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Aspects of defects in 3d-3d correspondence (Q1636312)

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Language	Label	Description	Also known as
English	Aspects of defects in 3d-3d correspondence	scientific article

Statements

scholarly article

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Aspects of defects in 3d-3d correspondence (English)

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Masahito Yamazaki

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Journal of High Energy Physics

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publication date

12 June 2018

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full work available at URL

https://arxiv.org/abs/1510.05011

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zbMATH Keywords

Chern-Simons theories

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M-theory

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Wilson

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't Hooft and Polyakov loops

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MaRDI profile type

MaRDI publication profile

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Taming supersymmetric defects in 3d–3d correspondence

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Exact Results on $${\mathcal N}=2$$ Supersymmetric Gauge Theories

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\( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls

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Vortex counting and Lagrangian 3-manifolds

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Chern-Simons theory and S-duality

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Gauge theories labelled by three-manifolds

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4d quantum geometry from 3d supersymmetric gauge theory and holomorphic block

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Complex Chern-Simons from M5-branes on the squashed three-sphere

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3d Chern-Simons theory from M5-branes

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The superconformal index of the \((2,0)\) theory with defects

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Defects and quantum Seiberg-Witten geometry

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\(N=4\) dualities

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NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES

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Gauge theory loop operators and Liouville theory

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Loop and surface operators in \( \mathcal{N} = 2 \) gauge theory and Liouville modular geometry

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Hyperbolicity of partition function and quantum gravity

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Generalized volume conjecture and the \(A\)-polynomials: The Neumann-Zagier potential function as a classical limit of the partition function

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Exact results for perturbative Chern-Simons theory with complex gauge group

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Quantum Riemann surfaces in Chern-Simons theory

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K-decompositions and 3d gauge theories

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Tetrahedra of flags, volume and homology of SL(3)

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Gluing equations for \(\mathrm{PGL}(n, \mathbb{C})\)-representations of 3-manifolds

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The complex volume of \(\mathrm{SL}(n,\mathbb{C})\)-representations of 3-manifolds

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The symplectic properties of the \(\mathrm{PGL}(n,\mathbb{C})\)-gluing equations

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Holography of wrapped M5-branes and Chern-Simons theory

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Holography of 3d-3d correspondence at large N

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\(S\)-duality of boundary conditions in \({\mathcal N}=4\) super Yang-Mills theory

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Supersymmetric boundary conditions in \(\mathcal{N}=4\) super Yang-Mills theory

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RG domain walls and hybrid triangulations

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Quantization of Chern-Simons gauge theory with complex gauge group

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Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial

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3-manifolds and 3d indices

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Complex Chern-Simons theory at level \(k\) via the 3d-3d correspondence

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Exact results for Wilson loops in superconformal Chern-Simons theories with matter

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The exact superconformal R-symmetry extremizes Z

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Notes on SUSY gauge theories on three-sphere

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SUSY gauge theories on squashed three-spheres

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The complete superconformal index for \({\mathcal N}=6\) Chern-Simons theory

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Index for three dimensional superconformal field theories with general \(R\)-charge assignments

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3d-3d correspondence revisited

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QUANTUM DILOGARITHM

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Moduli spaces of local systems and higher Teichmüller theory

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Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory

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On skein relations in class S theories

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Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\)

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Cluster algebras and triangulated surfaces. I: Cluster complexes

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Wall-crossing, Hitchin systems, and the WKB approximation

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(1, 1)-knots via the mapping class group of the twice punctured torus

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Electric-magnetic duality in supersymmetric non-abelian gauge theories

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Network and Seiberg duality

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Bipartite field theories: from D-brane probes to scattering amplitudes

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Quivers, YBE and 3-manifolds

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New integrable models from the gauge/YBE correspondence

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Framed BPS states

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Webs on surfaces, rings of invariants, and clusters

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The virtue of defects in 4D gauge theories and 2D CFTs

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AGT on the S-duality wall

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Boundaries and defects of \( \mathcal{N}=4 \) SYM with 4 supercharges. Part I: Boundary/junction conditions

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Boundaries and defects of \( \mathcal{N}=4 \) SYM with 4 supercharges. Part II: Brane constructions and 3\(d\)\( \mathcal{N}=2 \) field theories

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Dynamics of \(N=2\) supersymmetric Chern-Simons theories

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\(3d\) dualities from \(4d\) dualities

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Exact results for supersymmetric abelian vortex loops in \(2 + 1\) dimensions

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Bootstrapping the superconformal index with surface defects

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3d partition function as overlap of wavefunctions

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The moduli space of vacua of \( \mathcal{N}=2 \) class \( \mathcal{S} \) theories

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Khovanov-Rozansky homology and topological strings

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Knot homology and refined Chern-Simons index

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Spontaneous compactification of seven-dimensional supergravity theories

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Wrapped M5-branes, consistent truncations and AdS/CMT

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The gravity dual of supersymmetric gauge theories on a squashed three-sphere

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The gravity dual of supersymmetric gauge theories on a biaxially squashed three-sphere

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Punctures from probe M5-branes and \( \mathcal{N} \) = 1 superconformal field theories

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The gravity duals of \( \mathcal{N}=2 \) superconformal field theories

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3D-partition functions on the sphere: exact evaluation and mirror symmetry

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From necklace quivers to the \(F\)-theorem, operator counting, and \(T(\operatorname{U}(N))\)

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Wilson loops in 5d \({\mathcal N=1}\) SCFTs and AdS/CFT

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Cluster algebras I: Foundations

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Cluster algebras, quiver representations and triangulated categories

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Cluster ensembles, quantization and the dilogarithm

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The quantum dilogarithm and representations of quantum cluster varieties

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Classical and quantum dilogarithm identities

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Identifiers

zbMATH Open document ID

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10.1007/JHEP10(2016)062

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1636312

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