Article
Physics, Particles & Fields
Sung-Soo Kim, Xing-Yue Wei
Summary: This paper proposes a refined topological vertex formalism for 5-brane systems with ON-planes by introducing a new vertex associated with reflection over an ON-plane, resulting in new vertex and edge factors. The proposal is tested against various 5d N = 1 gauge theories, including D-type quiver theories, which can be realized as 5-brane webs with ON-planes. The refined partition functions for 6d E-string theory on a circle and 5d SU(3) theory at the Chern-Simons level 9, which can be realized as 5-brane webs with two ON-planes, are computed and found to be in complete agreement with known results.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Mathew Bullimore, Andrea E. Ferrari, Heeyeon Kim, Guangyu Xu
Summary: This paper investigates the contributions to the supersymmetric quantum mechanics from topological saddle points in supersymmetric localization of abelian gauge theories, providing further explanation for the twisted index of 3D N=2 gauge theories on S-1 x Sigma.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Hee-Cheol Kim, Minsung Kim, Sung-Soo Kim
Summary: In this work, the partition function for 6d N=1 SO(2N) gauge theories compactified on a circle with Z(2) outer automorphism twist is computed using 5-brane webs with two O5-planes and topological vertex. The results for representative examples of 6d SO(8) and SU(3) gauge theories with Z(2) twist are shown to agree with elliptic genus computations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Francesco Benini, Sergio Benvenuti
Summary: The study focuses on three-dimensional sQED with 2 flavors and minimal supersymmetry, exploring models dual to Gross-Neveu-Yukawa theories. The U(2) ultraviolet global symmetry is enhanced in the infrared, such as to O(4) or SU(3), which is similar to the behavior of non-supersymmetric QED with 2 flavors. Perturbative analysis shows that superpotential deformations preserving U(2) in the Gross-Neveu-Yukawa models are irrelevant, indicating stable fixed points with enhanced symmetry. Additionally, an example of N = 2 sQED with 4 flavors is constructed, exhibiting enhanced SO(6) symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Eric D'Hoker, Thomas T. Dumitrescu, Emily Nardoni
Summary: This paper discusses the Seiberg-Witten solution of pure N = 2 gauge theory in four dimensions, obtaining an exact series expansion for the dependence of Seiberg-Witten periods on Coulomb-branch moduli. The global structure of the Kahler potential on the Coulomb branch is explored utilizing analytical results and numerical computations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Erich Poppitz, F. David Wandler
Summary: This article explicitly calculates the topological terms that arise in SU(N) gauge theories under different field conditions and the matching conclusions, mainly involving theories with Abelian 0-form symmetry. Through comparative analysis, it is pointed out that the conclusion of anomaly matching differs from the previously thought form.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Vishnu Jejjala, Yang Lei, Sam van Leuven, Wei Li
Summary: The superconformal indices of four-dimensional N = 1 gauge theories have been studied and their modular properties have been investigated. It has been shown that the indices can be factorized into holomorphic blocks, which are related to the underlying geometry's Heegaard splitting. By extending the transformations to a more general setting, it is concluded that the indices can be factorized into holomorphic blocks parametrized by modular (congruence sub)groups.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Dongmin Gang, Dongyeob Kim
Summary: By using the (3D rank-0 N=4 SCFT)/(non-unitary TQFTs) correspondence on S-fold SCFTs, we have constructed a new type of non-unitary TQFTs labeled by an integer k=3. These SCFTs are obtained through gauging the diagonal SU(2) subgroup of the T[SU(2)] theory with Chern-Simons level k. We have provided an explicit expression for the modular data, S and T matrices, of these TQFTs. When k=4m(2)+4m+3, where m is an integer, the modular data (modulo a decoupled semion) is identical to a non-unitary Haagerup-Izumi modular data. Thus, we have given a physical realization of the exotic non-unitary modular data and its generalization using an exotic class of SCFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Abhijit Gadde
Summary: The study discusses the modular property of supersymmetric partition functions in four dimensions and explores the consistency of gluing operations on different topological spaces. The research results play a crucial role in physical calculations such as computing the entropy of supersymmetric black holes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Karim Benakli, Cassiano A. Daniel, Wenqi Ke
Summary: In this paper, we decompose the superspace action obtained in [1] for the first massive level of the open charged superstring in a flat four-dimensional spacetime. In the absence of an electromagnetic background, we demonstrate the retrieval of the Rarita-Schwinger and Fierz-Pauli Lagrangians for spin-3/2 and 2, respectively. We then present different forms of the action in the presence of the electromagnetic background. The resulting equations of motion describe the propagation of fields of charged spin-3/2 and spin-1/2, as well as spin-2, 1, and 0.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Horia Magureanu
Summary: We study the Coulomb branches of four-dimensional supersymmetric quantum field theories with N = 2 supersymmetry. In particular, we focus on the relation between their Seiberg-Witten geometries and rational elliptic surfaces. We classify the modular surfaces using the subgroups of the modular group PSL(2, Z) and derive closed-form expressions for the modular functions. We also provide a prescription for determining the BPS quivers using the fundamental domains of the monodromy groups and study how changes of these domains can be interpreted as quiver mutations. This prescription can be generalized to theories with 'undeformable' singularities.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Arash Arabi Ardehali, Junho Hong
