Article
Physics, Particles & Fields
Sebastian Franco, Xingyang Yu
Summary: The study initiates a general class of 2d N = (0, 2) quiver gauge theories, referred to as BFT2's, which are natural generalizations of Brane Brick Models. It explores how the dynamics and triality of the gauge theories translate into simple transformations of the underlying CW complexes, introducing various combinatorial tools for analysis. Additionally, the investigation delves into the connections of these theories with toric Calabi-Yau manifolds, emphasizing the importance of moduli space in identifying theories in the same triality class.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sebastian Franco, Azeem Hasan
Summary: The open string sector of the topological B-model on CY (m + 2)-folds involves m-graded quivers with superpotentials, connecting CY (m + 2)-folds and gauge theories on the worldvolume of D(5 - 2m)-branes for arbitrary m. The introduction of the Calabi-Yau product algorithm significantly improves existing methods by simplifying the determination of quiver theories for previously inaccessible geometries.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Riccardo Argurio, Matteo Bertolini, Sebastian Franco, Eduardo Garcia-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff
Summary: By studying (orientifolded) toric Calabi-Yau singularities, we identify a specific construction that can lead to dynamical supersymmetry breaking at low energy, providing the potential for a stable vacuum with supersymmetry breaking.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sujay K. Ashok, Varun Gupta, Nemani Suryanarayana
Summary: The study focuses on singular time-dependent 18-BPS configurations in the abelian sector of N = 4 supersymmetric Yang-Mills theory, representing BPS string-like defects and their intersections with a 3-sphere. It argues that these BPS strings map to 18-BPS surface operators, and are holographically dual to noncompact probe D3-branes in global AdS(5) x S-5 that share supersymmetries with a class of dual-giant gravitons.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Marieke van Beest, Simone Giacomelli
Summary: In this paper, the authors investigate the transformation of the Higgs branch geometry of 5d superconformal field theories under movement along the extended Coulomb branch. They establish a correspondence between Fayet-Iliopoulos deformations in 3d and 5d mass deformations, and utilize this correspondence to establish a local version of mirror symmetry in cases where the Higgs branch has multiple cones characterized by a collection of magnetic quivers. Several detailed examples of deformations, including decouplings and weak-coupling limits, are provided for various conformal matter theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sebastian Franco, Dongwook Ghim, Rak-Kyeong Seong
Summary: This study identifies the 2d (0, 2) supersymmetric gauge theories corresponding to the classes of Y-p,Y-k(CP1 x CP1) and Y-p,Y-k(CP2) manifolds. The complex cones over these Sasaki-Einstein 7-manifolds are non-compact toric Calabi-Yau 4-folds. These infinite families of geometries are the largest ones for Sasaki-Einstein 7-manifolds whose metrics, toric diagrams, and volume functions are known explicitly. Therefore, this study presents the largest list of 2d (0, 2) supersymmetric gauge theories corresponding to Calabi-Yau 4-folds with known metrics.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Zhenghao Zhong
Summary: This paper explores the Hasse diagram of the moduli space of instantons and introduces the concept of decorated quiver. The study utilizes various perspectives and techniques, including the partial Higgs mechanism, brane systems, and quiver subtraction, to refine the analysis.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sebastian Franco, Rak-Kyeong Seong
Summary: This work explores the connection between reflexive polytopes and gauge theories in dimensions and reveals a duality between the generators of the mesonic moduli space and the dual reflexive polytope. The findings highlight the close relationship between geometry and gauge theory and provide new avenues for research in the field of reflexive polytopes and brane brick models.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Antoine Bourget, Simone Giacomelli, Julius F. Grimminger, Amihay Hanany, Marcus Sperling, Zhenghao Zhong
Summary: This paper discusses magnetic quivers and Hasse diagrams for Higgs branches of rank r 4d N = 2 SCFTs arising from Z(l)S-fold constructions. The magnetic quivers are derived using three different methods, leading to the suggestion of a larger set of SCFTs in four dimensions than previously expected by exploring different ungauging schemes on different nodes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Dmitry Galakhov, Wei Li, Masahito Yamazaki
Summary: This article introduces the trigonometric and elliptic analogues of quiver Yangians, called toroidal quiver algebras and elliptic quiver algebras, respectively. The representations of these shifted toroidal and elliptic algebras are constructed using the statistical model of crystal melting. The algebras and their representations are also derived from equivariant localization of three-dimensional N = 2 supersymmetric quiver gauge theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Eduardo Garcia-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff
