Deconstructing little strings with $\mathcal{N}=1$ gauge theories on ellipsoids

Hayling, Joseph; Panerai, Rodolfo; Papageorgakis, Constantinos

doi:10.21468/SciPostPhys.4.6.042

SciPost Physics

Deconstructing little strings with $\mathcal{N}=1$ gauge theories on ellipsoids

Joseph Hayling, Rodolfo Panerai, Constantinos Papageorgakis

SciPost Phys. 4, 042 (2018) · published 28 June 2018

doi: 10.21468/SciPostPhys.4.6.042
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Abstract

A formula was recently proposed for the perturbative partition function of certain $\mathcal N=1$ gauge theories on the round four-sphere, using an analytic-continuation argument in the number of dimensions. These partition functions are not currently accessible via the usual supersymmetric-localisation technique. We provide a natural refinement of this result to the case of the ellipsoid. We then use it to write down the perturbative partition function of an $\mathcal N=1$ toroidal-quiver theory (a double orbifold of $\mathcal N=4$ super Yang-Mills) and show that, in the deconstruction limit, it reproduces the zero-winding contributions to the BPS partition function of (1,1) Little String Theory wrapping an emergent torus. We therefore successfully test both the expressions for the $\mathcal N=1$ partition functions, as well as the relationship between the toroidal-quiver theory and Little String Theory through dimensional deconstruction.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.4.6.042
TI  - Deconstructing little strings with $\mathcal{N}=1$ gauge theories on ellipsoids
PY  - 2018/06/28
UR  - https://www.scipost.org/SciPostPhys.4.6.042
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 4
IS  - 6
SP  - 042
A1  - Hayling, Joseph
AU  - Panerai, Rodolfo
AU  - Papageorgakis, Constantinos
AB  - A formula was recently proposed for the perturbative partition function of certain $\mathcal N=1$ gauge theories on the round four-sphere, using an analytic-continuation argument in the number of dimensions. These partition functions are not currently accessible via the usual supersymmetric-localisation technique. We provide a natural refinement of this result to the case of the ellipsoid. We then use it to write down the perturbative partition function of an $\mathcal N=1$ toroidal-quiver theory (a double orbifold of $\mathcal N=4$ super Yang-Mills) and show that, in the deconstruction limit, it reproduces the zero-winding contributions to the BPS partition function of (1,1) Little String Theory wrapping an emergent torus. We therefore successfully test both the expressions for the $\mathcal N=1$ partition functions, as well as the relationship between the toroidal-quiver theory and Little String Theory through dimensional deconstruction.
ER  -

@Article{10.21468/SciPostPhys.4.6.042,
	title={{Deconstructing little strings with $\mathcal{N}=1$ gauge theories on ellipsoids}},
	author={Joseph Hayling and Rodolfo Panerai and Constantinos Papageorgakis},
	journal={SciPost Phys.},
	volume={4},
	pages={042},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.4.6.042},
	url={https://scipost.org/10.21468/SciPostPhys.4.6.042},
}

Cited by 6

Ontology / Topics

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Gauge theory Little String Theory N=4 super Yang-Mills (SYM) Toroidal-quiver theory

Authors / Affiliation: mappings to Contributors and Organizations

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¹ Queen Mary University of London [QMUL]

Funders for the research work leading to this publication

Queen Mary, University of London (through Organization: Queen Mary University of London [QMUL])
Royal Society