Hirokazu Sasaki, The University of Tokyo

Neutrino oscillations in core-collapse supernovae and their effects on nucleosynthesis

##### Neutrinos are produced inside astrophysical sites such as the Sun, core-collapse supernovae, blazars and neutron-star mergers. Such neutrinos would change their flavors significantly owing to refractive effects of background electrons and neutrinos themselves. In core-collapse supernovae, large numbers of neutrinos are produced and emitted from the proto-neutron star after core-bounce. It is considered that collective neutrino oscillations are caused by self-interacting neutrinos near the proto-neutron star (~100 km). Such refractive effect increases energetic (anti)electron neutrinos, which is expected to affect supernova explosion and nucleosynthesis. We show a numerical result of neutrino oscillations in core-collapse supernovae and mention how collective neutrino oscillations enhance nucleosynthesis in neutrino-driven winds. Our result would be helpful to more realistic studies to reveal the origin of solar-system isotopic abundances of p-nuclei.

Goro Ishiki, University of Tsukuba

Diffeomorphisms and Berezin-Toeplitz quantization for fuzzy spaces

##### In the matrix model formulations of string/M- theories, geometry of strings/branes is expressed in terms of configurations of matrices. We discuss how the diffeomorphism, which is one of the most important symmetry in the world volume theory of strings and branes, is realized in the configuration space of matrices. We show that the diffeomorphism for matrices can be defined by using the so-called Berezin-Toeplitz quantization. As an example, we consider the fuzzy S^2 and explicitly construct the matrix version of the holomorphic diffeomorphisms on the fuzzy S^2.

Yoshifumi Hyakutake, Ibaraki University

Inflationary Cosmology via Quantum Corrections in M-theory

##### Inflation is a promising scenario to resolve problems of big bang cosmology, such as horizon problem. Although there are a lot of models which realize the inflation, it is natural to explain it in the framework of quantum gravity. In this talk, we consider 11 dimensional M-theory, which consists of the 11 dimensional supergravity and quartic terms of the Weyl tensor, as the theory of quantum gravity, and investigate inflationary cosmology by analyzing the effective action of the M-theory. We will show that the classical solution of the 11 dimensional supergravity does not represent the inflationary expansion, but if we include the quantum corrections, the behavior of the solution around the very early time is modified and the inflationary scenario is realized.

Alexander Kusenko, UCLA and Kavli IPMU

Primordial black holes as dark matter

##### I will discuss new and rather generic scenarios for production of black holes in the early universe. In some mass range, such black holes can account for all dark matter. Primordial black holes can also contribute to synthesis of heavy elements by disrupting neutron stars.

Takeru Yokota, Department of Physics, Kyoto University

Functional renormalization group-aided density-functional theory - application to one-dimensional nuclear matter and two-dimensional electron gas -

##### The functional renormalization group-aided density-functional analysis (FRG-DFT) starts to be applied to realistic models of quantum many-body systems. Recently we have developed a new FRG-DFT formalism, which is suitable for analyzing systems with an infinite number of particles with fixed densities. In this talk, I will present our formalism and our two applications: The first one is the calculation of the equation of state (EOS) and the density-density spectral function of an infinite nuclear matter (NM) in (1+1) dimensions composed of spinless nucleons. The resultant EOS of the NM coincides with that obtained by the Monte-Carlo method within a few percents for the available range of density. We also reproduce a notable feature of the density spectral function of the non-linear Tomonaga-Luttinger liquid: The spectral function has singularities at the edge of its support at the lower-energy side. Subsequently, I will show our FRG-DFT analysis of the two-dimensional homogeneous electron gas, which is the first application of FRG-DFT to two-dimensional systems. We find that the result of FRG-DFT reproduces the exact correlation energy at the high-density limit and is consistent with the Monte-Carlo results for the high- and mid-density cases. Our study demonstrates that the FRG-DFT can be a promising method to analyze quantum many-body systems.

Yu-tin Huang, Department of Physics, National Taiwan University

Build the wall and drain the swamp: positive constraints on EFT from the UV