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Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
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abstract
We propose an explanation via string theory of the correspondence between the Coulomb branch of certain three-dimensional supersymmetric gauge theories and certain moduli spaces of magnetic monopoles. The same construction also gives an explanation, via $SL(2,\Z)$ duality of Type IIB superstrings, of the recently discovered ``mirror symmetry'' in three dimensions. New phase transitions in three dimensions as well as new infrared fixed points and even new coupling constants not present in the known Lagrangians are predicted from the string theory construction. An important role in the construction is played by a novel aspect of brane dynamics in which a third brane is created when two branes cross.
Forward citations
Cited by 34 Pith papers
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Towards Generalized Dimers for GTPs: $\mathcal{N}=2$ Fractional Branes at Infinite Coupling
N=2 strip condensation — collapsing parallel zig-zag strips in brane tilings — reproduces the expected number of gauge groups and yields GTP quivers related to toric ones by relevant deformations.
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5d Higgs Branches: Stratifications from Geometry
Dynamical complex structure deformations of non-compact Calabi-Yau threefolds with non-isolated singularities reproduce the full Higgs branch stratification of 5d SCFTs, matching magnetic quiver predictions.
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M-theory geometries from five-brane webs, seven-branes, and T-branes
T-dualizing D5/D7 junctions yields smooth D6 curves whose spectral data (from coherent sheaves) give explicit complex-structure deformations of the dual M-theory threefold, with s-rule violations appearing as poles.
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Algorithmic Dualization of Unitary Circular Quivers
Develops an algorithmic construction of the full SL(2,Z) duality web for unitary circular quivers in 3d N=4 theories using QFT blocks, deriving mirror symmetry for good cases and providing index-matching evidence for ...
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The Art of Networking: Networks of Trivalent 10d Heterotic Junctions
The paper constructs arbitrary networks of 10d non-tachyonic heterotic string theories via cobordism-implied junctions and gives worldsheet realizations for graphs, higher-dimensional networks, and compact configurati...
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Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM
A massive deformation of the T[SU(N)] theory is identified as the 3d SCFT realizing the RG-wall and half-BPS boundaries in 4d N=2 SU(N) SYM.
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Meromorphic amplitudes from 3-dimensional supersymmetry
Coon amplitude equals 3d N=2 half-index of XYZ model with boundary conditions; IR flow gives Veneziano amplitude, and elliptic completion of q^ST yields a meromorphic positive version.
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$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves
Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.
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The CFT Distance Conjecture and Tensionless String Limits in $\mathcal N=2$ Quiver Gauge Theories
In N=2 SU quiver theories the large-N Hagedorn temperature depends only on quiver length for linear cases and equals that of N=4 SYM for holographic quivers, with a universal lower bound of 1/sqrt(2) on the exponentia...
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Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$
In AdS5×S5, non-Abelian SO(6) symmetry operators are realized by hanging D5-brane–KK-monopole bound states, matching the Gauss-law operators from the low-energy supergravity action.
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Dimers for Relativistic Toda Models with Reflective Boundaries
Dimer graphs are constructed for relativistic Toda chains of listed Lie algebra types, and Seiberg-Witten curves of 5d N=1 pure SYM for group G are identified as spectral curves of the dual Toda chain for G^vee.
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Orthosymplectic Chern-Simons Matter Theories: Global Forms, Dualities, and Vacua
A magnetic quiver framework is introduced to extract maximal branches and global forms of 3d orthosymplectic Chern-Simons matter theories from brane configurations, with global data fixed via indices and Hilbert series.
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Planar Abelian Duals of Chern-Simons QCD
Proposes a new family of infrared dualities between non-Abelian 3d Chern-Simons QCD and Abelian planar quiver theories, with a bosonization rule trading flavors for quiver columns.
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S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
Boundary Wilson and 't Hooft line two-point functions in N=4 SYM match exactly under S-duality, with closed forms from Macdonald polynomials.
