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
Samuel Crew, Nick Dorey, Daniel Zhang
Summary: The study focuses on the hemisphere partition function of a three-dimensional N = 4 supersymmetric U(N) gauge theory, proposing UV boundary conditions that recover the characters of Verma modules of quantised chiral rings and realize blocks gluing to the partition functions of the theory on closed three-manifolds. It also investigates the geometry of the vortex moduli space, the interpretation of vortex partition functions as equivariant indices of quasimaps, and explores relations with topological string theory and equivariant quantum K-theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Bilyana L. Tomova
Summary: This paper studies the dual charges of N = 1 supergravity in asymptotically flat space-time. By using methods of the covariant phase space formalism, the charges conjugate to supersymmetry, diffeomorphism, and Lorentz transformations are constructed. The additional term in the action leads to new contributions to these charges. It is found that the asymptotic symmetry group for supergravity only includes globally well-defined super-rotations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Jie Gu, Babak Haghighat, Albrecht Klemm, Kaiwen Sun, Xin Wang
Summary: This paper addresses the computation of elliptic genera for 6d (1, 0) SCFTs, introducing blowup equations and various computational techniques. The unity and vanishing blowup equations are classified, with a focus on rank one theories. Techniques such as recursion formulas, orbit expansions, and BPS expansions are developed, along with a gluing rule for higher-rank theories to derive blowup equations. Examples of elliptic blowup equations are explicitly given for specific cases.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Norton Lee, Nikita Nekrasov
Summary: By exploiting the relation between supersymmetric gauge theories and quantum spin systems, an explicit formula for the Jost function of the N site sl(2)X X X spin chain and the SLN Gaudin system has been found. Additionally, relationships between the spin chain commuting Hamiltonians and the twisted chiral ring of gauge theory have been established using non-perturbative Dyson-Schwinger equations. The research also explores the chamber dependence of the supersymmetric partition function and the expectation value of surface defects, offering new evidence for the AGT conjecture.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sophia K. Domokos, Andrew B. Royston
Summary: In this paper, we study defects in four-dimensional N=4 super Yang-Mills and provide the full R-symmetry-covariant supersymmetry variations as well as the algebra of the corresponding supercharges. Our results show that magnetically charged finite-energy field configurations are solutions to the extended Bogomolny equations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Diego Delmastro, Jaume Gomis
Summary: 4dN = 1 super Yang-Mills theory with simply connected gauge group G has multiple gapped vacua and stable domain walls connecting them, supporting specific topological quantum field theories. Matching UV and IR partition functions provides evidence for the domain wall theories proposed.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Zhihao Duan, Dongwook Ghim, Piljin Yi
Summary: This study focuses on BPS quivers for D = 5 theories, compactified on a circle and engineered over local Calabi-Yau 3-folds. It discusses the challenges faced in known machineries and proposes mathematical theorems to address the difficulties. The study finds that for Abelian quivers, the counting can be reduced to a geometric one, while for non-Abelian quivers, the cohomology approach fails.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Qiang Jia, Piljin Yi
Summary: We study the infrared physics of 5d N = 1 Yang-Mills theories compactified on S-1 and discuss the global structures of Coulombic moduli spaces, wall-crossings, and elliptic genera of magnetic BPS strings. We also provide a general field theory proof of the odd shift of electric charge on Sp(k)(pi) instanton solitons.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Gannon E. Lenhart, Andrew B. Royston, Keaton E. Wright
Summary: This study presents simulations and analytic treatments of interactions between one magnetic monopole and multiple magnetic singularities, providing insights into energy density and trajectories through numerical results and explicit solutions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Antoine Bourget, Amihay Hanany, Dominik Miketa
Summary: We study two types of discrete operations on Coulomb branches of 3dN = 4 quiver gauge theories, generalizing previous work and introducing novel wreathed quiver theories. We also study quiver folding which produces Coulomb branches of non-simply laced quivers, explicitly describing them in terms of generators and relations including mass deformations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Joonho Kim, Seok Kim, Kimyeong Lee
Summary: This study focuses on 6d (1, 0) superconformal field theories with SU(3) and SU(2) gauge symmetries, particularly looking at the 2d N = (0, 4) gauge theories describing self-dual strings. The research finds anomaly-free gauge theories for self-dual strings and calculates their elliptic genera.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ioannis Lavdas, Bruno Le Floch
Summary: We analyze the exact marginal deformations of 3d N = 4 Lagrangian gauge theories, specifically focusing on mixed-branch operators that possess both electric and magnetic charges. These mixed-branch moduli can either belong to products of electric and magnetic current supermultiplets, or be single-trace moduli that cannot be factorized. We find that 3d N = 4 theories described by genus g quivers with nonabelian unitary gauge groups have exactly g single-trace mixed moduli, which preserve the global flavour symmetries.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Mathew Bullimore, Samuel Crew, Daniel Zhang
Summary: In this study, the factorisation of supersymmetric partition functions of 3D N = 4 gauge theories was revisited. It was found that hemisphere partition functions have connections with characters of lowest weight Verma modules.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Anton F. Faedo, Carlos Hoyos, Javier G. Subils
Summary: In this study, we analyze the phase diagram of a three-dimensional confined N = 1 supersymmetric U(N) x U(N + M) theory and find the relation between the global U(1) symmetry and the charge of magnetic monopoles. We introduce both temperature and an external magnetic field, and observe deconfinement phase transitions as either of these parameters is increased, suggesting monopole condensation as a possible mechanism for confinement. Moreover, we discover a rich structure in the phase diagram, including a second-order transition as the magnetic field increases and a triple point and a critical point where a line of first-order transitions terminates.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)