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We study the Symmetry Topological Field Theory in holography associated with 4d $\mathcal{N}=1$ Super Yang-Mills theory with gauge algebra $\mathfrak{su}(M)$. From this, all the bulk symmetry operators are computed and matched to various…

High Energy Physics - Theory · Physics 2024-01-25 Ibrahima Bah , Enoch Leung , Thomas Waddleton

Anomaly matching for continuous symmetries has been the primary tool for establishing symmetry enforced gaplessness - the phenomenon where global symmetry alone forces a quantum system to be gapless in the infrared. We introduce a new…

Strongly Correlated Electrons · Physics 2026-04-08 Takamasa Ando , Kantaro Ohmori

We consider the dynamical model of a binary bosonic gas trapped in a symmetric dual-core cigar-shaped potential. The setting is modeled by a system of linearly-coupled one-dimensional Gross-Pitaevskii equations with the cubic self-repulsive…

Pattern Formation and Solitons · Physics 2019-05-15 Bin Liu , Hua-Feng Zhang , Rong-Xuan Zhong , Xi-Liang Zhang , Xi-Zhou Qin , Chunqing Huang , Yong-Yao Li , Boris A. Malomed

In the present work, we generalize the theory of perturbations in a D + 1 dimensional space-time with cosmological constant, studying scalar, vector and tensor perturbations, as well as its structure in Newtonian and Synchronous gauge. We…

General Relativity and Quantum Cosmology · Physics 2024-04-04 Zoé Delfín , Rubén Cordero , Tonatiuh Matos , Miguel A. García-Aspeitia

We describe intersecting M5-branes, as well as M5-branes wrapping the holomorphic curve xy=c, in terms of a limit of a defect conformal field theory with two-dimensional (4,0) supersymmetry. This dCFT describes the low-energy theory of…

High Energy Physics - Theory · Physics 2010-12-03 N. R. Constable , J. Erdmenger , Z. Guralnik , I. Kirsch

Supersymmetric theories in four dimensions with chiral superfields have very rich BRS cohomology, which gives rise to potential anomalies in theories that contain composite antichiral spinor superfields. Assuming the coefficients are…

High Energy Physics - Theory · Physics 2008-02-03 J. A. Dixon

It is well-known that gauging a finite 0-form symmetry in a quantum field theory leads to a dual symmetry generated by topological Wilson line defects. These are described by the representations of the 0-form symmetry group which form a…

High Energy Physics - Theory · Physics 2022-11-23 Lakshya Bhardwaj , Sakura Schafer-Nameki , Jingxiang Wu

We show that any conformal field theory in d-dimensional Minkowski space, in a phase with spontaneously broken conformal symmetry and with the dilaton among its fields, can be rewritten in terms of the static gauge (d-1)-brane on AdS_(d+1)…

High Energy Physics - Theory · Physics 2014-11-18 S. Bellucci , E. Ivanov , S. Krivonos

We study various aspects of codimension one defects in free scalar field theory, with particular emphasis on line defects in two-dimensions. These defects are generically non-conformal, but include conformal and topological defects as…

High Energy Physics - Theory · Physics 2025-03-12 Seolhwa Kim , Per Kraus , Zhengdi Sun

We discuss aspects of global and gauged symmetries in quantum field theory and quantum gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of $\Z_p$ gauge theories shows that they are associated with an…

High Energy Physics - Theory · Physics 2011-04-22 Tom Banks , Nathan Seiberg

A new local, covariant and nilpotent symmetry is shown to exist for the interacting BRST invariant U(1) gauge theory in two dimensions of space-time. Under this new symmetry, it is the gauge-fixing term that remains invariant and the…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

We consider defect operators in scalar field theories in dimensions $d=4-\epsilon $ and $d=6-\epsilon$ with self-interactions given by a general marginal potential. In a double scaling limit, where the bulk couplings go to zero and the…

High Energy Physics - Theory · Physics 2022-12-21 D. Rodriguez-Gomez , J. G. Russo

We discuss the discrete as well as the continuous symmetry transformations for a three $(2+1)$-dimensional $(3D)$ combined system of the free Abelian 1-form and 2-form gauge theories within the framework of Becchi-Rouet-Stora-Tyutin (BRST)…

High Energy Physics - Theory · Physics 2026-01-12 R. Kumar , R. P. Malik

If our 3+1-dimensional universe is a brane or domain wall embedded in a higher dimensional space, then a phenomenon we term the ``clash of symmetries'' provides a new method of breaking some continuous symmetries. A global $G_{\text{cts}}…

High Energy Physics - Theory · Physics 2008-11-26 A. Davidson , B. F. Toner , R. R. Volkas , K. C. Wali

Symmetry plays a central role in quantum field theory. Recent developments include symmetries that act on defects and other subsystems, and symmetries that are categorical rather than group-like. These generalized notions of symmetry allow…

High Energy Physics - Theory · Physics 2022-05-20 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator , Shu-Heng Shao

The Chern--Simons term is used in the geometric theory of defects. The equilibrium equations with $\delta$-function source are explicitly solved with respect to the $SO(3)$ connection. This solution describes one straight linear…

Mathematical Physics · Physics 2017-11-01 M. O. Katanaev

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

We study the time evolution of a brane construction that is holographically dual to a strongly coupled gauge theory that dynamically breaks a global symmetry through the generation of an effective composite Higgs vev. The D3/D7 system with…

High Energy Physics - Theory · Physics 2010-12-20 Nick Evans , James French , Keun-Young Kim

We propose a top-down approach to non-invertible symmetries in 2D QFTs and their associated symmetry topological field theories. We focus on the gauge theory engineered on D1-branes probing a particular Calabi-Yau 4-fold singularity. We…

High Energy Physics - Theory · Physics 2023-12-29 Xingyang Yu

In this paper, we investigate a simple holographic model which describes the conformal symmetry breaking at zero temperature. The model is implemented in the context of effective holographic models for QCD described by the Einstein-dilaton…

High Energy Physics - Theory · Physics 2019-12-02 Luis A. H. Mamani
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