The giant graviton expansion in AdS₅×SE₅

@misc{lezcano2026giant,
  title = {{The giant graviton expansion in AdS$_5\times$SE$_5$}},
  author = {Alfredo González Lezcano and Leopoldo A. Pando Zayas and Augniva Ray},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.02658},
  eprint = {2607.02658},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.02658},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - The giant graviton expansion in AdS_5×SE_5
AU  - Alfredo González Lezcano
AU  - Leopoldo A. Pando Zayas
AU  - Augniva Ray
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2607.02658
UR  - https://arxiv.org/abs/2607.02658
AB  - We study giant graviton-like D3-branes as probe configurations in type IIB supergravity backgrounds AdS_5×SE_5, with emphasis on the structure of the five-dimensional Sasaki-Einstein manifolds SE_5. These configurations wrap supersymmetric three-cycles in SE_5 and rotate at the speed of light along the Reeb direction. We formulate the general problem in terms of the transverse Kähler potential and show that configurations carrying maximal angular momentum can be described by loci where the transverse Kähler potential diverges in suitably chosen coordinates. We quantize a particular set of excitations, similar to those considered in the AdS_5× S^5 case, and show that they are governed by a Fock-Darwin problem with a conical deficit, which generalizes the Landau problem obtained for S^5. Succinctly, the information about the geometry of SE_5 is encoded in the form of the external potential and the conical deficit. We compute a protected contribution to the superconformal index arising from quantized fluctuations of supersymmetric giant graviton configurations. For the explicit case of AdS_5× T^1,1, we recover the finite-N protected index of the dual quiver cal N=1 superconformal field theory in the sector captured by a non-Abelian generalization of the quantized degrees of freedom.
ER  -