Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\)
type: Item
instance of: scholarly article
title: Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\)
zbMATH Open document ID: 1431.81148
DOI: 10.1007/JHEP12(2019)147
author: Pietro Longhi
author: Fabrizio Nieri
author: Antonio Pittelli
published in: Journal of High Energy Physics
publication date: 2020-03-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/1906.02051
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 81T10
zbMATH DE Number: 7176481
zbMATH Keywords: supersymmetric gauge theory
zbMATH Keywords: boundary quantum field theory
zbMATH Keywords: differential and algebraic geometry
MaRDI profile type: Publication
arXiv ID: 1906.02051
Wikidata QID: Q125965811
cites work: Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
cites work: Q4270937
cites work: D-particle bound states and generalized instantons
cites work: Integrating over Higgs branches
cites work: Issues in topological gauge theory
cites work: Seiberg-Witten prepotential from instanton counting
cites work: Q5482632
cites work: New dualities of supersymmetric gauge theories
cites work: Introduction to localization in quantum field theory
cites work: On \(F\)-term contribution to effective action
cites work: 2d partition function in \(\Omega\)-background and vortex/instanton correspondence
cites work: Exact results for boundaries and domain walls in 2d supersymmetric theories
cites work: Exact results in supersymmetric field theories on manifolds with boundaries
cites work: Localization of three-dimensional $\mathcal{N}=2$ supersymmetric theories on $S^1 \times D^2$
cites work: Factorising the 3D topologically twisted index
cites work: Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds
cites work: Boundary conditions and localization on AdS. I.
cites work: Supersymmetric localization of refined chiral multiplets on topologically twisted \(H^2 \times S^1\)
cites work: Rigid supersymmetric theories in curved superspace
cites work: Exploring curved superspace
cites work: Supersymmetry on curved spaces and holography
cites work: The geometry of supersymmetric partition functions
cites work: Supersymmetric field theories on three-manifolds
cites work: Factorisation and holomorphic blocks in 4d
cites work: Supersymmetric partition functions and the three-dimensional A-twist
cites work: Seifert fibering operators in 3d \( \mathcal{N}=2 \) theories
cites work: \( \mathcal{N} =1 \) supersymmetric indices and the four-dimensional A-model
cites work: Exact results for Wilson loops in superconformal Chern-Simons theories with matter
cites work: Notes on SUSY gauge theories on three-sphere
cites work: SUSY gauge theories on squashed three-spheres
cites work: Index for three dimensional superconformal field theories with general \(R\)-charge assignments
cites work: \(S\)\^{}\{3\}/Z\_{}\{\(n\)\} partition function and dualities
cites work: Localization on three-manifolds
cites work: A topologically twisted index for three-dimensional supersymmetric theories
cites work: Comments on twisted indices in 3d supersymmetric gauge theories
cites work: Holomorphic blocks in three dimensions
cites work: Topological--anti-topological fusion.
cites work: \(tt^{*}\) geometry in 3 and 4 dimensions
cites work: Factorisation of \( \mathcal{N} = 2 \) theories on the squashed 3-sphere
cites work: 3-manifolds and 3d indices
cites work: 3d and 5d gauge theory partition functions as \(q\)-deformed CFT correlators
cites work: Complex Chern-Simons theory at level \(k\) via the 3d-3d correspondence
cites work: Four-dimensional superconformal index reloaded
cites work: Global properties of supersymmetric theories and the lens space
cites work: On the reduction of 4d \( \mathcal{N}=1 \) theories on \( {\mathbb{S}}^2 \)
cites work: Supersymmetric partition functions on Riemann surfaces
cites work: Q3652085
cites work: Quantum Integrability and Supersymmetric Vacua
cites work: Fivebranes and 4-Manifolds
cites work: Q2949056
cites work: \( \mathcal{N}=2\) supersymmetric field theories on 3-manifolds with A-type boundaries
cites work: On supersymmetry, boundary actions and brane charges
cites work: Dual boundary conditions in 3d SCFT's
cites work: Cohomological localization of Chern-Simons theory
cites work: Elliptic genera of two-dimensional \({\mathcal{N} = 2}\) gauge theories with rank-one gauge groups
cites work: Elliptic genera of 2d \(\mathcal N = 2\) gauge theories
cites work: The equivariant A-twist and gauged linear sigma models on the two-sphere
cites work: Superspace. One thousand and one lessons in supersymmetry. With a foreword by David Pines
cites work: The energy-momentum multiplet of supersymmetric defect field theories
cites work: Defect multiplets of \(\mathcal{N}=1 \) supersymmetry in 4d

