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Warm Warped Throats

Dibya Chakraborty, Rudnei O. Ramos

Abstract

We investigate brane inflation, focusing on warm inflation realizations within a warped throat geometry. While the standard scenario relies on a single mobile $D3$-brane moving radially toward an anti-$D3$-brane at the tip of the throat, we propose two distinct inflationary pictures. In our approach, the radial and angular coordinates of a $D3$-brane on a warped deformed conifold act as two independent inflaton fields. We address moduli stabilization by incorporating a supersymmetrically embedded $D7$-brane, which generates the necessary radial and angular scalar potentials. Evaluating these radial and angular brane inflation setups within the warm inflation paradigm, we demonstrate that dissipation effects allow the models to satisfy recent observational constraints more naturally than their cold inflation counterparts for a given parameter space.

Warm Warped Throats

Abstract

We investigate brane inflation, focusing on warm inflation realizations within a warped throat geometry. While the standard scenario relies on a single mobile -brane moving radially toward an anti--brane at the tip of the throat, we propose two distinct inflationary pictures. In our approach, the radial and angular coordinates of a -brane on a warped deformed conifold act as two independent inflaton fields. We address moduli stabilization by incorporating a supersymmetrically embedded -brane, which generates the necessary radial and angular scalar potentials. Evaluating these radial and angular brane inflation setups within the warm inflation paradigm, we demonstrate that dissipation effects allow the models to satisfy recent observational constraints more naturally than their cold inflation counterparts for a given parameter space.

Paper Structure

This paper contains 17 sections, 44 equations, 11 figures, 3 tables.

Table of Contents

  1. Introduction
  2. $D3$-brane at the tip
  3. Full moduli stabilization
  4. F-term scalar potential for the brane
  5. Kuperstein embeddings in angular inflation
  6. Kuperstein embeddings in radial inflation
  7. Warm inflation
  8. Background dynamics
  9. Perturbation in WI and dissipation mechanisms
  10. The form of the dissipation function
  11. Angular WI
  12. Radial WI
  13. Numerical results
  14. Radial brane WI results
  15. Angular brane WI
  16. ...and 2 more sections

Figures (11)

  • Figure 1: Illustration of the warped throat, details are in the text.
  • Figure 2: The radial-brane potential \ref{['pot-radial']} for the parameters given in table \ref{['tab1']}
  • Figure 3: Evolution for the slow-roll coefficient $\epsilon_H$ (panel a), inflaton amplitude $\phi$ (panel b), $T/H$ (panel c), $T$ (panel d), $Q$ (panel e) and energy densities (panel f), in units of the reduced Planck mass $M_{\rm Pl}$, for the radial brane WI model given in table \ref{['tab2']}.
  • Figure 4: Plot of $n_s$ (panel a) and $r$ (panel b) as a function of $Q_{\star}$ (at the Hubble radius crossing point) for the case of the radial direction brane inflation. The horizontal dotted line shown in panel (b) indicates the upper bound $r< 0.036$, from ref. BICEP:2021xfz.
  • Figure 5: Plot of $n_s-r$ against Planck and ACT data for the case of the radial direction brane model in WI with dissipation coefficient $\Upsilon \propto T^3/\phi^2$.
  • ...and 6 more figures