activity
20102026
most citedHighest Weight Generating Functions for Hilbert Series

63 citations · 332 across the 13 of their papers we have counts for

collaborators

13 papers

hep-th2026

Quiver Maps, Nilpotent Orbits and Special Pieces of Nilcones

Sam Bennett, Amihay Hanany, Rudolph Kalveks

This paper explores 3d quiver gauge theories whose moduli spaces represent nilpotent orbits, Słodowy slices or, more generally, Słodowy intersections, which span th…

hep-th2023★ 7 cited

Quotient Quiver Subtraction

Amihay Hanany, Rudolph Kalveks, Guhesh Kumaran

We develop the diagrammatic technique of quiver subtraction to facilitate the identification and evaluation of the hyper-Kähler quotient (HKQ) of the Coulomb branc…

hep-th2021★ 27 cited

Higgs Branches of U/SU Quivers via Brane Locking

Antoine Bourget, Julius F. Grimminger, Amihay Hanany +2

We solve a long standing problem on the computation of the Higgs branch of linear quivers with 8 supercharges and with both unitary and special unitary gauge nodes. T…

hep-th2021★ 31 cited

Folding Orthosymplectic Quivers

Antoine Bourget, Julius F. Grimminger, Amihay Hanany +3

Folding identical legs of a simply-laced quiver creates a quiver with a non-simply laced edge. So far, this has been explored for quivers containing unitary gauge groups. In this p…

hep-th2020★ 38 cited

Magnetic Lattices for Orthosymplectic Quivers

Antoine Bourget, Julius F. Grimminger, Amihay Hanany +3

For any gauge theory, there may be a subgroup of the gauge group which acts trivially on the matter content. While many physical observables are not sensitive to this fact, the ide…

hep-th2019★ 22 cited

Quiver Theories and Hilbert Series of Classical Slodowy Intersections

Amihay Hanany, Rudolph Kalveks

We build on previous studies of the Higgs and Coulomb branches of SUSY quiver theories having 8 supercharges, including , and Classical gauge groups. The vacuum modu…

hep-th2018★ 20 cited

Quiver Theories and Formulae for Slodowy Slices of Classical Algebras

Santiago Cabrera, Amihay Hanany, Rudolph Kalveks

We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra . We analyse classe…

hep-th2017★ 35 cited

Quiver Theories and Formulae for Nilpotent Orbits of Exceptional Algebras

Amihay Hanany, Rudolph Kalveks

We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the…

hep-th2016★ 61 cited

Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits

Amihay Hanany, Rudolph Kalveks

We approach the topic of Classical group nilpotent orbits from the perspective of their moduli spaces, described in terms of Hilbert series and generating functions. We review the…

hep-th2015★ 14 cited

Construction and Deconstruction of Single Instanton Hilbert Series

Amihay Hanany, Rudolph Kalveks

Many methods exist for the construction of the Hilbert series describing the moduli spaces of instantons. We explore some of the underlying group theoretic relationships between th…

hep-th2014★ 63 cited

Highest Weight Generating Functions for Hilbert Series

Amihay Hanany, Rudolph Kalveks

We develop a new method for representing Hilbert series based on the highest weight Dynkin labels of their underlying symmetry groups. The method draws on plethystic functions and…

quant-ph2013★ 3 cited

Vector Models in PT Quantum Mechanics

Katherine Jones-Smith, Rudolph Kalveks

We present two examples of non-Hermitian Hamiltonians which consist of an unperturbed part plus a perturbation that behaves like a vector, in the framework of PT quantum mechanics.…

hep-th2010★ 11 cited

Extending PT symmetry from Heisenberg algebra to E2 algebra

Carl M. Bender, R. J. Kalveks

The E2 algebra has three elements, J, u, and v, which satisfy the commutation relations [u,J]=iv, [v,J]=-iu, [u,v]=0. We can construct the Hamiltonian H=J^2+gu, where g is a real p…