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We provide a pedagogical overview of inflation in string theory. Our theme is the sensitivity of inflation to Planck-scale physics, which we argue provides both the primary motivation and the central theoretical challenge for the subject.…

High Energy Physics - Theory · Physics 2009-12-15 Daniel Baumann , Liam McAllister

Brane inflation is a specific realization of the inflationary universe scenario in the early universe within the brane world framework in string theory. The naturalness and robustness of this realistic scenario is explained. Its predictions…

High Energy Physics - Theory · Physics 2008-11-26 S. -H. Henry Tye

We have investigated the necessary conditions that prevent phantom inflation from being eternal. Allowing additionally for a nonminimal coupling between the phantom field and gravity, we present the slow-climb requirements, perform an…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Chao-Jun Feng , Xin-Zhou Li , Emmanuel N. Saridakis

We show that a moduli space of the form predicted by string theory, lifted by supersymmetry breaking, gives rise to successful inflation for large regions of parameter space without any modification or fine tuning. This natural realization…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kenji Kadota , Ewan D. Stewart

We develop a numerical statistical method to study linear cosmological fluctuations in inflationary scenarios with multiple fields, and apply it to an ensemble of six-field inflection point models in string theory. The latter are concrete…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-05 Sébastien Renaux-Petel

We review the paradigm of eternal inflation in the light of the recently proposed corpuscular picture of space-time. Comparing the strength of the average fluctuation of the field up its potential with that of quantum depletion, we show…

General Relativity and Quantum Cosmology · Physics 2015-11-16 Florian Kuhnel , Marit Sandstad

The usual theory of inflation breaks down in eternal inflation. We derive a dual description of eternal inflation in terms of a deformed Euclidean CFT located at the threshold of eternal inflation. The partition function gives the amplitude…

High Energy Physics - Theory · Physics 2018-05-23 S. W. Hawking , Thomas Hertog

In this paper we introduce a simple discrete stochastic model of eternal inflation that shares many of the most important features of the continuum theory as it is now understood. The model allows us to construct a multiverse and rigorously…

High Energy Physics - Theory · Physics 2013-05-30 Daniel Harlow , Stephen Shenker , Douglas Stanford , Leonard Susskind

Recently, based on swampland considerations in string theory, the (no) eternal inflation principle has been put forward. The natural question arises whether similar conditions hold in other approaches to quantum gravity. In this article,…

General Relativity and Quantum Cosmology · Physics 2021-05-03 Jan Chojnacki , Julia Krajecka , Jan H. Kwapisz , Oskar Słowik , Artur Strąg

We study some aspects of fine tuning in inflationary scenarios within string theory flux compactifications and, in particular, in models of accidental inflation. We investigate the possibility that the apparent fine-tuning of the low energy…

High Energy Physics - Theory · Physics 2015-06-11 Jose J. Blanco-Pillado , Marta Gomez-Reino , Konstantinos Metallinos

Thermal inflation was proposed as a mechanism to dilute the density of cosmological moduli. Thermal inflation is driven by a complex scalar field possessing a large vacuum expectation value and a very flat potential, called a `flaton'. Such…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-13 Robert Brandenberger , Aline Favero

In pursuing the intriguing resemblance of the Einstein equations to thermodynamic equations, most sharply seen in systems possessing horizons, we suggest that eternal inflation of the stochastic type may be a fruitful phenomenon to explore.…

General Relativity and Quantum Cosmology · Physics 2011-10-03 Jose Tomas Galvez Ghersi , Ghazal Geshnizjani , Federico Piazza , Sarah Shandera

In this Letter, we briefly review the multi-stream inflation scenario, and discuss its implications in the string theory landscape and the inflationary multiverse. In multi-stream inflation, the inflation trajectory encounters bifurcations.…

High Energy Physics - Theory · Physics 2010-01-15 Yi Wang

We numerically generate the six-dimensional landscape of D3-brane inflation and identify patches of eternal inflation near sufficiently flat inflection points of the potential. We show that reasonable measures that select patches of eternal…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-19 Thomas Hertog , Oliver Janssen

Motivated by the lessons of black hole complementarity, we develop a causal patch description of eternal inflation. We argue that an observer cannot ascribe a semiclassical geometry to regions outside his horizon, because the large-scale…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso , Ben Freivogel , I-Sheng Yang

An outgrowth of the idea of inflation is advanced. In the inflation regime, the singularity condition is broken. Equations which govern inflation are invariant under time reversal, so that they describe deflation as well. Those two…

General Physics · Physics 2009-11-02 Vladimir S. Mashkevich

``Eternal inflation'' is often confused with ``chaotic inflation''. Moreover, the term ``chaotic inflation'' is being used in three different meanings (all of them unrelated to eternal inflation). I make some suggestions in an effort to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Vilenkin

The eternal inflation problem continues to be considered one of standard's cosmology most serious shortcomings. This arises when one considers the effects of "quantum fluctuations" (QF) on the zero mode of inflaton field during a Hubble…

General Relativity and Quantum Cosmology · Physics 2023-11-22 R. L. Lechuga , D. Sudarsky

We consider the long standing puzzle of how to obtain meaningful probabilities in eternal inflation. We demonstrate a new algorithm to compute the probability distribution of pocket universe types, given a multivacua inflationary potential.…

Astrophysics · Physics 2011-01-20 Richard Easther , Eugene A. Lim , Matthew R. Martin

When Inflation is embedded in a fundamental theory, such as string theory, it typically begins when the Universe is already substantially larger than the fundamental scale [such as the one defined by the string length scale]. This is…

General Relativity and Quantum Cosmology · Physics 2010-09-03 Brett McInnes