Bayesian measurements of inflation with additional fields

In this talk I will demonstrate how, by introducing additional scalar degrees of freedom, one can measure properties of the inflationary era which may be otherwise inaccessible. Using two explicit examples (the curvaton and a feebly interacting model of dark matter), which introduce new informative priors into the post-inflationary phenomenology, we are able to constrain either the total duration that inflation takes place or its energy scale independently of the tensor-to-scalar ratio.

The `unitarity problem' of Higgs inflation in the light of collapse dynamics

Higgs Inflation is no doubt one of the most favoured models of inflation in present time. But the huge non-minimal coupling of the Higgs field with gravity required for the model to work often raises concern which is dubbed as the 'unitarity problem' of Higgs inflation. We will show that CSL-like collapse dynamics, otherwise applied to inflationary dynamics in order to explain the quantum-to-classical transition of primordial quantum modes, can bring down the value of non-minimal coupling considerably.

CFT Entanglement Entropy and Topological Terms in Gravity

In 2006, Ryu and Takayanagi provided a general recipe on how to compute
entanglement entropy of a Conformal Field Theory using gauge/gravity
duality. This holographic prescription, which considers the extension of
the entangling region from the boundary into an Einstein space bulk, has
produced remarkable insight on general properties of strongly correlated
systems. However, this progress has been made on a rather case-by-case
basis, as it requires proper renormalization of the gravity action in
the bulk.

Observational constraints on inflationary potentials within the quantum collapse framework

The inflationary paradigm is the most successful model for the
generation of primordial perturbations. These perturbations have a
purely quantum origin, while the inhomogeneities and anisotropies
observed today exhibit a classical behavior. The model called Continuous
Spontaneous Localization (CSL) is a proposed mechanism to solve the
measurement problem in quantum mechanics. In this presentation, we will
analyze the theoretical predictions resulting from incorporating the CSL

Extended Cuscuton: Formulation and Cosmology

Among single-field scalar-tensor theories, there is a special class called "cuscuton,"
which is represented as general relativity with a noncanonical scalar field. This theory
has a remarkable feature that scalar perturbations do not propagate on a cosmological
background. We specify a subclass of the (beyond) Horndeski class having this
property and thus extend the framework of cuscuton. We also discuss the stability of
cosmological perturbations in the extended cuscuton models.

Stochastic inflation in a general field space

Inflationary models in non-trivial field spaces encoded by their non-canonical kinetic terms have attracted attentions recently. We have then extended the so-called stochastic formalism to such a general case. This formalism investigates the fluctuation of inflatons treating them as Brownian motions. This work highlights the involved problem of this formalism, related with the mathematical uncertainty of the definition of noise integral. Comparing the correlation functions in the stochastic formalism and quantum field theory, we clarify that this uncertainty cannot be rem


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