The superconformal index of the \(E_{6}\) SCFT
From MaRDI portal
Publication:2015895
DOI10.1007/JHEP08(2010)107zbMath1290.81064arXiv1003.4244OpenAlexW1987743612MaRDI QIDQ2015895
Abhijit Gadde, Leonardo Rastelli, Shlomo S. Razamat, Wenbin Yan
Publication date: 24 June 2014
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.4244
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45)
Related Items
2d index and surface operators, Hilbert series for moduli spaces of two instantons, 2d TQFT structure of the superconformal indices with outer-automorphism twists, Infrared computations of defect Schur indices, \( \mathcal{N} =1\) deformations and RG flows of \( \mathcal{N} =2\) SCFTs. II: Non-principal deformations, (0,4) dualities, High-temperature asymptotics of supersymmetric partition functions, BPS index and 4d \( \mathcal{N} =2\) superconformal field theories, Chiral algebras of class \( \mathcal{S} \), Toda 3-point functions from topological strings, \( \mathcal{N}=1 \) theories of class \( {\mathcal{S}}_k \), High-temperature expansion of supersymmetric partition functions, Supersymmetric Casimir energy and the anomaly polynomial, Topological field theory amplitudes for \(A_{N-1}\) fibration, Exceptional indices, A ``Lagrangian for the \(E_7\) superconformal theory, M5-branes, toric diagrams and gauge theory duality, An \(\mathcal{N} = 1\) Lagrangian for the rank 1 \( E_6\) superconformal theory, Elliptic hypergeometry of supersymmetric dualities. II: Orthogonal groups, knots, and vortices, Peculiar index relations, 2D TQFT, and universality of SUSY enhancement, \(\mathcal{N} = 1\) SCFTs from brane monodromy, Tinkertoys for Gaiotto duality, Tri-vertices and SU(2)'s, \( \mathcal{N}=1 \) deformations and RG flows of \(\mathcal{N}=2 \) SCFTs, Supersymmetric Casimir energy and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{Z}\right) \) transformations, Vanishing short multiplets in rank one 4d/5d SCFTs, A tale of 2-groups: \(D_p(\mathrm{USp}(2N))\) theories, Superconformal indices of \({{\mathcal N}=4}\) SYM field theories, Gauge theories and Macdonald polynomials, \(\mathcal{N} = 2 \;\) \(S\)-duality revisited, More three dimensional mirror pairs, Multidimensional matrix inversions and elliptic hypergeometric series on root systems, Rigid supersymmetric theories in curved superspace, Superconformal indices of three-dimensional theories related by mirror symmetry, 4D and 2D superconformal index with surface operator, 3d partition function as overlap of wavefunctions, The Hilbert series of the one instanton moduli space, On the superconformal index of \(\mathcal{N} = 1\) IR fixed points. A holographic check, Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality, Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality, 4d \( \mathcal{N}=1 \) from 6d (1, 0), Argyres-Douglas matter and S-duality. II, A \& B model approaches to surface operators and Toda thoeries, Mirrors of 3d Sicilian theories, BPS states in the Minahan-Nemeschansky \({E_6}\) theory, Global properties of supersymmetric theories and the lens space, Localization of \( \mathcal{N} = 4 \) superconformal field theory on \(S^{1} {\times} S^{3}\) and index, On the \(\mathcal{N}=2\) superconformal index and eigenfunctions of the elliptic RS model, An \(\mathcal{N} = 1\) Lagrangian for an \(\mathcal{N} = 3\) SCFT, The Superconformal Index of Theories of Class $$\mathcal {S}$$, Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions, Counting exceptional instantons, \(N=2\) generalized superconformal quiver gauge theory, On a modular property of \( \mathcal{N}=2 \) superconformal theories in four dimensions, Reducing the 4d index to the \(S^3\) partition function, New \( \mathcal{N} = 1\) dualities from orientifold transitions part I: field theory, Surface defects, the superconformal index and \(q\)-deformed Yang-Mills, Instantons from blow-up, Deconfining \(\mathcal{N} = 2\) SCFTs or the art of brane bending, A slow review of the AGT correspondence
Cites Work
- S-duality and 2d topological QFT
- S-duality in \(N = 2\) supersymmetric gauge theories
- An elliptic hypergeometric integral with \(W(F_4)\) symmetry
- Elliptic hypergeometry of supersymmetric dualities
- Argyres-Seiberg duality and the Higgs branch
- Superconformal fixed points with \(E_n\) global symmetry
- Seiberg-Witten prepotential from instanton counting
- Inversions of integral operators and elliptic beta integrals on root systems
- Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories
- Transformations of elliptic hypergeometric integrals
- Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories
- Exceptional groups from open strings
- On short and semi-short representations for four-dimensional superconformal symmetry.
- Elliptic beta integrals and modular hypergeometric sums: An overview.
- An \(N=2\) superconformal fixed point with \(E_6\) global symmetry
- Superconformal indices for \({\mathcal N}=1\) theories with multiple duals
- Liouville correlation functions from four-dimensional gauge theories
- An index for 4 dimensional super conformal theories
- On the elliptic beta function
- Essays on the theory of elliptic hypergeometric functions