Summary: The prototype presented offers a Wilsonian analysis of the asymptotics of supersymmetric partition functions of non-abelian gauge theories. By localizing the partition function on various patches of the BPS moduli space and summing up their contributions, an accurate and scheme-independent asymptotic result is obtained in the Wilsonian approach. As a byproduct, the most general asymptotic expression for the index of gauge theories in the Cardy-like limit is derived, encompassing and extending all previous results.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Yasha Neiman
Summary: We study minimal type-A higher-spin gravity in four dimensions, proposing new diagrammatic rules that involve Fronsdal fields and Didenko-Vasiliev particles. These rules can reproduce all n-point functions of the theory's holographic dual, the free O(N) vector model.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Particles & Fields
Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki
Summary: In this study, we explore various conjectural dual descriptions of a stack of M2-branes in M-theory and propose several new dualities of the M2-brane SCFTs by analyzing flavored supersymmetric indices. The mappings of local operators, Coulomb, Higgs, and mixed branch operators as well as global symmetries under the dualities are obtained from the precise matching of the indices. We also find closed form expressions and more useful expressions for certain indices, which are significant for further research.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sergio Benvenuti, Paolo Spezzati
Summary: In the study of supersymmetric domain walls in four-dimensional N = 1 Sp(N) SQCD with F = N + 1 and F = N + 2 flavors, numerical methods are used to examine the differential equations defining the walls and the 3d N = 1 Chern-Simons-matter theories that describe the effective dynamics on the walls. While various tests are passed, including dualities and matching of the vacua, the semiclassical analysis of vacua for F = N + 2 suggests the presence of strong coupling phenomena yet to be understood in the 3d N = 1 gauge theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Cyril Closset, Dongwook Ghim, Rak-Kyeong Seong
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Cyril Closset, Jirui Guo, Eric Sharpe
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Cyril Closset, Heeyeon Kim, Brian Willett
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Cyril Closset, Sebastian Franco, Jirui Guo, Azeem Hasan
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Review
Physics, Nuclear
Cyril Closset, Heeyeon Kim
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2019)
Article
Physics, Particles & Fields
Cyril Closset, Lorenzo Di Pietro, Heeyeon Kim
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
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)
Review
Physics, Multidisciplinary
Fernando Alday, Philip Argyres, Madalena Lemos, Mario Martone, Leonardo Rastelli, Massimo Taronna, Sunil Mukhi, Lucia Cordova, Yifei He, Martin Kruczenski, Pedro Vieira, Elli Pomoni, Antoine Bourget, Amihay Hanany, Marco Fazzi, Simone Giacomelli, Masahito Yamazaki, Charlotte Kristjansen, Cyril Closset, Xinan Zhou, Agnese Bissi, Charlotte Sleight
Summary: This manuscript samples recent results in understanding the space of conformal field theories, with a focus on theories with extended supersymmetry. The majority of results were presented during the second Pollica summer workshop in 2019, focusing on mathematical and geometric tools for superconformal field theories. The manuscript serves as a partial summary of the workshop.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Cyril Closset, Horia Magureanu
Summary: The study examines the U-plane and Seiberg-Witten (SW) curve of the simple non-trivial 5d superconformal field theories with E-n flavour symmetry. It classifies all possible Coulomb branch configurations for the E-n theories and their 4d descendants, and explores the global form of the flavour symmetry group. Special points in parameter space are investigated, such as those where flavour symmetry enhances and where specific theories appear.
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, Particles & Fields
Cyril Closset, Horia Magureanu
Summary: We propose a new approach to computing the supersymmetric partition function on closed five-manifolds by introducing a non-trivial fibration over the four-manifold and examining the Coulomb branch partition function. We match the low-energy effective field theory approach to explicit one-loop computations and discuss the effects of non-perturbative particles. We also provide evidence for the validity of the Lockhart-Vafa formula for the five-sphere partition function.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Cyril Closset, Osama Khlaif
Summary: In this study, we investigate the relationship between the topologically twisted index and unitary gauge groups in 3d N=2 supersymmetric gauge theories. We use a Grobner basis algorithm to calculate the Sigma(g) x S-1 index explicitly and exactly, in terms of the associated Bethe ideal. We also examine the recently discovered infrared dualities for unitary SQCD and determine the necessary flavor Chern-Simons contact terms. Additionally, we initiate the study of the Witten index for unitary SQCD with l≠0.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Cyril Closset, Michele DEL Zotto
Summary: This paper studies the BPS particle spectrum on the Coulomb branch of five-dimensional superconformal field theories (5d SCFTs) compactified on a circle. By engineering these theories in M-theory on X x S-1, the BPS category of the 5d theory on a circle is naturally identified with the derived category of coherent sheaves on a resolution of X. It is shown that the BPS spectrum can be studied using 5d BPS quivers, which are the fractional-brane quivers for the singularity X.
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS
(2022)
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)
Article
Physics, Multidisciplinary
Cyril Closset, Michele Del Zotto, Vivek Saxena
