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Peer-reviewedCC BYJournal of High Energy Physics

Equivariant localization for wrapped M5-branes and D4-branes

  1. 1Kumoh National Institute of Technology

Abstract

A bstract Following the work of [1], we consider six- and seven-dimensional gauged supergravity coupled to a vector multiplet on an ansatz of AdS 4 , 5 × M 2 , respectively, where M 2 is a two-dimensional surface with a Killing vector. We construct equivariantly closed forms from spinor bilinears of Killing spinors. From the integration of equivariantly closed forms via the Berline-Vergne-Atiyah-Bott fixed point formula, we derive the gravitational blocks which were previously conjectured. For the construction of equivariantly closed forms, we formulate six- and seven-dimensional gauged supergravity in the very special geometry.

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BibTeX
@article{suh2026equivariant,
  title = {{Equivariant localization for wrapped M5-branes and D4-branes}},
  author = {Minwoo Suh},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = sep,
  doi = {10.1007/jhep09(2026)098},
  url = {https://doi.org/10.1007/jhep09(2026)098},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Equivariant localization for wrapped M5-branes and D4-branes
AU  - Minwoo Suh
PY  - 2026
DA  - 2026/09/08
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep09(2026)098
UR  - https://doi.org/10.1007/jhep09(2026)098
AB  - A bstract Following the work of [1], we consider six- and seven-dimensional gauged supergravity coupled to a vector multiplet on an ansatz of AdS 4 , 5 × M 2 , respectively, where M 2 is a two-dimensional surface with a Killing vector. We construct equivariantly closed forms from spinor bilinears of Killing spinors. From the integration of equivariantly closed forms via the Berline-Vergne-Atiyah-Bott fixed point formula, we derive the gravitational blocks which were previously conjectured. For the construction of equivariantly closed forms, we formulate six- and seven-dimensional gauged supergravity in the very special geometry.
SN  - 1029-8479
SN  - 1126-6708
SN  - 1127-2236
ER  -