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The knots-quivers correspondence states that various characteristics of a knot are encoded in the corresponding quiver and the moduli space of its representations. However, this correspondence is not a bijection: more than one quiver may be…

High Energy Physics - Theory · Physics 2021-10-20 Jakub Jankowski , Piotr Kucharski , Hélder Larraguível , Dmitry Noshchenko , Piotr Sułkowski

We discuss certain structural analogies between supersymmetric quiver gauge theories and lattice models leading to fracton phases of matter. In particular, classes of quiver models can be viewed as lattice models having sub-system…

High Energy Physics - Theory · Physics 2021-10-04 Shlomo S. Razamat

We introduce the notion of a symplectic capacity relative to a coisotropic submanifold of a symplectic manifold, and we construct two examples of such capacities through modifications of the Hofer-Zehnder capacity. As a consequence, we…

Symplectic Geometry · Mathematics 2022-09-28 Samuel Lisi , Antonio Rieser

Three-dimensional supersymmetric gauge theories with eight supercharges possess a unique duality known as 3d mirror symmetry. Under this correspondence, the Coulomb branch of one theory is equivalent to the Higgs branch of its mirror dual,…

High Energy Physics - Theory · Physics 2026-03-31 Leyi Jiang , Jazz E. Z. Ooi , Richard Stone , Zhenghao Zhong

The paper deals with braided Clifford algebras, understood as Chevalley-Kahler deformations of braided exterior algebras. It is shown that Clifford algebras based on involutive braids can be naturally endowed with a braided quantum group…

q-alg · Mathematics 2008-02-03 Mico Durdevic

We present a novel parabolic reflector system capable of generating a broader class of shapes beyond canonical parabolas. Using a discretized framework, we construct meshes corresponding to key families of developable surfaces, including…

Soft Condensed Matter · Physics 2026-05-26 Clark C. Addis , David M. Boston , Hunter Pruett , Phillip Buskohl , Andres F. Arrieta

Origami morphing, obtained with patches of piecewise smooth isometries separated by straight fold lines, is an exquisite art that has already received considerable attention in the mathematics and mechanics literature. Curved fold lines,…

Soft Condensed Matter · Physics 2024-12-25 Antonio DeSimone , Luciano Teresi

We show how to construct a resolution of symplectic orbifolds obtained as quotients of presymplectic manifolds with a torus action. As a corollary, this allows us to desingularise generic symplectic quotients. Given a manifold with a…

Symplectic Geometry · Mathematics 2009-07-20 K. Niederkrüger , F. Pasquotto

Prime power fold cyclic branched covers along smoothly slice knots all bound rational homology balls. This phenomenon, however, does not characterize slice knots. In this paper, we give a new construction of non-slice knots that have the…

Geometric Topology · Mathematics 2022-01-05 Paolo Aceto , Jeffrey Meier , Allison N. Miller , Maggie Miller , JungHwan Park , András I. Stipsicz

In three-dimensional gauge theories, monopole operators create and destroy vortices. We explore this idea in the context of 3d N=4 gauge theories in the presence of an Omega-background. In this case, monopole operators generate a…

High Energy Physics - Theory · Physics 2018-02-01 Mathew Bullimore , Tudor Dimofte , Davide Gaiotto , Justin Hilburn , Hee-Cheol Kim

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

High Energy Physics - Theory · Physics 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

We analyze exactly marginal deformations of 3d N=4 Lagrangian gauge theories, especially mixed-branch operators with both electric and magnetic charges. These mixed-branch moduli can either belong to products of electric and magnetic…

High Energy Physics - Theory · Physics 2024-01-17 Ioannis Lavdas , Bruno Le Floch

In this work we propose new non-commutative gauge theories that describe the dynamics of branes localized along twisted conjugacy classes on group manifolds. Our proposal is based on a careful analysis of the exact microscopic solution and…

High Energy Physics - Theory · Physics 2016-09-06 Anton Yu. Alekseev , Stefan Fredenhagen , Thomas Quella , Volker Schomerus

We compare the integral category O of shifted affine quantum groups of symmetric and non symmetric types. To do so we compute the K-theoretic analog of the Coulomb branches with symmetrizers introduced by Nakajima and Weekes. This yields an…

Representation Theory · Mathematics 2025-12-30 Michela Varagnolo , Eric Vasserot

Recently it has been shown that D-branes in orientifolds are not always described by equivariant Real K-theory. In this paper we define a previously unstudied twisted version of equivariant Real K-theory which gives the D-brane spectrum for…

High Energy Physics - Theory · Physics 2024-10-22 V. Braun , B. Stefanski

We define the slant sum of quiver gauge theories, a gluing on the underlying quivers that identifies a gauge vertex with a framing vertex. Under some mild assumptions, we relate torus fixed points on the corresponding Higgs branches, which…

Representation Theory · Mathematics 2026-03-17 Hunter Dinkins , Vasily Krylov , Reese Lance

Ordinarily, quiver varieties are constructed as moduli spaces of quiver representations in the category of vector spaces. It is also natural to consider quiver representations in a richer category, namely that of vector bundles on some…

Algebraic Geometry · Mathematics 2018-07-06 Steven Rayan , Evan Sundbo

We study orientifold projections of families of four-dimensional $\mathcal{N}=1$ toric quiver gauge theories. We restrict to quivers that have the unusual property of being associated with multiple periodic planar diagrams which give rise,…

High Energy Physics - Theory · Physics 2023-06-26 Antonio Amariti , Massimo Bianchi , Marco Fazzi , Salvo Mancani , Fabio Riccioni , Simone Rota

Interesting non-linear functions on the phase spaces of classical field theories can never be quantized immediately because the basic fields of the theory become operator valued distributions. Therefore, one is usually forced to find a…

High Energy Physics - Theory · Physics 2009-10-31 T. Thiemann

We present the simplest non-abelian version of Seiberg-Witten theory: Quaternionic monopoles. These monopoles are associated with Spin^h(4)-structures on 4-manifolds and form finite-dimensional moduli spaces. On a Kahler surface the…

alg-geom · Mathematics 2009-10-28 Ch. Okonek , A. Teleman
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