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Results: 17
Blocks and vortices in the 3d ADHM quiver gauge theory
S Crew, N Dorey, D Zhang
Mar 25, 2021
We study the hemisphere partition function of a three-dimensional $\mathcal{N}=4$ supersymmetric $U(N)$ gauge theory with one adjoint and one fundamental hypermultiplet -- the ADHM quiver theory. In particular, we propose a...
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Vortex counting and the quantum Hall effect
Edward Walton
Feb 19, 2022
We provide evidence for conjectural dualities between nonrelativistic Chern-Simons-matter theories and theories of (fractional, nonAbelian) quantum Hall fluids in $2+1$ dimensions. At low temperatures, the dynamics...
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Boundaries, Vermas and factorisation
Abstract: We revisit the factorisation of supersymmetric partition functions of 3d N = 4 gauge theories. The building blocks are hemisphere partition functions of a class of UV N = (2, 2) boundary conditions that mimic the...
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Factorisation of 3d N = 4 twisted indices and the geometry of vortex moduli space
Abstract: We study the twisted indices of N = 4 supersymmetric gauge theories in three dimensions on spatial S2 with an angular momentum refinement. We demonstrate factorisation of the index into holomorphic blocks for the...
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Anomalies for anomalous symmetries
A Karasik
Feb 10, 2022
Abstract 4d gauge theories with massless fermions typically have axial U(1) transformations that suffer from the ABJ anomaly. One can modify the theory of...
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The quantum origins of non-topological vortices
Carl Turner
Mar 31, 2021
Abstract: We review some unusual facts about the theory of non-relativistic anyons in 2+1 dimensions, and use it as a laboratory to explore how interesting features of non­relativistic field theory correspond to those of...
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Boundaries, Vermas and factorisation
Abstract: We revisit the factorisation of supersymmetric partition functions of 3d N = 4 gauge theories. The building blocks are hemisphere partition functions of a class of UV N = (2, 2) boundary conditions that mimic the...
Published by:
Factorisation of 3d N = 4 twisted indices and the geometry of vortex moduli space
S Crew, N Dorey, D Zhang
Aug 11, 2021
We study the twisted indices of $\mathcal{N}=4$ supersymmetric gauge theories in three dimensions on spatial $S^{2}$ with an angular momentum refinement. We demonstrate factorisation of the index into holomorphic blocks for...
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The quantum origins of non-topological vortices
Carl Turner
Jun 06, 2020
Abstract: We review some unusual facts about the theory of non-relativistic anyons in 2+1 dimensions, and use it as a laboratory to explore how interesting features of non­relativistic field theory correspond to those of...
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Iterated ϕ <sup>4</sup> kinks
A first order equation for a static ${\phi}^4$ kink in the presence of an impurity is extended into an iterative scheme. At the first iteration, the solution is the standard kink, but at the second iteration the kink...
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Boundaries, Vermas and factorisation
M Bullimore, S Crew, D Zhang
Jul 28, 2021
We revisit the factorisation of supersymmetric partition functions of 3d $\mathcal{N}=4$ gauge theories. The building blocks are hemisphere partition functions of a class of UV $\mathcal{N}=(2,2)$ boundary conditions that...
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Factorisation of 3d N = 4 twisted indices and the geometry of vortex moduli space
Abstract: We study the twisted indices of N = 4 supersymmetric gauge theories in three dimensions on spatial S2 with an angular momentum refinement. We demonstrate factorisation of the index into holomorphic blocks for the...
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Magnetic charges in supergravity
Bilyana L. Tomova
Dec 25, 2022
In this paper we study the dual charges of N = 1 supergravity in asymptotically flat space-time. The action considered is the usual supergravity action with a topological contribution. This is the Nieh-Yan term and the magnetic...
Anomalies for anomalous symmetries
A Karasik
May 27, 2022
Abstract 4d gauge theories with massless fermions typically have axial U(1) transformations that suffer from the ABJ anomaly. One can modify the theory of...
Published by: