Citation

BibTex format

@article{Bennett:2026:10.1007/jhep07(2026)175,
author = {Bennett, S and Hanany, A and Kalveks, R},
doi = {10.1007/jhep07(2026)175},
journal = {Journal of High Energy Physics},
title = {Quiver maps, nilpotent orbits and Special Pieces of nilcones},
url = {http://dx.doi.org/10.1007/jhep07(2026)175},
volume = {2026},
year = {2026}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:title>                    A                    <jats:sc>bstract</jats:sc>                  </jats:title>                  <jats:p>                    This paper explores 3d                    <jats:inline-formula>                      <jats:alternatives>                        <jats:tex-math>$$ \mathcal{N} $$</jats:tex-math>                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">                          <mml:mi>N</mml:mi>                        </mml:math>                      </jats:alternatives>                    </jats:inline-formula>                    = 4 quiver gauge theories whose moduli spaces represent nilpotent orbits, Sodowy slices or, more generally, Sodowy intersections, which span the Special Pieces of nilcones of Classical or Exceptional algebras. We introduce a map between magnetic and electric quivers containing symmetric group actions, such as wreathings (or loops), bouquets, and/or non-simply laced foldings, which can be related to symmetric subgroups of Lusztig’s canonical quotient groups for Special Pieces. This map on quivers induces a new map on nilpotent orbits that partially resolves the obstruction to quiver dualities presented by the non-involutive nature of the Lusztig Spaltenstein and Barbasch Vogan maps. We use Coulomb and Higgs branch quiver methods complemented by localisation formulae for verification. Some new quivers for intersections within Exceptional nilcones are presented.                  </jats:p>
AU  - Bennett,S
AU  - Hanany,A
AU  - Kalveks,R
DO  - 10.1007/jhep07(2026)175
PY  - 2026///
TI  - Quiver maps, nilpotent orbits and Special Pieces of nilcones
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/jhep07(2026)175
UR  - https://doi.org/10.1007/jhep07(2026)175
VL  - 2026
ER  -
Download

Note to staff:  Adding new publications to a research group

  1. Log in to Symplectic.
  2. Click on Menu > Create Links
  3. Choose what you want to create links between – in this case ‘Publications’ and ‘Organisational structures’.
  4. Choose the organisational structure (research group) into which you want to link the publications and check the box next to it.
  5. Now check the box of any publication you want to add to that group. You can use the filters to find what you want and select multiple publications if necessary. 
  6. Scroll to the bottom and click the blue ‘Create new link’ button to link them.
  7. The publications will be added to the group, and will be displayed on the group publications feed within 24 hours (it is not immediate).

Any problems, talk to Tim Evans or the Faculty Web Team.