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Spin(7)-manifolds as generalized connected sums and 3d \( \mathcal{N}=1 \) theories

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: An \( \mathcal{N}=1 \) 3d-3d correspondence

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: \( \mathcal{N} = 1\) dualities in 2+1 dimensions

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Partition functions of \(\mathcal N=(2,2)\) gauge theories on \(S^2\) and vortices

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Exact results in \(D = 2\) supersymmetric gauge theories

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Higgs branch localization of 3d \(\mathcal{N} = 2\) theories

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: 5d Higgs branch localization, Seiberg-Witten equations and contact geometry

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Ellipsoid partition function from Seiberg-Witten monopoles

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cites work: Intersecting surface defects and instanton partition functions

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cites work: Twisting with a flip (The art of pestunization)

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: \( \mathcal{N}=2 \) supersymmetric gauge theory on connected sums of \(S^{2} \times S^2\)

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Review of localization in geometry

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Review of localization for 5d supersymmetric gauge theories

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Integrable lattice models from gauge theory

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Gauge Theory and Integrability, I

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Gauge theory and integrability. II

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Cardy formulae for SUSY theories in \(d = 4\) and \(d= 6\)

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Cardy formula for 4d SUSY theories and localization

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Comments on the Casimir energy in supersymmetric field theories

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cites work: The Casimir energy in curved space and its supersymmetric counterpart

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Holographic renormalization and supersymmetry

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Supersymmetric Casimir energy and the anomaly polynomial

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Supersymmetric Casimir energy and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{Z}\right) \) transformations

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: High-temperature asymptotics of supersymmetric partition functions

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cites work: 't Hooft anomalies and the holomorphy of supersymmetric partition functions

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cites work: A gerbe for the elliptic gamma function

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cites work: The elliptic gamma function and \(\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3\).

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Theta hypergeometric integrals

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Three-dimensional dualities with bosons and fermions

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cites work: More on Gopakumar-Vafa formula: coefficients \(\mathcal F_0\) and \(\mathcal F_1\)

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Comments on \( \mathcal{N} = (2, 2)\) supersymmetry on two-manifolds

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: 2d index and surface operators

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cites work: Deconstructing defects

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cites work: Elliptic genus derivation of 4d holomorphic blocks

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

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: \(S\)-duality of boundary conditions in \({\mathcal N}=4\) super Yang-Mills theory

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Abelian dualities of \(\mathcal{N} = (0, 4)\) boundary conditions

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: Gauge theories labelled by three-manifolds

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cites work: Chern-Simons theory and S-duality

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cites work: An elliptic Virasoro symmetry in 6d

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cites work: Elliptic modular double and 4d partition functions

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cites work: Quiver elliptic W-algebras

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cites work: \(N=4\) dualities

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cites work: Defects and quantum Seiberg-Witten geometry

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cites work: Bootstrapping the superconformal index with surface defects

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cites work: On the \(\mathcal{N}=2\) superconformal index and eigenfunctions of the elliptic RS model

Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) (cites work)
cites work: \( \mathcal{N}=1 \) theories of class \( {\mathcal{S}}_k \)

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cites work: Q3664016

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cites work: The modular properties and the integral representations of the multiple elliptic gamma functions

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cites work: Shintani-Barnes zeta and gamma functions