# Star-shaped quiver theories with flux

@article{Razamat2020StarshapedQT, title={Star-shaped quiver theories with flux}, author={Shlomo S. Razamat and Brian Willett}, journal={Physical Review D}, year={2020} }

We study the compactification of the 6d ${\cal N}=(2,0)$ SCFT on the product of a Riemann surface with flux and a circle. On the one hand, this can be understood by first reducing on the Riemann surface, giving rise to 4d ${\cal N}=1$ and ${\cal N}=2$ class ${\cal S}$ theories, which we then reduce on $S^1$ to get 3d ${\cal N}=2$ and ${\cal N}=4$ class ${\cal S}$ theories. On the other hand, we may first compactify on $S^1$ to get the 5d ${\cal N}=2$ Yang-Mills theory. By studying its reduction…

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## References

SHOWING 1-10 OF 88 REFERENCES

5d partition functions with a twist

- MathematicsJournal of High Energy Physics
- 2018

A bstractWe derive the partition function of 5d N=1$$ \mathcal{N}=1 $$ gauge theories on the manifold Sb3×Σg$$ {S}_b^3 \times {\varSigma}_{\mathfrak{g}} $$ with a partial topological twist along the…

Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills

- Mathematics
- 2014

A bstractTwisted compactification of the 6d $ \mathcal{N} $ = (2, 0) theories on a punctured Riemann surface give a large class of 4d $ \mathcal{N} $ = 1 and $ \mathcal{N} $ = 2 gauge theories,…

Infinitely many N=1 dualities from $m+1-m=1$

- Mathematics
- 2015

We discuss two infinite classes of 4d supersymmetric theories, ${T}_N^{(m)}$ and ${\cal U}_N^{(m)}$, labelled by an arbitrary non-negative integer, $m$. The ${T}_N^{(m)}$ theory arises from the 6d,…

Marginal deformations of 3d N$$ \mathcal{N} $$ = 4 linear quiver theories

- MathematicsJournal of High Energy Physics
- 2019

A bstractWe study superconformal deformations of the Tpp̂$$ {T}_p^{\hat{p}} $$ [SU(N)] theories of Gaiotto- Hanany-Witten, paying special attention to mixed-branch operators with both electrically-…

Gauge Theories Labelled by Three-Manifolds

- Mathematics
- 2011

We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional $${\mathcal{N} = 2}$$N=2 gauge theories. Under this duality, standard operations on triangulated…

Mirrors of 3d Sicilian theories

- Mathematics
- 2010

We consider the compactification of the 6d $$ \mathcal{N} = \left( {2,0} \right) $$ theories, or equivalently of M-theory 5-branes, on a punctured Riemann surface times a circle. This gives rise to…

Twisted partition functions and H-saddles

- Computer Science
- 2017

This explains why earlier estimates of the matrix integrals ZG had failed to capture the recently constructed bulk index ℐbulkG, and the purported agreement between 4d and 5d instanton partition functions, despite such subtleties also present in the ADHM data, is explained.

Infinitely many N=1$$ \mathcal{N}=1 $$ dualities from m + 1 − m = 1

- Mathematics
- 2015

A bstractWe discuss two infinite classes of 4d supersymmetric theories, TN(m) and UNm$$ {\mathcal{U}}_N^{(m)} $$, labelled by an arbitrary non-negative integer, m. The TN(m) theory arises from the…

Comments on twisted indices in 3d supersymmetric gauge theories

- Mathematics
- 2016

A bstractWe study three-dimensional N$$ \mathcal{N} $$ = 2 supersymmetric gauge theories on Σg × S1 with a topological twist along Σg , a genus-g Riemann surface. The twisted supersymmetric index at…

$$ \mathcal{N} $$ = 1 conformal dualities

- MathematicsJournal of High Energy Physics
- 2019

Abstract
We consider on one hand the possibility that a supersymmetric
$$ \mathcal{N} $$
N
= 1 conformal gauge theory has a strongly coupled locus on the conformal manifold at which a…