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20122026
most cited3d & 5d gauge theory partition functions as q-deformed CFT correlators

78 citations · 400 across the 15 of their papers we have counts for

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17 papers · 1 filter

hep-th2026

Localization, Factorization and Dualities for Elliptic Kernels

Alessio Fontanarossa, Fabrizio Nieri, Antonio Pittelli

We study the exact partition function of 4d supersymmetric gauge theories on a torus times a cylinder , where is a finite interval carr…

hep-th2025

Trace Formulas for Deformed W-Algebras

Fabrizio Nieri

We investigate trace formulas in -deformed W-algebras, highlighting a novel connection to the modular double of -deformed W-algebras. In particular, we s…

hep-th2022

Defects at the Intersection: the Supergroup Side

Fabrizio Nieri

We consider two seemingly different theories in the -background: one arises upon the most generic Higgsing of a 5d gauge theory coupled to matter,…

hep-th2021★ 16 cited

Intersecting Defects and Supergroup Gauge Theory

Taro Kimura, Fabrizio Nieri

We consider 5d supersymmetric gauge theories with unitary groups in the -background and study codim-2/4 BPS defects supported on orthogonal planes intersecting at the origin alo…

hep-th2019★ 10 cited

Quiver algebras of 4d gauge theories

Fabrizio Nieri, Yegor Zenkevich

We construct an -deformation of W algebras, corresponding to the additive version of quiver algebras which feature prominently in the 5d version of the BPS…

hep-th2019★ 27 cited

Localization of 4d theories on

Pietro Longhi, Fabrizio Nieri, Antonio Pittelli

We consider 4d gauge theories with R-symmetry on a hemisphere times a torus. We apply localization techniques to evaluate the exact partition function through a coh…

hep-th2018★ 20 cited

3d Mirror Symmetry from S-duality

Fabrizio Nieri, Yiwen Pan, Maxim Zabzine

We consider type IIB symmetry to relate the partition functions of different 5d supersymmetric Abelian linear quiver Yang-Mills theories in the -background an…

hep-th2018★ 11 cited

Bootstrapping the partition function

Fabrizio Nieri, Yiwen Pan, Maxim Zabzine

We consider SQCD on and propose a Higgs branch-like expression for its partition function. We support the result by arguing that the knowledge of certain BPS codimensi…

hep-th2017

-Virasoro modular triple

Fabrizio Nieri, Yiwen Pan, Maxim Zabzine

Inspired by 5d supersymmetric Yang-Mills theories placed on the compact space , we propose an intriguing algebraic construction for the -Virasoro algebra. We show…

hep-th2017★ 16 cited

3d Expansions of 5d Instanton Partition Functions

Fabrizio Nieri, Yiwen Pan, Maxim Zabzine

We propose a set of novel expansions of Nekrasov's instanton partition functions. Focusing on 5d supersymmetric pure Yang-Mills theory with unitary gauge group on $\mathbb{C}^2_{q,…

hep-th2017★ 12 cited

Elliptic modular double and 4d partition functions

Rebecca Lodin, Fabrizio Nieri, Maxim Zabzine

We consider 4d supersymmetric (special) unitary quiver gauge theories on compact manifolds which are fibrations over . We show that their partition functions are cor…

hep-th2016★ 25 cited

-Virasoro modular double and 3d partition functions

Anton Nedelin, Fabrizio Nieri, Maxim Zabzine

We study partition functions of 3d U(N) gauge theories on compact manifolds which are fibrations over . We show that the partition functions are free fie…

hep-th2015★ 34 cited

An elliptic Virasoro symmetry in 6d

Fabrizio Nieri

We define an elliptic deformation of the Virasoro algebra. We argue that the Nekrasov partition function reproduces the chiral blocks of this alge…

hep-th2015★ 71 cited

Factorisation and holomorphic blocks in 4d

Fabrizio Nieri, Sara Pasquetti

We study N=1 theories on Hermitian manifolds of the form M^4=S^1xM^3 with M^3 a U(1) fibration over S^2, and their 3d N=2 reductions. These manifolds admit an Heegaard-like decompo…

hep-th2013★ 77 cited

5D partition functions, q-Virasoro systems and integrable spin-chains

Fabrizio Nieri, Sara Pasquetti, Filippo Passerini +1

We analyze N = 1 theories on S5 and S4 x S1, showing how their partition functions can be written in terms of a set of fundamental 5d holomorphic blocks. We demonstrate that, when…

hep-th2013★ 78 cited

3d & 5d gauge theory partition functions as q-deformed CFT correlators

Fabrizio Nieri, Sara Pasquetti, Filippo Passerini

3d N=2 partition functions on the squashed three-sphere and on the twisted product S2xS1 have been shown to factorize into sums of squares of solid tori partition functions, the so…

hep-th2012★ 3 cited

Correlators of Hopf Wilson loops in the AdS/CFT correspondence

Luca Griguolo, Stefano Mori, Fabrizio Nieri +1

We study at quantum level correlators of supersymmetric Wilson loops with contours lying on Hopf fibers of . In SYM theory the strong coupling analysis can be…