Fire at the tip of the throat: Hagedorn phase after brane–antibrane inflation?
- 1Indian Institute of Science Education and Research Thiruvananthapuram
- 2Masaryk University
- 3BRAC University
Abstract
We study the post-inflationary open-string Hagedorn phase in perturbatively moduli stabilized brane– antibrane inflation. In this class of models, the volume modulus is stabilized by perturbative corrections rather than by non-perturbative effects to the superpotential, thereby avoiding the standard brane–antibrane η η -problem. Since inflation ends through tachyon condensation and brane–antibrane annihilation, the endpoint is intrinsically stringy and need not be described immediately by an ordinary radiation bath. We analyze whether the energy released at annihilation can drive the visible sector into an open-string Hagedorn phase, and study the consequences for dark radiation. If the Standard Model (SM) branes lie in the same throat as where the annihilation occurs, we find that a modest fraction of the released energy deposited into surviving visible open strings is sufficient to enter the Hagedorn regime and can suppress the effective number of relativistic species Δ Neff Δ N eff below current observational bounds. If the SM lies in a different throat, the result depends on inter-throat energy transfer: prompt or delayed transfer can still yield a visible Hagedorn phase. However, the mechanism is most efficient when the local string scale in the SM throat is lower than or comparable to that in the annihilation throat.
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BibTeX
@article{chakraborty2026fire,
title = {{Fire at the tip of the throat: Hagedorn phase after brane–antibrane inflation?}},
author = {Dibya Chakraborty and Ahmed Rakin Kamal},
journal = {The European Physical Journal C},
year = {2026},
month = oct,
doi = {10.1140/epjc/s10052-026-16470-w},
url = {https://link.springer.com/10.1140/epjc/s10052-026-16470-w},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Fire at the tip of the throat: Hagedorn phase after brane–antibrane inflation?
AU - Dibya Chakraborty
AU - Ahmed Rakin Kamal
PY - 2026
DA - 2026/10/08
JO - The European Physical Journal C
DO - 10.1140/epjc/s10052-026-16470-w
UR - https://link.springer.com/10.1140/epjc/s10052-026-16470-w
AB - We study the post-inflationary open-string Hagedorn phase in perturbatively moduli stabilized brane– antibrane inflation. In this class of models, the volume modulus is stabilized by perturbative corrections rather than by non-perturbative effects to the superpotential, thereby avoiding the standard brane–antibrane η η -problem. Since inflation ends through tachyon condensation and brane–antibrane annihilation, the endpoint is intrinsically stringy and need not be described immediately by an ordinary radiation bath. We analyze whether the energy released at annihilation can drive the visible sector into an open-string Hagedorn phase, and study the consequences for dark radiation. If the Standard Model (SM) branes lie in the same throat as where the annihilation occurs, we find that a modest fraction of the released energy deposited into surviving visible open strings is sufficient to enter the Hagedorn regime and can suppress the effective number of relativistic species Δ N_eff Δ N eff below current observational bounds. If the SM lies in a different throat, the result depends on inter-throat energy transfer: prompt or delayed transfer can still yield a visible Hagedorn phase. However, the mechanism is most efficient when the local string scale in the SM throat is lower than or comparable to that in the annihilation throat.
SN - 1434-6044
SN - 1434-6052
ER -