The cosmology of string theoretic axions welcome to scipp. We show that the cosmological abundance of string axions is much smaller than naive estimates if the hubble scale of inflation, hinf. In mathematics, in particular algebraic geometry, a moduli space is a geometric space whose points represent algebrogeometric objects of some fixed kind, or isomorphism classes of such objects. In rydens introduction to cosmology, we have read chapters 4, 5, and sec.
Cosmology is the science about the structure and evolution of the universe on the large scale, its past, present and future. Moduli stabilization in early superstring cosmology. There are over problems, covering topics from the dynamics of the expanding universe and cmb to cosmology beyond the lambdacdm model and holography. Although the mathematical formalism is essential, some of the main ideas underlying the formalism are simple and it helps to have an intuitive and qualitative notion of these ideas.
Cosmology of theories beyond the sm, superstrings and heterotic strings. Dark radiation is a generic problem in string cosmology, the paper addresses the question of its abundance in this setting. Cosmology is one of the predominant research areas of the contemporary world. Solving the cosmological moduli problem with weak scale in ation. In particular, we will explore if the presence of a large number of spectator elds during in ation can reduce the initial misalignment of the. Problem book on cosmology that includes its spectacular recent achievements. Cosmological moduli problem moduli overclose the universe or ruin nucleosynthesis brusteinsteinhardt. Due to our inherent inability to experiment with it, its origin and evolution has always been prone to wild speculation. That is, the points of a moduli space correspond to solutions of geometric problems.
We show that finite temperature corrections to the scalar potential, in general, induce similar effects and these. Dm halo profile fits cuspy nfw in simulations but rotation curves of galaxies have. They couple to matter with only gravitational strengths, and the decay rate is estimated by. Challenges for moduli stabilization and string cosmology. Cosmological moduli problem, supersymmetry breaking, and. Moduli problem moduli elds are generic in supersymmetricstring theories. However, cosmology was born as a science with the advent of general relativity and the realization that the geometry of spacetime,and thus.
Cosmology is the study of the largescale structure and. Cosmology and moduli fields from the very early days of model building in supergravity models in was realised that moduli. Several solutions to the cosmological moduli problem have been proposed. Moduli ameliorate the axion problem in our first scenario, we imagine that the postinflationary universe is dominated by one or more moduli fields, with reheat temperature tr.
In physics, moduli stabilization refers to the problem of rendering kaluzaklein compactifications stable a kaluzaklein compactification is a model of gravity where spacetime is assumed to be a higher dimensional fiber bundle, with compact fibers of tiny extension, such that the resulting physics looks effectively lowerdimensional, but inheriting extra fields. Such a bold endeavour as cosmology easily captures the imagination, and over recent years there has been increasing demand for cosmology to be taught at university in an accessible manner. The cosmological moduli problem for relatively heavy moduli fields is reinvestigated. The moduli might simply be much more massive than one might have expected from considerations of hierarchy. Advances in modern cosmology have prompted renewed interest in the intersections between religion, theology and cosmology. Using a relativistic geometric approach, it focuses on the general. In order to obtain cobenormalised density perturbations, the stabilised. In this thesis, we shall study this problem in promising multi eld in ationary models which naturally emerge in type iib compacti cations. B1, 1983 model independent properties and cosmological implications of the dilaton and moduli sectors of 4d strings carlos, casas, and quevedo phys. The cosmological moduli problem, supersymmetry breaking and. In this thesis, we shall study this problem in promising multifield inflationary models which naturally emerge in type iib compactifications.
Thermal relics and the cosmological moduli problem alter cosmic expansion salati astroph0207396, chung, everett, and matchev arxiv. Soft terms calculable rich phenomenology distinctive moduli cosmology concrete models of inflation closed vs open string inflaton model independent signatures. Physics 371 is a graduatelevel introduction to cosmology, the study of the structure and evolution of the universe. Elsevier nuclear physics b 449 1995 229247 nuclear physics b solving the cosmological moduli problem with weak scale inflation lisa randall a,b,1, scott thomas c,2 a laboratory for nuclear science and department of physics, massachusetts institute of technology, cambridge, ma 029, usa b institatefor theoretical physics, santa barbara, ca 93106, usa c santa cruz institute for particle. The only extant proposal which may work is intermediate scale inflation as proposed by randall and thomas. Nonthermal cosmology provides a viable alternative to the well motivated thermal scenario. Inflation in string theory, cosmic strings, scale of susy breaking. Such spaces frequently arise as solutions to classification problems. The second chapter is devoted to the cosmological moduli problem and other cosmological problems caused by moduli elds. It is based on modern fundamental physics, astronomy and employs a variety of mathematical methods. Classical general relativity has not changed much since 1972 apart from a great strengthening of its experimental veri.
Landscape of string theory, statistics of flux vacua, cc problem 5. We discuss, more generally, the cosmological issues raised by the pseudoscalar members of moduli multiplets. Moduli spaces are spaces of solutions of geometric classification problems. Traditionally, cosmology was taught, as it was to me, as the tail end of a general relativity course, with a derivation ofthe metric for an expanding universe and a few solutions. The cosmological moduli problem in multifield string. The usual recipe for getting rid of unwanted relics in cosmology is to invoke an early epoch of in.
