1.

Gauge theories from principally extended disconnected gauge groups
/ Bourget, Antoine ; Pini, Alessandro ; RodríguezGómez, Diego
We introduce gauge theories based on a class of disconnected gauge groups, called principal extensions. [...]
Published in Nuclear Physics B 940 (2019) 351376
10.1016/j.nuclphysb.2019.02.004
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2.

Universality of Toda equation in N = 2 $$ \mathcal{N}=2 $$ superconformal field theories
/ Bourget, Antoine ; RodriguezGomez, Diego ; Russo, Jorge
We show that extremal correlators in all Lagrangian N = 2 $$ \mathcal{N}=2 $$ superconformal field theories with a simple gauge group, when suitably defined the S 4 $$ {\mathbb{S}}^4 $$ , are governed by the same universal Toda system of equations, which dictates the structure of extremal correlators to all orders in the perturbation series. [...]
Published in JHEP 1902 (2019) 011
10.1007/JHEP02(2019)011
arXiv:1810.00840
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3.

A limit for large R charge correlators in N $$ \mathcal{N} $$ = 2 theories
/ Bourget, Antoine ; RodriguezGomez, Diego ; Russo, Jorge
Using supersymmetric localization, we study the sector of chiral primary operators (Tr ϕ 2 ) n with large R charge 4 n in N $$ \mathcal{N} $$ = 2 fourdimensional superconformal theories in the weak coupling regime g → 0, where λ ≡ g 2 n is kept fixed as n → ∞, g representing the gauge theory coupling(s). [...]
Published in JHEP 1805 (2018) 074
10.1007/JHEP05(2018)074
arXiv:1803.00580
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4.

The conformal characters
/ Bourget, Antoine ; Troost, Jan
We revisit the study of the multiplets of the conformal algebra in any dimension. [...]
Published in JHEP 1804 (2018) 055
10.1007/JHEP04(2018)055
arXiv:1712.05415
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5.

Towards deconstruction of the Type D (2,0) theory
/ Bourget, Antoine ; Pini, Alessandro ; RodriguezGomez, Diego
We propose a fourdimensional supersymmetric theory that deconstructs, in a particular limit, the sixdimensional (2, 0) theory of type D k . [...]
Published in JHEP 1712 (2017) 146
10.1007/JHEP12(2017)146
arXiv:1710.10247
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6.

Nonconnected gauge groups and the plethystic program
/ Bourget, Antoine ; Pini, Alessandro
We present in the context of supersymmetric gauge theories an extension of the Weyl integration formula, first discovered by Robert Wendt [1], which applies to a class of nonconnected Lie groups. [...]
Published in JHEP 1710 (2017) 033
10.1007/JHEP10(2017)033
arXiv:1706.03781
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7.

Permutations of massive vacua
/ Bourget, Antoine ; Troost, Jan
We discuss the permutation group G of massive vacua of fourdimensional gauge theories with N $$ \mathcal{N} $$ = 1 supersymmetry that arises upon tracing loops in the space of couplings. [...]
Published in JHEP 1705 (2017) 042
10.1007/JHEP05(2017)042
arXiv:1702.02102
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8.

The arithmetic of supersymmetric vacua
/ Bourget, Antoine ; Troost, Jan
We provide explicit formulas for the number of vacua of fourdimensional pure N $$ \mathcal{N} $$ = 1 super YangMills theories on a circle, with any simple gauge algebra and any choice of center and spectrum of line operators. [...]
Published in JHEP 1607 (2016) 036
10.1007/JHEP07(2016)036
arXiv:1606.01022
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9.

The covariant chiral ring
/ Bourget, Antoine ; Troost, Jan
We construct a covariant generating function for the spectrum of chiral primaries of symmetric orbifold conformal field theories with N = (4 , 4) supersymmetry in two dimensions. [...]
Published in JHEP 1603 (2016) 163
10.1007/JHEP03(2016)163
arXiv:1512.03649
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10.

On the N = 1 ∗ $$ \mathcal{N}={1}^{\ast } $$ gauge theory on a circle and elliptic integrable systems
/ Bourget, Antoine ; Troost, Jan
We continue our study of the N = 1 ∗ $$ \mathcal{N}={1}^{\ast } $$ supersymmetric gauge theory on ℝ 2 , 1 × S 1 $$ {\mathbb{R}}^{2,1}\times {S}^1 $$ and its relation to elliptic integrable systems. [...]
Published in JHEP 1601 (2016) 097
10.1007/JHEP01(2016)097
arXiv:1511.03116
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