The Kähler Stability Wall in Perturbative Brane--Antibrane Inflation
Abstract
Perturbative brane--antibrane inflation requires the physical Kähler volume to remain stabilized while the anti-D3 sector supplies the inflationary energy. This paper shows that this requirement imposes an exact analytic boundary on the allowed anti-D3 tension. In the leading nilpotent effective theory, the Kähler minimum and the decompactification barrier disappear through a saddle-node degeneration determined by Uσ=Uσσ=0. The positive-tension branch of this boundary is solved in closed form and uniformized by a single real parameter. The same solution fixes the local scaling of the Kähler mass, barrier height, and canonical distance to the endpoint. Integrating out the volume modulus reveals a Schur-complement singularity, showing that the adiabatic single-field description fails at the same boundary unless the inflaton--volume mixing is suppressed. The result is then translated into necessary flux-arithmetic filters involving the warped throat, D3 tadpole, conifold control, scalar normalization, and the full Kähler-sector mass matrix. Numerical tests verify the critical locus, the saddle-node scaling laws, and the resulting sparse throat-flux filtration. These conditions are necessary for compact realizations; no compact vacuum is asserted without the corresponding global and Wilsonian control checks.
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BibTeX
@misc{singh2026kähler,
title = {{The Kähler Stability Wall in Perturbative Brane--Antibrane Inflation}},
author = {Swapnil Kumar Singh},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.08491},
eprint = {2611.08491},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.08491},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Kähler Stability Wall in Perturbative Brane--Antibrane Inflation
AU - Swapnil Kumar Singh
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.08491
UR - https://arxiv.org/abs/2611.08491
AB - Perturbative brane--antibrane inflation requires the physical Kähler volume to remain stabilized while the anti-D3 sector supplies the inflationary energy. This paper shows that this requirement imposes an exact analytic boundary on the allowed anti-D3 tension. In the leading nilpotent effective theory, the Kähler minimum and the decompactification barrier disappear through a saddle-node degeneration determined by U_σ=U_σσ=0. The positive-tension branch of this boundary is solved in closed form and uniformized by a single real parameter. The same solution fixes the local scaling of the Kähler mass, barrier height, and canonical distance to the endpoint. Integrating out the volume modulus reveals a Schur-complement singularity, showing that the adiabatic single-field description fails at the same boundary unless the inflaton--volume mixing is suppressed. The result is then translated into necessary flux-arithmetic filters involving the warped throat, D3 tadpole, conifold control, scalar normalization, and the full Kähler-sector mass matrix. Numerical tests verify the critical locus, the saddle-node scaling laws, and the resulting sparse throat-flux filtration. These conditions are necessary for compact realizations; no compact vacuum is asserted without the corresponding global and Wilsonian control checks.
ER -