In this talk I will discuss how differential geometry methods can be applied to the computation of the equilibrium partition function of anomalous fluids, as well as their associated currents. In the case of systems with spontaneous symmetry breaking, a direct calculation of the covariant currents is possible without relying on a previous evaluation of the, usually cumbersome, WZW effective action of Goldstone bosons. As an example, I will present the computation of the anomalous transport coefficients of a two-flavor chiral hadronic superfluid.

The nuMSM is an extended standard model only with three right-handed neutrinos. The characteristic feature of the model is the masses of additional right-handed neutrino is constrained up to the electroweak scale. By this restriction, we cannot simply apply the leptogenesis scenario to produce the lepton asymmetry for the baryogenesis though sphaleron effect. However, the enough amount of the lepton asymmetry can be produced via another mechanism triggered by right-handed neutrino flavor oscillation. In this talk, I will explain the detail of the mechanism and dependence on the initial condition.

Identification of dark matter has been an outstanding problem in physics for decades, and axion (or axion like partciles) is its candidate with great motivations. A number of observations and experiments have tried to detect axion by using the axion-photon conversion by assuming the axion is coupled to photon, while no signal yet to be found. In this talk, I will discuss new techniques to search for axion dark matter by focusing on another phenomena, birefringence, which is caused by the same coupling. The polarimetry observation of protoplanetary disks puts the best constraint on ADM for fuzzy dark matter mass (m = 10^{-22}eV). I also propose a table-top laser-cavity experiment as well as using gravitational wave interferometers to search in the intermediate mass range (10^{-17}eV < m < 10^{-10}eV).

Modern Composite Goldstone-Higgs models bases on a fundamental fermionic theory are promising candidates to dynamically and naturally generate the electroweak symmetry breaking. Apart from the Higgs boson other particles are present in the low energy spectrum. I will discuss the phenomenological implications of this class of models.

Neutral wino is a natural candidate of dark matter in split-supersymmetry. Indirect detection is a promising probe of wino dark matter, with its annihilation enhanced non-perturvatively (i.e. Sommerfeld enhancement). In theoretical prediction, halo formation at the low-mass end is a key ingredient. For this purpose, we investigate kinetic decoupling of wino dark matter and consequent dark matter density perturbations. We show that inelastic processes involving charged wino, which are relevant for kinetic equilibrium at late times, shuts off abruptly. This results in boosted acoustic peaks in density power spectrum at horizon scales around the kinetic decoupling. Based on an analytic modeling of subhalo evolution, we estimate the subhalo mass function of (dwarf) galaxy-sized haloes and effects on the annihilation boost factor. We also discuss an application of our analysis to SU(2)_L multiplet minimal dark matter.

I present a brief overview of some novel detection strategies for ultra-low-mass bosonic dark matter that forms a coherently oscillating classical field. Possible effects of such dark-matter fields include apparent time-varying fundamental constants and time-varying spin-precession effects. These effects can be sought with a diverse variety of high-precision, low-energy (and often table-top) experiments, including: spectroscopy (clock) and optical cavity measurements, laser interferometers, atom interferometers, torsion pendula (fifth-force experiments), magnetic resonance techniques, and astrophysical measurements (such as big bang nucleosynthesis). Existing and new experimental and observational data have allowed us and other groups to improve on previous observational bounds on possible non-gravitational interactions of ultra-low-mass dark matter with ordinary matter by many orders of magnitude.

An overview for the light dark matter will be presented along with the illustration for the complementarity between the cosmology and particle physics probes. The concrete examples include the radio emission from the axion-photon conversion around the neutron star and the cross-correlations between the 21cm and the CMB B mode from the cosmological birefringence.

QCD matter and properties change significantly around the chiral crossover temperature, and so far the effects on chiral observables and thermodynamical quantities have been studied with much care.
Here I present the screening spectrum for light hadrons, which includes chiral partners of mesons as well as different nucleon operators and their parity partners.
Measurements are done with two flavors of chirally symmetric domain-wall fermions at temperatures above the critical one, for different volumes and quark-masses.
Emergent SU(4) and SU(2)_CS symmetries will be discussed, as well as their implications.

For more than one century quantum mechanics has been considered a singular theory, uniquely related to quantum physics. In the past few years it has become clear that all the basic structures of quantum theory naturally emerge from a combination of classical probability with the theory of orthogonal polynomials. In fact any classical random variable has a canonical quantum decomposition as a sum of 3 linear operators called respectively: generalized creation, annihilation and preservation (CAP) operators. These operators satisfy generalized commutation relations (GCR) that are natural extensions of Heisenberg commutation relations and characterize the given random variable in the sense of moments. The Heisenberg commutation relations characterize the Gaussian class which is included in the larger class of measures ”linearly equivalent” to product measures. This larger class is characterized by the property that CAP operators associated to different degrees of freedom commute. Thus usual quantum mechanics belongs to this class. For this class the theory of multi—dimensional orthogonal polynomials is essentially reduced to the tensor product of 1-dimensional cases. For truly interacting random variables (or fields) new commutations relations arise from the commutativity of the multiplication operators associated to different components of the random variable. In this sense non-commutativity arises from commutativity. The construction has functorial properties that generalize the usual Fock functor.

Among the important questions that remain after the success of the standard model, by far the most fundamental would be the understanding of quantum gravity, which is not only of utmost academic interest but also might play the key role in the observational cosmology in an unexpectedly near future.
Although many studies are made on this subject, more often than not, papers on “quantum gravity” actually discuss quantum behavior of matter fields in a (semi-)classical gravity background. Clearly, what is required, however, is a bona fide understanding of the quantization of gravity itself.
In this talk, I wish to make an attempt to
(i) clarify what the essential issues of quantum gravity are,
(ii) survey the present status of our understanding, and
(iii) look for promissing directions of attack,