Summary: The study revisits D3-branes at toric CY3 singularities with orientifolds and their description through dimer models. New orientifold projections related to maps on the dimer without fixed points, leading to Klein bottles, were classified through smooth involutions of the torus. These new orientifolds lead to novel N = 1 SCFT's resembling non-orientifolded theories, including the presence of fractional branes and triggering cascading RG-flow like Klebanov-Strassler. The remaining involutions lead to non-supersymmetric setups, covering all possible orientifolds on dimers.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Xiaobin Li, Futoshi Yagi
Summary: This paper investigates 5d N = 1 Sp(N) gauge theory with N-f (<= 2N + 3) flavors based on 5-brane web diagram with O5-plane. The study discusses Seiberg-Witten curve and computes Nekrasov partition function using topological vertex formalism with O5-plane. The results show consistency between Seiberg-Witten curve and prepotential, providing evidence for mirror symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Rudolph Kalveks, Marcus Sperling, Zhenghao Zhong
Summary: We studied specific families of 3D N = 4 quiver gauge theories with Higgs branches consisting of multiple cones. By utilizing brane constructions, magnetic quivers, Hasse diagrams, and Hilbert series computations, we examined the intricate structure of the classical Higgs branches. We applied the principle of inversion to the classical Higgs branch Hasse diagrams and proposed the quantum Coulomb branch Hasse diagrams. These Coulomb branches have several singular loci corresponding to the cones in the Higgs branch. The significance of this work is evaluated.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Antonio Amariti, Marco Fazzi, Simone Rota, Alessia Segati
Summary: In 4d SCFTs obtained by orientifold projections on necklace quivers with fractional branes, models can have the same central charges and superconformal index after projection, even if they are not dual in the unoriented case. This behavior is attributed to the ubiquitous presence of adjoint fields with R-charge one. It is claimed that the presence of such fields leads to the notion of inherited S-duality on the models' conformal manifold.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Thomas Bourton, Alessandro Pini, Elli Pomoni
Summary: In this paper, a special class of N = 1 SCFTs, known as Class Sk, is studied in which Coulomb and Higgs branches can be defined precisely. BPS operators parameterizing these vacua branches are investigated using various limits of the superconformal index and the Coulomb and Higgs branch Hilbert Series. The developed tools are then used to confirm the deconstruction of the six dimensional (1, 1) Little String theory from a toroidal quiver in Class S-k.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Cyril Closset, Sakura Schafer-Nameki, Yi-Nan Wang
Summary: This paper mainly discusses the five-dimensional and four-dimensional superconformal field theories arising from canonical threefold singularities in M-theory and Type IIB string theory. It studies their Coulomb and Higgs branches, and proposes a relation between the resulting moduli spaces through compactification, mirror symmetry, and gauging. By applying this framework, it determines the Higgs branches of some 5d SCFTs and their magnetic quivers. Finally, it also computes the higher-form symmetries of the 4d and 5d SCFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Lakshya Bhardwaj, Sakura Schafer-Nameki
Summary: The paper describes general methods for determining higher-form symmetry groups of known 5d and 6d superconformal field theories (SCFTs) and 6d little string theories (LSTs). It delves into the complexity and subtleties arising from the interaction of BPS excitations and gauge group centers in describing the 1-form symmetry of these theories. Furthermore, it discusses ways to determine the 2-form symmetry group of 6d theories using the Green-Schwarz coupling associated with the theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Marieke van Beest, Antoine Bourget, Julius Eckhard, Sakura Schafer-Nameki
Summary: This paper investigates the generation process of 5d SCFTs from 6d SCFTs, including the decoupling of hypermultiplet matter, RG-flow, and the construction of decoupling trees. By using the approach of generalized toric polygons, magnetic quivers and Hasse diagrams of 5d SCFTs are systematically derived, and the Higgs branches of various 5d KK-theories and their descendants are computed.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Max Hubner, Sakura Schafer-Nameki
Summary: This study focuses on confinement in 4d N = 1 theories obtained by deforming 4d N = 2 theories of Class S. The researchers argue that confinement in a vacuum of the N = 1 theory can be encoded in the 1-cycles of the associated N = 1 curve. They reproduce the expected properties of confinement in classic examples and provide tools for probing confinement in non-Lagrangian N = 1 theories.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Max Hubner, Sakura Schafer-Nameki
Summary: The study identified the 1-form symmetry group for 4d N = 2 class S theories constructed by compactifying 6d theories on a Riemann surface, discussing the construction process and related elements, as well as exploring the possibility of generalizing the results. Additionally, the 1-form symmetry was derived from a Type IIB realization of class S theories to complement the analysis from 6d.
