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PreprintCC BY 4.0arXiv

Holographic Ensembles in Type IIB

  • Jesse van Muiden
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Abstract

We study holographic ensembles in type IIB string theory on the Schur twisted AdS5 × S5 background, and its corresponding boundary partition function: the Schur index of 𝒩=4 SYM. In the supergravity limit the two natural ensembles are either at fixed flux on S5, corresponding to a boundary theory at fixed rank, or its conjugate choice of fixed potential on the boundary of AdS5, corresponding on the boundary to a grand canonical ensemble of theories at fixed chemical potential. Due to the self-dual nature of the five-form in type IIB supergravity the choice of ensembles is not seen in the standard bulk action, but rather by the coupling of an additional topological term. We compute the bulk partition function to one loop, including the Kaluza-Klein determinant and the measure of the ensemble-changing sum, and show that depending on the sign of this topological term it matches the perturbative boundary partition function in either the canonical or the grand canonical ensemble.

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Cite

BibTeXRIS
BibTeX
@misc{muiden2026holographic,
  title = {{Holographic Ensembles in Type IIB}},
  author = {Jesse van Muiden},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.27956},
  eprint = {2608.27956},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27956},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Holographic Ensembles in Type IIB
AU  - Jesse van Muiden
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.27956
UR  - https://arxiv.org/abs/2608.27956
AB  - We study holographic ensembles in type IIB string theory on the Schur twisted AdS_5 × S^5 background, and its corresponding boundary partition function: the Schur index of 𝒩=4 SYM. In the supergravity limit the two natural ensembles are either at fixed flux on S^5, corresponding to a boundary theory at fixed rank, or its conjugate choice of fixed potential on the boundary of AdS_5, corresponding on the boundary to a grand canonical ensemble of theories at fixed chemical potential. Due to the self-dual nature of the five-form in type IIB supergravity the choice of ensembles is not seen in the standard bulk action, but rather by the coupling of an additional topological term. We compute the bulk partition function to one loop, including the Kaluza-Klein determinant and the measure of the ensemble-changing sum, and show that depending on the sign of this topological term it matches the perturbative boundary partition function in either the canonical or the grand canonical ensemble.
ER  -