I describe the Chiral rings $C_{3,4}(G;E)$ for $3$D, $N=4$ supersymmetric $G$-gauge theory and matter fields in quaternionic representations $E$: first, by a topological tweak of the construction of \cite{bfn}, and second, more explicitly, by Weyl group descent from the maximal torus. A topological obstruction is $w_4(E)$ modulo integral squares, for $C_3$, and a possible secondary obstruction for $C_4$. Flatness over the Toda bases allows their calculation by reduction to $\mathrm{SU}_2$. For some representations, an Abelianization formula describes the spaces $C$ in terms of the maximal torus and the Weyl group. The construction is expected to be an alternative and generalization of the recent definition arXiv:2201.19475, and clarifies so...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We use a classification result of Chenevier and Lannes for algebraic automorphic representations tog...
34 pages, 7 figures34 pages, 7 figures34 pages, 7 figuresWe consider the worldvolume theory of N D3-...
We review the description of three-dimensional gauge theories with N = 4 supersymmetry in the presen...
We propose a construction for the quantum-corrected Coulomb branch of a general 3d gauge theory with...
Abstract: This paper addresses a long standing problem- to identify the chiral ring and moduli space...
This paper addresses a long standing problem - to identify the chiral ring and moduli space (i.e. as...
We propose a construction of the Coulomb branch of a $3d\ {\mathcal N}=4$ gauge theory corresponding...
We show that the four-dimensional Chern-Simons theory studied by Costello, Witten and Yamazaki, is, ...
The structure of half-BPS representations of psu$(2,2|4)$ leads to the definition of a super-polynom...
The monopole formula provides the Hilbert series of the Coulomb branch for a 3-dimensional N=4 gauge...
We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this...
The classification of 4d N= 2 SCFTs boils down to the classification of conical special geometries w...
In our earlier work, we studied the $\hat{Z}$-invariant(or homological blocks) for $SO(3)$ gauge gro...
The low-energy physics of systems with spontaneously broken continuous symmetry is dominated by the ...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We use a classification result of Chenevier and Lannes for algebraic automorphic representations tog...
34 pages, 7 figures34 pages, 7 figures34 pages, 7 figuresWe consider the worldvolume theory of N D3-...
We review the description of three-dimensional gauge theories with N = 4 supersymmetry in the presen...
We propose a construction for the quantum-corrected Coulomb branch of a general 3d gauge theory with...
Abstract: This paper addresses a long standing problem- to identify the chiral ring and moduli space...
This paper addresses a long standing problem - to identify the chiral ring and moduli space (i.e. as...
We propose a construction of the Coulomb branch of a $3d\ {\mathcal N}=4$ gauge theory corresponding...
We show that the four-dimensional Chern-Simons theory studied by Costello, Witten and Yamazaki, is, ...
The structure of half-BPS representations of psu$(2,2|4)$ leads to the definition of a super-polynom...
The monopole formula provides the Hilbert series of the Coulomb branch for a 3-dimensional N=4 gauge...
We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this...
The classification of 4d N= 2 SCFTs boils down to the classification of conical special geometries w...
In our earlier work, we studied the $\hat{Z}$-invariant(or homological blocks) for $SO(3)$ gauge gro...
The low-energy physics of systems with spontaneously broken continuous symmetry is dominated by the ...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We use a classification result of Chenevier and Lannes for algebraic automorphic representations tog...
34 pages, 7 figures34 pages, 7 figures34 pages, 7 figuresWe consider the worldvolume theory of N D3-...