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We explore novel examples of RG flows preserving a non-invertible self-duality symmetry. Our main focus is on $\mathcal{N}=1$ quadratic superpotential deformations of 4d $\mathcal{N}=4$ super-Yang-Mills theory with gauge algebra…

High Energy Physics - Theory · Physics 2024-02-16 Jeremias Aguilera Damia , Riccardo Argurio , Francesco Benini , Sergio Benvenuti , Christian Copetti , Luigi Tizzano

We discuss two-dimensional conformal field theories (CFTs) which are invariant under gauging a non-invertible global symmetry. At every point on the orbifold branch of $c=1$ CFTs, it is known that the theory is self-dual under gauging a…

High Energy Physics - Theory · Physics 2023-12-04 Yichul Choi , Da-Chuan Lu , Zhengdi Sun

We propose a novel approach to exploring duality defects in the $c=2$ compact boson conformal field theory (CFT). This study is motivated by the desire to classify categorical symmetries, particularly duality defects, in CFTs. While the…

High Energy Physics - Theory · Physics 2025-06-26 Yuma Furuta

Using nonperturbative techniques, we study the renormalization group trajectory between two conformal field theories. Specifically, we investigate a perturbation of the A3 superconformal minimal model such that in the infrared limit the…

High Energy Physics - Theory · Physics 2009-10-22 W. A. Leaf-Herrmann

We holographically investigate the renormalization group flow in a two-dimensional conformal field theory deformed by a relevant operator. If the relevant operator allows another fixed point, the UV conformal field theory smoothly flows to…

High Energy Physics - Theory · Physics 2018-12-05 Chanyong Park , Daeho Ro , Jung Hun Lee

We study topological defect lines in two-dimensional rational conformal field theory. Continuous variation of the location of such a defect does not change the value of a correlator. Defects separating different phases of local CFTs with…

High Energy Physics - Theory · Physics 2008-11-26 Jürg Fröhlich , Jürgen Fuchs , Ingo Runkel , Christoph Schweigert

We analyze superselection sectors, non-invertible symmetries and selection rules for RG flows triggered via perturbations of a UV two-dimensional conformal field theory (CFT$_2$). To this end we describe a method whose input is the local…

High Energy Physics - Theory · Physics 2026-03-11 Valentin Benedetti , Paul Fendley , Javier M. Magan

We extend the construction of the T-duality symmetry for the 2d compact boson to arbitrary values of the radius by including topological manipulations such as gauging continuous symmetries with flat connections. We show that the entire…

High Energy Physics - Theory · Physics 2025-03-12 Riccardo Argurio , Andrés Collinucci , Giovanni Galati , Ondrej Hulik , Elise Paznokas

We revisit the two dimensional non-Abelian Thirring model in order to investigate its fixed point structure and the corresponding renormalization group (RG) flow. For this purpose we discuss the bosonization of the model, and we present…

High Energy Physics - Theory · Physics 2023-07-31 Rodrigo Corso B. Santos , Carlos A. Hernaski , Pedro R. S. Gomes

In this letter we study renormalization group (RG) flows between 2d conformal field theories enjoying extended higher-spin $\mathcal{W}$-symmetry. We propose a new class of RG flows between the diagonal minimal models of…

High Energy Physics - Theory · Physics 2026-01-27 Federico Ambrosino , Tomáš Procházka

We discuss four dimensional renormalization group flows which preserve sixteen supersymmetries. In the infra-red, these can be viewed as deformations of the N=4 superconformal fixed points by special, irrelevant operators. It is argued that…

High Energy Physics - Theory · Physics 2009-10-31 Kenneth Intriligator

We explain when and why symmetries enhance in fermionic rational conformal field theories. In order to achieve the goal, we first clarify invariants under renormalization group flows. In particular, we find the Ocneanu rigidity is not…

High Energy Physics - Theory · Physics 2022-10-05 Ken Kikuchi

We use non-Abelian T-duality to construct new N=1 solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS_5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG…

High Energy Physics - Theory · Physics 2016-01-27 Niall T. Macpherson , Carlos Nunez , Daniel C. Thompson , S. Zacarias

We study two-dimensional spherical defects in d-dimensional Conformal Field Theories. We argue that the Renormalization Group (RG) flows on such defects admit the existence of a decreasing entropy function. At the fixed points of the flow,…

High Energy Physics - Theory · Physics 2023-12-13 Tom Shachar , Ritam Sinha , Michael Smolkin

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

We study holographic RG flows of N=2 matter couple AdS_3 supergravities which admit both compact and non-compact sigma manifolds. For the compact case the supersymmetric domain wall solution interpolates between a conformal IR region and…

High Energy Physics - Theory · Physics 2009-11-07 Nihat Sadik Deger

We consider Maxwell theory on a non-spin manifold. Depending on the choice of statistics for line operators, there are three non-anomalous theories and one anomalous theory with different symmetry fractionalizations. We establish the…

High Energy Physics - Theory · Physics 2024-11-05 Naoto Kan , Kohki Kawabata , Hiroki Wada

We find a large class of two-dimensional $\mathcal{N}=(0,2)$ SCFTs obtained by compactifying four-dimensional $\mathcal{N}=1$ quiver gauge theories on a Riemann surface. We study these theories using anomalies and $c$-extremization. The…

High Energy Physics - Theory · Physics 2016-11-07 Francesco Benini , Nikolay Bobev , P. Marcos Crichigno

We discuss in the planar approximation the effect of double-trace deformations on CFT's. We show that this large class of models posses a conformal window describing a non-trivial flow between two fixed points of the renormalization group,…

High Energy Physics - Theory · Physics 2014-11-20 Luca Vecchi

We consider topological defect lines (TDLs) in two-dimensional conformal field theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs together with their attached defect operators provide models of fusion…

High Energy Physics - Theory · Physics 2019-01-30 Chi-Ming Chang , Ying-Hsuan Lin , Shu-Heng Shao , Yifan Wang , Xi Yin
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