This potential problem goes under the name of cosmological moduli problem. Moduli stabilization in early superstring cosmology lihui liu while the result for the case of constant scalar mass is r f. Supersymmetry preserving dynamics which could give large masses to the moduli is strongly constrained by cosmology and requires the existence of string vacuum. Laboratory for nuclear science and department of physics. Solving the cosmological moduli problem with weak scale. How are we to solve this moduli problem if it exists. Here it should be stressed that the real problem, that is the cosmological moduli problem, is that if the moduli decay after big bang nucleosynthesis, their decay would change the abundances of the light nuclei. This is a very broad and rapidly developing science. Request pdf the cosmological moduli problem and preheating many models of supersymmetry breaking, in the context of either supergravity or superstring theories, predict the presence of. Relaxing the cosmological moduli problem by lowscale inflation shuyu ho tohoku university, japan in collaboration with f. Zrfqz82odg studies in string cosmology \ pdf studies in string cosmology by amanda weltman vdm verlag dez 2008, 2008. The cosmological moduli problem revisited scott watson syracuse university reevaluating the cosmological origin of dark matter.
There are at least two serious moduli problems in string cosmology. Traditionally, cosmology was taught, as it was to me, as the tail end of a general relativity course, with a derivation ofthe metric for an expanding. Provided that the mass of the dilaton is greater than a few 10s of tev in the mechanisms to be discussed below the natural mass scale is much larger, this would solve the cosmological moduli problem. String moduli can affect early cosmology in dramatic ways role through decay i matter anti matter asymmetry main focus of this talk arxiv. Gravitino production from heavy moduli decay and cosmological. This article, which is intended as a brief introduction to the series of. This book surveys key developments and open issues for graduate students and researchers. An introduction to modern cosmology university of belgrade. Moduli spaces can be thought of as giving a universal space of parameters for the problem. We propose a solution to the horizon problem based on einsteins insight that in the wavefunction collapse something is traveling faster than the speed of light.
The cosmological moduli problem and nonthermal histories of. After summarizing some of the main properties of mtheory and its dualities i show how it can be used to. One of the principle suggestions to solve the cosmological moduli problem2. The process of moduli stabilisation represents step zero towards string phenomenology, as the moduli vevs determine such basic quantities as the string scale and the gauge coupling constants. The cosmology of string theoretic axions tom banks a, michael dine b a department of physics, rutgers university, piscataway, nj 08540, usa. Neuware in this book we study the problem of moduli stabilisation in a cosmological context of string theory. To justify the scheme, however, we first explain two general and important obstacles in string inflation modelbuilding. This is a series of lectures on mtheory for cosmologists. It seems that every cosmology book has its own notation. Several solutions to the cosmological moduli problem have. Introduction to cosmology physics 371 sean carroll. Pdf relaxing the cosmological moduli problem by lowscale. The first is the possibility that moduli dominate the energy density at the time of nucleosynthesis.
Here different solutions are identified if they are isomorphic that is, geometrically the same. We revisit the cosmological history in the presence of light moduli by including possible thermal effects in the scalar potential. In applications to physics, the number of moduli of vector bundles and the. Towards a solution of the moduli problems of string cosmology. Unfortunately, the national bureau of standards has not gotten around to establishing a standard notation for cosmological equations. Axion cosmology resonant instabilities in cosmology and their observational consequences. The second is that they may not find their minima all together.
Typically this leads to a cosmology which is matter dominated from a short time after inflation until just before nucleosynthesis. Relativisticcosmology cosmology has been transformed by dramatic progress in highprecision observations and theoretical modelling. Given moduli potentials, an obvious application is to in. The cosmological moduli problem and nonthermal histories. The manuscript is the rst to carry out a systematic study of the cosmology of the multiple moduli case. Supersymmetry preserving dynamics which could give large masses to the moduli is strongly constrained by cosmology and requires the existence of string vacuum states possessing properties different from. Unlike the thermal case, a nonthermal history would imply a direct connection to fundamental theory and an. One must suppose that there are some such states for which.
Furthermore there are also other important problems, as gravitini overproduction through moduli decay, distortion from the blackbody spectrum of cmb radiation and nally. For this purpose we examine the decay of a modulus field. Supersymmetry preserving dynamics which could give large masses to the moduli is strongly constrained by cosmology and requires the existence of string vacuum states possessing properties different from those of any known vacuuum. In addition to the fact that such points are automatically stationary points of the e. Relaxing the cosmological moduli problem by lowscale inflation. This condition sets a lower bound on their masses of order 50 tev. These chapters, however, parallel what we have done or will be doing in lecture, so you should. Pdf finite temperature effects in modular cosmology. My main motivation was to make the notation as clear as possible for the cosmological novice. I have tried to avoid the other extreme, practised by some of my particle physics colleagues, of writing books on cosmology with the obvious intent of making particle physicists out of every theoretical astronomer. Pdf in stringmtheory with a large compactification radius, some axionlike. Dutta, ks ii remarkably, string moduli offer ways to connect dark matter physics and baryogenesis work near completion. Lecture notes 4, 5, and through the section on dynamics of a flat radiationdominated universe of lecture notes 6. The cosmological moduli problem and preheating request pdf.
M theory and cosmology tom banks department of physics and astronomy rutgers university, piscataway, nj 088550849 email. Relaxing the cosmological moduli problem by lowscale. The cosmological moduli problem, supersymmetry breaking. Introduction to cosmology physics 371 sean carroll, physics department, university of chicago spring quarter, 2006 the wmap wilkinson microwave anisotropy probe satellite, from the wmap home page description. For the purposes of this talk moduli will be massive scalars which interact solely via planck suppressed interactions. Observing a cosmic axion background and the cluster soft excess joseph conlon, oxforduniversity moduli,a 0. The well known cosmological moduli problem regards initial energy stored in the moduli due to a misalignment from its final position during inflation. The cosmological moduli problem coughlan, fischler, kolb, raby, and ross phys. A survey of solutions to the cosmological moduli problem in string theory. Problems with the standard model of cosmology initial conditions dark matter dark energy.