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–Lie Algebras Canonically Associated to Probability Measures on with All Moments Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Glueball Inflation and Gauge/Gravity Duality

Author : Lilia Anguelova

Published in: Lie Theory and Its Applications in Physics

Publisher: Springer Singapore

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Abstract

We summarize our work on building glueball inflation models with the methods of the gauge/gravity duality. We review the relevant five-dimensional consistent truncation of type IIB supergravity. We consider solutions of this effective theory, whose metric has the form of a \(dS_4\) foliation over a radial direction. By turning on small (in an appropriate sense) time-dependent deformations around these solutions, one can build models of glueball inflation. We discuss a particular deformed solution, describing an ultra-slow roll inflationary regime.

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previous chapter Large Volume Supersymmetry Breaking Without Decompactification Problem
next chapter Degenerate Metrics and Their Applications to Spacetime
Footnotes
1
One should keep in mind, though, that there are more exotic inflationary regimes, in which one or more of the slow roll conditions can be violated; see [21‐23], for instance.
 
2
To prove this, one also needs to use the fact that (15) and (16) imply the following relation between k and \(\alpha \):   \(k = - \frac{3}{2} \mathcal{H}_0 \pm \frac{\sqrt{84 \alpha ^2 + 252 \alpha + 81}}{6} \,\mathcal{H}_0\).
 
3
Note that, since the correction \(A_{(2)}\) to the warp factor A(t, z) in (11) also depends on t, as can be seen from (19), one should, in principle, first perform a coordinate transformation \(t \rightarrow \tau \) that absorbs that dependence, before computing the physical Hubble parameter \(\mathcal{H} (\tau )\) and inflaton field \(\phi (\tau )\). However, in the present case, this leads to exactly the same expressions as (23) with t substituted by \(\tau \), with the only difference being the numerical value of the constant \(C_\mathcal{H}\). So we will not discuss the details of that transformation here.
 
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Metadata
Title
Glueball Inflation and Gauge/Gravity Duality
Author
Lilia Anguelova
Copyright Year
2016
Publisher
Springer Singapore
Book
Lie Theory and Its Applications in Physics

Print ISBN: 978-981-10-2635-5

Electronic ISBN: 978-981-10-2636-2

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-981-10-2636-2_18

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