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PreprintCC BY 4.0arXiv

A Split-Signature Type IIB Background on AdS5,ℂ

  • Brenno Carlini Vallilo
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Abstract

We construct a maximally supersymmetric Type IIB background in signature (5,5) on the real ten-manifold underlying complex AdS5. The spacetime is diffeomorphic to T*S5 and carries the invariant metric G=i(q̅−q), where q is the holomorphic constant-curvature metric. The real five-form F5=(4i/L)(Ω−Ω̅), built from its normalized volume form, is self-dual, and its stress tensor supports this scalar-flat, non-Einstein metric. We derive these fields from the most general SL(4,ℂ)-invariant metric and five-form ansatz: self-duality and the Einstein equation fix their phases up to the overall scale, orientation, and flux sign. The fields obey the reality conditions of the untwisted IIB5 theory. The holomorphic coframe makes the supercovariant curvature cancellation explicit, and flat transport gives thirty-two global real Killing spinors. Their Killing superalgebra is the factor-exchanging real form of psl(4|4,ℂ), and we identify the corresponding supercoset.

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Cite

BibTeXRIS
BibTeX
@misc{vallilo2026splitsignature,
  title = {{A Split-Signature Type IIB Background on $\mathrmAdS_5,\mathbb C$}},
  author = {Brenno Carlini Vallilo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21783},
  eprint = {2609.21783},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21783},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Split-Signature Type IIB Background on AdS_5,ℂ
AU  - Brenno Carlini Vallilo
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21783
UR  - https://arxiv.org/abs/2609.21783
AB  - We construct a maximally supersymmetric Type IIB background in signature (5,5) on the real ten-manifold underlying complex AdS_5. The spacetime is diffeomorphic to T^*S^5 and carries the invariant metric G=i(q̅−q), where q is the holomorphic constant-curvature metric. The real five-form F_5=(4i/L)(Ω−Ω̅), built from its normalized volume form, is self-dual, and its stress tensor supports this scalar-flat, non-Einstein metric. We derive these fields from the most general SL(4,ℂ)-invariant metric and five-form ansatz: self-duality and the Einstein equation fix their phases up to the overall scale, orientation, and flux sign. The fields obey the reality conditions of the untwisted IIB_5 theory. The holomorphic coframe makes the supercovariant curvature cancellation explicit, and flat transport gives thirty-two global real Killing spinors. Their Killing superalgebra is the factor-exchanging real form of psl(4|4,ℂ), and we identify the corresponding supercoset.
ER  -