Article
Physics, Particles & Fields
Cyril Closset, Sakura Schafer-Nameki, Yi-Nan Wang
Summary: The paper explores the physics of superconformal field theories arising from isolated hypersurface singularities. It focuses on canonical isolated hypersurface singularities that allow for smooth crepant resolutions. The 5d and 4d physics of these singularities are discussed, and their 3d reduction and mirrors are determined in many cases. The paper also provides a Mathematica code to compute key quantities for any canonical isolated hypersurface singularity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Fabio Apruzzi, Lakshya Bhardwaj, Dewi S. W. Gould, Sakura Schafer-Nameki
Summary: We investigate the 2-group symmetries in 6d superconformal field theories, which arise from the mixing between the discrete 1-form symmetry and continuous flavor symmetry group. By applying the approach that is applicable more generally, we classify all 6d superconformal field theories with such 2-group symmetries and discuss the dimension-independent aspects of the analysis. We also provide a mathematical code for computing 2-group symmetries once the dimension specific input is provided.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Sakura Schafer-Nameki, Jingxiang Wu
Summary: By gauging symmetries in quantum field theory, dual symmetries related to topological Wilson line defects can be obtained, forming a larger (d-1) × (d-1)-category. In one particular 2-category, the objects are 2d condensation defects constructed from higher-level gauging.
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Max Hubner, David Morrison, Sakura Schafer-Nameki, Yinan Wang
Summary: This paper discusses the application of F-theory on non-compact elliptically fibered Calabi-Yau manifolds, realizing higher-form symmetries. The topology of the boundary of the non-compact elliptic fibration and the construction of relative 2-cycles using Lefschetz thimbles are central to this study. The analysis is applied to various elliptic fibrations, including those with intersections between the discriminant of the elliptic fibration and the boundary. The concrete realization of the 1-form symmetry group is achieved by constructing the associated charged line operator from the elliptic fibration, and its application in computing symmetry topological field theories in elliptic three-folds is demonstrated.
Article
Physics, Multidisciplinary
Fabio Apruzzi, Sakura Schafer-Nameki, Lakshya Bhardwaj, Jihwan Oh
Summary: The article discusses the existence and properties of 2-group symmetries in 5-dimensional superconformal field theories. The authors discover 2-group symmetries in 5-dimensional N=1 abelian gauge theories and determine the global forms of 0-form flavor symmetry groups in 5-dimensional SCFTs. The analysis also includes the study of 2-group symmetries in 5-dimensional N=1 non-abelian gauge theories and their relation to mixed 't Hooft anomalies between 1-form and 0-form symmetries.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Simone Giacomelli, Max Hubner, Sakura Schafer-Nameki
Summary: This paper studies codimension-two defects in 6d N=(2,0) theories, and finds that the line defects living inside these codimension-two defects form a defect group. These relative defects provide boundary conditions for topological defects of the 7d bulk TQFT and play a key role in the construction of 4d N=2 Class S theories.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki, Apoorv Tiwari
Summary: We propose a procedure to capture general non-invertible symmetries of d-dimensional quantum field theories using the data of a higher-category. This procedure captures the local properties of topological defects associated with the symmetries. We also discuss the fusion of topological defects and explain that the phenomenon of dimension-changing fusions can be understood as higher-morphisms of the higher-category describing the symmetry.
Article
Physics, Multidisciplinary
Michele Del Zotto, Inaki Garcia-Etxebarria, Sakura Schafer-Nameki
Summary: This paper presents a method for determining the 2-group structure from the boundary geometry of M-theory background, and illustrates and confirms the results on 2-groups from geometric engineering in specific backgrounds.
Article
Astronomy & Astrophysics
Fabio Apruzzi, Marieke van Beest, Dewi S. W. Gould, Sakura Schafer-Nameki
Summary: This study focuses on confinement in 4d N = 1 SU(N) Super-Yang Mills theory, with an emphasis on the 1-form symmetry and its relation to chiral symmetry breaking. By examining the topological couplings in the 5d truncation of the Klebanov-Strassler solution, the determination of the 1-form symmetry and its 't Hooft anomalies is identified. The research also reveals an infrared 4d topological field theory that realizes chiral symmetry breaking and matches the mixed anomaly, shedding light on the connection between different symmetries in the theory.
Article
Physics, Particles & Fields
Cyril Closset, Simone Giacomelli, Sakura Schaefer-Nameki, Yi-Nan Wang
Summary: Canonical hypersurface singularities in M-theory and Type IIB string theory lead to 5d and 4d superconformal field theories (SCFTs), respectively. This paper focuses on a specific class of 'trinion' singularities in Type IIB, which give rise to 4d N = 2 SCFTs known as Dpb(G)-trinions. Reducing these 4d and 5d SCFTs to 3d N = 4 theories helps determine their electric and magnetic quivers.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)