Type IIB supergravity solutions for polarized IKKT
Abstract
The general local solutions to complexified Type IIB supergravity which are invariant under the complex Lie superalgebra F(4), and which were derived and classified in arXiv:2508.14959, are supplemented here by the construction of their flux potentials and field strengths. We then focus on the Type IIB⋆ real form of complex Type IIB supergravity, where we obtain solutions with spacetime metric of the warped product form dS1,5× S2×Σ. We systematically derive boundary and regularity conditions under which the dS1,5× S2×Σ solutions can be analytically continued to regular S6× S2×Σ solutions in Euclidean Type IIB supergravity. Using these results, we construct explicit global solutions. These solutions include explicit realizations of recent proposals for a holographic description of the polarized IKKT model, and we clarify the charges carried by these solutions. We also obtain novel solutions in the same regularity class with different brane charges.
Related
- Compact holography via polarized IKKT
- 𝒩=3 supersymmetric AdS4 solutions in d=11 supergravity
- Eight-dimensional Manin triples, Yang-Baxter deformations and solutions of Supergravity Equations
- Spindle solutions with hyperscalars in D=4 gauged supergravity
- Spindle solutions with hyperscalars in D = 4 gauged supergravity
BibTeX
@misc{dhoker2026type,
title = {{Type IIB supergravity solutions for polarized IKKT}},
author = {Eric D'Hoker and Michael Gutperle and Christoph F. Uhlemann},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35963},
eprint = {2609.35963},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35963},
}
RIS
TY - UNPB
TI - Type IIB supergravity solutions for polarized IKKT
AU - Eric D'Hoker
AU - Michael Gutperle
AU - Christoph F. Uhlemann
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.35963
UR - https://arxiv.org/abs/2609.35963
AB - The general local solutions to complexified Type IIB supergravity which are invariant under the complex Lie superalgebra F(4), and which were derived and classified in arXiv:2508.14959, are supplemented here by the construction of their flux potentials and field strengths. We then focus on the Type IIB^⋆ real form of complex Type IIB supergravity, where we obtain solutions with spacetime metric of the warped product form dS_1,5× S^2×Σ. We systematically derive boundary and regularity conditions under which the dS_1,5× S^2×Σ solutions can be analytically continued to regular S^6× S^2×Σ solutions in Euclidean Type IIB supergravity. Using these results, we construct explicit global solutions. These solutions include explicit realizations of recent proposals for a holographic description of the polarized IKKT model, and we clarify the charges carried by these solutions. We also obtain novel solutions in the same regularity class with different brane charges.
ER -