny F. Canazas Garay , Diego H. Correa , Alberto Faraggi , Guillermo A. Silva

According to the holographic principle all information in the bulk of a space is coded at its border. We will check this statement in three situations involving the AdS/CFT correspondence. There is a well known equivalence between the…

高能物理 - 理论 · 物理学 2007-05-23 Victor O. Rivelles

Recently, topological interfaces between three-dimensional abelian Chern-Simons theories were constructed. In this note we investigate such topological interfaces in the context of the $AdS_3/CFT_2$ correspondence. We show that it is…

高能物理 - 理论 · 物理学 2019-02-06 Michael Gutperle , John D. Miller

We consider the role of boundary conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of boundary conditions, Dirichlet,…

高能物理 - 理论 · 物理学 2009-10-31 Pablo Minces , Victor O. Rivelles

In this work we expand on the holographic description of CFTs on de Sitter (dS) and anti-de Sitter (AdS) spacetimes and examine how violations of the unitarity bound in the boundary theory are recovered in the bulk physics. To this end we…

高能物理 - 理论 · 物理学 2012-03-21 Tomas Andrade , Christoph F. Uhlemann

We study a three-dimensional Chern-Simons gravity theory based on the Maxwell algebra. We find that the boundary dynamics is described by an enlargement and deformation of the $\mathfrak{bms}_3$ algebra with three independent central…

Scalars in AdS${}_{d+1}$ with squared masses in the Breitenlohner-Freedman window $-d^2/4 \le m^2 < -d^2/4 +1$ (in units with the AdS scale $\ell$ set to 1) are known to enjoy a variety of boundary conditions. For larger masses $m^2 >…

高能物理 - 理论 · 物理学 2015-05-28 Tomas Andrade , Donald Marolf

We study the on-resonance Spin-1/2 Double Kicked Rotor, a periodically driven quantum system that hosts topological phases. Motivated by experimental constraints, we analyze the effects of open and periodic boundary conditions in contrast…

量子物理 · 物理学 2026-01-16 Victoria Motsch , Nikolai Bolik , Sandro Wimberger

We discuss a fine-tuning of rather generic three dimensional higher-curvature gravity actions that leads to gauge symmetry enhancement at the linearized level via partial masslessness. Requiring this gauge symmetry to be present also…

高能物理 - 理论 · 物理学 2012-03-27 Hamid Afshar , Branislav Cvetković , Sabine Ertl , Daniel Grumiller , Niklas Johansson

Yang-Mills theory in AdS$_{4}$ with Dirichlet boundary conditions is expected to undergo a transition as the AdS radius varies, since the boundary data is incompatible with confinement in flat space. Various mechanisms have been proposed…

高能物理 - 理论 · 物理学 2025-12-02 Lorenzo Di Pietro , Stefanos R. Kousvos , Marco Meineri , Alessandro Piazza , Marco Serone , Alessandro Vichi

In this paper, based on the $ AdS_{4}/CFT_{3} $ duality, we have explored the precise connection between the abelian Chern-Simons (CS) Higgs model in ($ 2+1 $) dimensions to that with its dual gravitational counterpart living in one higher…

高能物理 - 理论 · 物理学 2014-10-06 Dibakar Roychowdhury
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