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1.
Seifert fibering operators in 3d $\mathcal{N}=2$ theories / Closset, Cyril (CERN) ; Kim, Heeyeon (Oxford U., Inst. Math.) ; Willett, Brian (Santa Barbara, KITP)
We study 3d $\mathcal{N}=2$ supersymmetric gauge theories on closed oriented Seifert manifold---circle bundles over an orbifold Riemann surface---, with a gauge group G given by a product of simply-connected and/or unitary Lie groups. Our main result is an exact formula for the supersymmetric partition function on any Seifert manifold, generalizing previous results on lens spaces. [...]
arXiv:1807.02328; CERN-TH-2018-156.- 2018-11-05 - 135 p. - Published in : JHEP 11 (2018) 004 Article from SCOAP3: PDF; Fulltext: PDF;
2.
$\mathcal{N}{=}1$ supersymmetric indices and the four-dimensional A-model / Closset, Cyril (CERN) ; Kim, Heeyeon (Perimeter Inst. Theor. Phys.) ; Willett, Brian (Santa Barbara, KITP)
We compute the supersymmetric partition function of $\mathcal{N}{=}1$ supersymmetric gauge theories with an $R$-symmetry on $\mathcal{M}_4 \cong \mathcal{M}_{g,p}\times S^1$, a principal elliptic fiber bundle of degree $p$ over a genus-$g$ Riemann surface, $\Sigma_g$. Equivalently, we compute the generalized supersymmetric index $I_{\mathcal{M}_{g,p}}$, with the supersymmetric three-manifold ${\mathcal{M}_{g,p}}$ as the spatial slice. [...]
arXiv:1707.05774; CERN-TH-2017-180.- 2017-08-21 - 92 p. - Published in : JHEP 08 (2017) 090 Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
3.
Supersymmetric partition functions and the three-dimensional A-twist / Closset, Cyril (CERN) ; Kim, Heeyeon (Perimeter Inst. Theor. Phys.) ; Willett, Brian (Santa Barbara, KITP)
We study three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories on $\mathcal{M}_{g,p}$, an oriented circle bundle of degree $p$ over a closed Riemann surface, $\Sigma_g$. We compute the $\mathcal{M}_{g,p}$ supersymmetric partition function and correlation functions of supersymmetric loop operators. [...]
arXiv:1701.03171; CERN-TH-2017-006.- 2017-03-14 - 112 p. - Published in : JHEP 03 (2017) 74 Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF; Springer Open Access article: PDF;

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