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We sketch a procedure to capture general non-invertible symmetries of a d-dimensional quantum field theory in the data of a higher-category, which captures the local properties of topological defects associated to the symmetries. We also…

High Energy Physics - Theory · Physics 2023-02-01 Lakshya Bhardwaj , Lea E. Bottini , Sakura Schafer-Nameki , Apoorv Tiwari

We extend the superembedding formalism for 4D N=1 superconformal field theory (SCFT) to the case of fields in arbitrary representations of the superconformal group SU(2,2|1). As applications we obtain manifestly superconformally covariant…

High Energy Physics - Theory · Physics 2013-12-16 Walter D. Goldberger , Zuhair U. Khandker , Daliang Li , Witold Skiba

We take first steps toward a theory of ``conformal twists'' for superconformal field theories in dimension 3 to 6, extending the well-known analysis of twists for supersymmetric theories. A conformal twist is a square-zero odd element in…

Mathematical Physics · Physics 2026-01-12 Chris Elliott , Owen Gwilliam , Matteo Lotito

Six-dimensional superconformal field theories (SCFTs) give rise to four-dimensional (4d) ones when compactified on Riemann surfaces. In the $\mathcal{N}=(2,0)$ case, this yields the famous class S family. For $\mathcal{N}=(1,0)$ theories…

High Energy Physics - Theory · Physics 2025-10-22 Fabio Apruzzi , Noppadol Mekareeya , Brandon Robinson , Alessandro Tomasiello

We consider 4d field theories obtained by reducing the 6d (1,0) SCFT of $N$ M5-branes probing a $\mathbb C^2/\mathbb Z_k$ singularity on a Riemann surface with fluxes. We follow two different routes. On the one hand, we consider the…

High Energy Physics - Theory · Physics 2022-10-19 Ibrahima Bah , Federico Bonetti , Enoch Leung , Peter Weck

We systematically analyze the operator content of unitary superconformal multiplets in $d > 3$ spacetime dimensions. We present a simple, general, and efficient algorithm that generates all of these multiplets by correctly eliminating…

High Energy Physics - Theory · Physics 2016-12-05 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator

We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension $d…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Sylvain Carrozza

The study of exactly marginal deformations of superconformal field theories is a topic that has received considerable attention due to their rich properties. We investigate the $\mathcal{N}=2$ preserving exactly marginal operators of 3d…

High Energy Physics - Theory · Physics 2020-12-30 Emanuele Beratto , Noppadol Mekareeya , Matteo Sacchi

A Cardy formula for 6d superconformal field theories (SCFTs) conjectured by Di Pietro and Komargodski in [1] governs the universal behavior of the supersymmetric partition function on $S^1_\beta \times S^5$ in the limit of small $\beta$ and…

High Energy Physics - Theory · Physics 2020-11-10 Chi-Ming Chang , Martin Fluder , Ying-Hsuan Lin , Yifan Wang

All known interacting 6D superconformal field theories (SCFTs) have a tensor branch which includes anti-chiral two-forms and a corresponding lattice of string charges. Automorphisms of this lattice preserve the Dirac pairing and specify…

High Energy Physics - Theory · Physics 2018-04-04 Fabio Apruzzi , Jonathan J. Heckman , Tom Rudelius

Using the F-theory realization, we identify a subclass of 6d (1,0) SCFTs whose compactification on a Riemann surface leads to N = 1 4d SCFTs where the moduli space of the Riemann surface is part of the moduli space of the theory. In…

High Energy Physics - Theory · Physics 2016-09-21 David R. Morrison , Cumrun Vafa

We perform a global analysis of the space of consistent 6D quantum gravity theories with N = 1 supersymmetry, including models with multiple tensor multiplets. We prove that for theories with fewer than T = 9 tensor multiplets, a finite…

High Energy Physics - Theory · Physics 2010-11-30 Vijay Kumar , David R. Morrison , Washington Taylor

Generalized global symmetries, in particular non-invertible and categorical symmetries, have become a focal point in the recent study of quantum field theory (QFT). In this paper, we investigate aspects of symmetry topological field…

High Energy Physics - Theory · Physics 2024-10-04 Sebastian Franco , Xingyang Yu

This article is based on my PhD thesis and covers the following topics: Holographic meson spectra in a dilaton flow background, the mixed Coulomb-Higgs branch in terms of instantons on D7 branes, and a dual description of heavy-light…

High Energy Physics - Theory · Physics 2008-11-26 Johannes Große

We investigate the interplay between (-1)-form symmetries and their quantum-dual (d-1)-form counterparts within the framework of Symmetry Topological Field Theories (SymTFTs). In this framework the phenomenon of decomposition -- a…

High Energy Physics - Theory · Physics 2025-03-31 Ling Lin , Daniel Robbins , Subham Roy

The modern approach to $m$-form global symmetries in a $d$-dimensional quantum field theory (QFT) entails specifying dimension $d-m-1$ topological generalized symmetry operators which non-trivially link with $m$-dimensional defect…

High Energy Physics - Theory · Physics 2023-08-09 Jonathan J. Heckman , Max Hübner , Ethan Torres , Hao Y. Zhang

Detailed studies of four dimensional N=2 superconformal field theories (SCFT) defined by isolated complete intersection singularities are performed: we compute the Coulomb branch spectrum, Seiberg-Witten solutions and central charges. Most…

High Energy Physics - Theory · Physics 2016-06-22 Yifan Wang , Dan Xie , Stephen S. -T. Yau , Shing-Tung Yau

We revisit the correspondence between Calabi-Yau (CY) threefold isolated singularities $\mathbf{X}$ and five-dimensional superconformal field theories (SCFTs), which arise at low energy in M-theory on the space-time transverse to…

High Energy Physics - Theory · Physics 2019-05-01 Cyril Closset , Michele Del Zotto , Vivek Saxena

This is an introduction to two-dimensional conformal field theory and its applications in string theory. Modern concepts of conformal field theory are explained, and it is outlined how they are used in recent studies of D-branes in the…

High Energy Physics - Theory · Physics 2017-08-23 C. Schweigert , J. Fuchs , J. Walcher

We analyze topological mass terms of BF type arising in supersymmetric M-theory compactifications to $AdS_5$. These describe spontaneously broken higher-form gauge symmetries in the bulk. Different choices of boundary conditions for the BF…

High Energy Physics - Theory · Physics 2021-04-07 Ibrahima Bah , Federico Bonetti , Ruben Minasian