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PreprintCC BY-NC-ND 4.0arXiv

The Komar charges of type II supergravity and supersymmetric localization

Abstract

We compute the on-shell closed, generalized Komar charges associated to an arbitrary Killing vector of the two 10-dimensional 𝒩=2 supergravity theories which are the low-energy effective field theories of the type~IIA and IIB superstrings. We study different rewritings of this charge in terms of Page charges and forms with special properties that are used in the derivation of thermodynamical relations in black p-brane spacetimes. The, we show that, when the Killing vector is the supersymmetric Killing vector built as a bilinear of a Killing spinor, the momentum maps of the different fields of the theory are

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BibTeX
@misc{barbagallo2026komar,
  title = {{The Komar charges of type II supergravity and supersymmetric localization}},
  author = {Gabriele Barbagallo and Tomás Ortín},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.10045},
  eprint = {2610.10045},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10045},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - The Komar charges of type II supergravity and supersymmetric localization
AU  - Gabriele Barbagallo
AU  - Tomás Ortín
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.10045
UR  - https://arxiv.org/abs/2610.10045
AB  - We compute the on-shell closed, generalized Komar charges associated to an arbitrary Killing vector of the two 10-dimensional 𝒩=2 supergravity theories which are the low-energy effective field theories of the type~IIA and IIB superstrings. We study different rewritings of this charge in terms of Page charges and forms with special properties that are used in the derivation of thermodynamical relations in black p-brane spacetimes. The, we show that, when the Killing vector is the supersymmetric Killing vector built as a bilinear of a Killing spinor, the momentum maps of the different fields of the theory are
ER  -