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The supersymmetric index in four dimensions (Q4596374)

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scientific article; zbMATH DE number 6814546

Language	Label	Description	Also known as
English	The supersymmetric index in four dimensions	scientific article; zbMATH DE number 6814546

Statements

scholarly article

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The supersymmetric index in four dimensions (English)

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Leonardo Rastelli

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Shlomo S. Razamat

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Journal of Physics A: Mathematical and Theoretical

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publication date

1 December 2017

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full work available at URL

https://arxiv.org/abs/1608.02965

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zbMATH Keywords

supersymmetric index

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four dimensional

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sigma models

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MaRDI profile type

MaRDI publication profile

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Localization techniques in quantum field theories

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Localization of gauge theory on a four-sphere and supersymmetric Wilson loops

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${{{\mathcal N}}=2}$ SUSY gauge theories on S<sup>4</sup>

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An index for 4 dimensional super conformal theories

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Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories

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On the superconformal index of \(\mathcal{N} = 1\) IR fixed points. A holographic check

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Charging the superconformal index

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Rigid supersymmetric theories in curved superspace

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An introduction to supersymmetric field theories in curved space

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The Casimir energy in curved space and its supersymmetric counterpart

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Supersymmetric Casimir energy and the anomaly polynomial

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Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories

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Counting BPS operators in gauge theories: quivers, syzygies and plethystics

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The Hagedorn/deconfinement phase transition in weakly coupled large \(N\) gauge theories

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S-duality and 2d topological QFT

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

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Electric-magnetic duality in supersymmetric non-abelian gauge theories

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On the elliptic beta function

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Essays on the theory of elliptic hypergeometric functions

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Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

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Inversions of integral operators and elliptic beta integrals on root systems

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Exactly marginal deformations and global symmetries

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Superconformal indices for \({\mathcal N}=1\) theories with multiple duals

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Bootstrapping the superconformal index with surface defects

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2d index and surface operators

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RG fixed points and flows in SQCD with adjoints

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Elliptic hypergeometry of supersymmetric dualities

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Elliptic hypergeometric terms

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Elliptic hypergeometric functions and Calogero-Sutherland-type models

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Supersymmetric field theories on three-manifolds

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\(3d\) dualities from \(4d\) dualities for orthogonal groups

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

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SUSY gauge theories on squashed three-spheres

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Reducing the 4d index to the \(S^3\) partition function

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Localization on three-dimensional manifolds

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Counting gauge invariant operators in SQCD with classical gauge groups

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Gauge theories and Macdonald polynomials

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Down the rabbit hole with theories of class \( \mathcal{S} \)

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The Hilbert series of 3d ${\boldsymbol{\mathcal{N}}}=2$ Yang–Mills theories with vectorlike matter

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Hilbert series for theories with Aharony duals

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\( \mathcal{N}=1 \) theories of class \( {\mathcal{S}}_k \)

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The Superconformal Index of Theories of Class $$\mathcal {S}$$

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Surface defects, the superconformal index and \(q\)-deformed Yang-Mills

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The Hagedorn transition, deconfinement and \( N=4\) SYM theory

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Superconformal indices, Sasaki-Einstein manifolds, and cyclic homologies

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Factorisation and holomorphic blocks in 4d

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Factorisation of \( \mathcal{N} = 2 \) theories on the squashed 3-sphere

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Global properties of supersymmetric theories and the lens space

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Elliptic beta integrals and solvable models of statistical mechanics

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New integrable models from the gauge/YBE correspondence

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On S-duality of the superconformal index on Lens spaces and 2d TQFT

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S-duality and the \( \mathcal{N}=2 \) Lens space index

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Surface defects as transfer matrices

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Identifiers

zbMATH Open document ID

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10.1088/1751-8121/aa76a6

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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:4596374

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