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Quantized Coulomb branch of 4d $\mathcal{N}=2$ $Sp(N)$ gauge theory and spherical DAHA of $(C_N^{\vee}, C_N)$-type
Quantized Coulomb branch of 4d N=2 Sp(N) theory with given matter content matches spherical DAHA of (C_N^vee, C_N) type, proven for N=1 and conjectured for higher N with 't Hooft loop evidence.
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Remarks on the Higgs Branch of 5d Conformal Matter
The Higgs branches of 5d conformal matter atoms and molecules are computed via magnetic quivers and class-S circle reductions, with matching dimensions across the two methods.
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Five-brane webs, 3d $\mathcal{N}=2$ theories and quantum curves
The Newton polygon of the quantum curve for a 3d N=2 brane configuration is conjectured to equal the toric diagram dual to its (p,q) 5-brane web, with derivations for Lagrangian cases and new matrix models for p>=2.
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On the Origin of Toric Diagrams
A field's scaling dimension equals the number of perfect matchings at the chosen origin that contain it, making the gauge-theory Hilbert series equal the Ehrhart series of the dual polytope.
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Thermodynamic limit for SO(2N) gauge theories with spinors/conjugate spinors
The distinction between spinor and conjugate spinor matter in 5D SO(2N) gauge theories manifests as different boundary conditions on the Seiberg-Witten curve at O5-plane positions (w=±1).
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Chiralization of Quiver Varieties
Constructs two vertex superalgebras chiralizing extended quiver varieties and establishes a map between them with vanishing and injectivity results under technical assumptions.
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Factorized Quantum Curves and Minuscule Vertices in 3D Duality Cascades with FI Parameters
Vertices of fundamental domains for del Pezzo quantum curves with FI parameters are realized as factorized curves from 5-branes dressed by FI parameters, matching minuscule weights.
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Overlooking 3d dualities from mezzanines and balconies
New 3d dualities are obtained by T-duality reduction of 4d mezzanine and balcony models, with partition function matching after double scaling limit and a proof of required confining dualities via tensor deconfinement.
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A class of half-BPS boundary conditions for $A_{K-1}$ circular quivers
Characterizes solutions to BPS equations for D4-branes ending on boundary D6-branes in A_{K-1} circular quivers, finding a winding phenomenon absent in linear quivers and proposing the maximal-winding case as S-dual t...
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A missing link: Brane networks and the Cobordism Conjecture
Defects tied to discrete symmetries via bordism groups Ω^ξ_2(BG) and homology H_2(BG;Z) are codimension-two branes that participate in networks with junctions, expanding the Cobordism Conjecture's predictions in strin...
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A Tale of Two Orbits: Non-Simply Laced Mirror
A 3D N=4 gauge theory is built via U(1) gauging whose Higgs branch matches a known symplectic singularity, with a proposed non-simply laced magnetic quiver mirror validated through standard 3D mirror symmetry tests.
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Complexity and Operator Growth in Holographic 6d SCFTs
In holographic 6d N=(1,0) SCFTs, generalized proper momentum of infalling particles grows linearly at late times, with early dynamics modified by SU(2)_R charge and quiver spreading.
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Continuous symmetries and charge measurement of boundary operators in holography
Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...
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Bootstrapping mirror pairs: The beginning of the end
A growth-and-fusion algorithm completes a quartet of quiver operations that bootstrap 3d mirror pairs, demonstrated on a new family of circular 'sunshine' quivers.
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Quiver Yangians as Coulomb branch algebras
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.
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Relative Quantum Gravity: Localized Gravity and the Swampland
Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.
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Time-reversal invariant TQFTs from self-mirror symmetric SCFTs
Self-mirror symmetric Abelian 3d N=4 SCFTs deform to time-reversal invariant Abelian Chern-Simons theories, with a charge-matrix constraint Q Omega Q^T = 0 governing the correspondence.
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Linking defects via AdS/CFT holography
A hanging D5/anti-D5 pair in a deformed AdS5 x S5 background is proposed as the topological defect that measures the U(1) charge of determinant operators.
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A Crash Course in Supersymmetric Field Theory Across Dimensions
Pedagogical crash-course notes on supersymmetric field theory across 2–10 dimensions, organized around recurring structures such as holomorphy, dualities, indices, BPS data, and anomalies.
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Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.
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