Chen-Pin Yeh, National Dong-Hwa U
Holographic Description of Negative Energy in Squeezed States
Using the AdS/CFT duality, we study the properties of negative energy in strongly coupled field theories with the general dynamical scaling. The gravitational wave propagates in the Lifshitz background is dual to the squeezed state in the quantum critical theories. The energy density to leading order in the squeezed parameters can oscillate between negative and positive values with the sub-leading term which is always positive and time independent. We showed that this is consistent with the quantum interest conjecture and satisfies the average null energy condition. And we found a constrain on the duration of negative energy.
Yuichiro Tada, IPMU
Stochastic-delta N formalism and massive primordial black holes in hybrid inflation
As a long-studied astrophysical open question, it is known that almost all galaxies possess one or a few supermassive black holes (SMBHs) whose masses reach 10^{6—9.5} M_\odot in their centers. Such SMBHs have been found even at high redshifts as z~6–7 but their production mechanism is still unknown. One possible solution is the primordial black hole (PBH), which is theoretically suggested to be produced by a gravitational collapse of an overdense Hubble patch in the radiation dominant era. It has been proposed that sufficient massive PBHs can be the seeds of SMBHs. In our recent papers, we studied the possibility whether such massive PBHs can be produced in well-know hybrid inflation which is the inflation model ended by a second order phase transition. While that phase transition is roughly estimated to make large curvature perturbations enough to produce PBHs, there have been no quantitatively complete works yet because of the non-perturbative behavior around the critical point. Therefore, we proposed a non-perturbative algorithm to calculate the curvature perturbations at first, combining the stochastic and delta N formalism. Then we performed a wide numerical parameter search to find that PBHs are rather overproduced with the parameters which can make PBHs massive enough. In other words, we showed that massive PBHs cannot be produced with the proper abundance in hybrid inflation, without any specific assumption of the types of hybrid inflation.
Nobuhito Maru, Osaka City University
Predictions of Higgs mass and Weinberg angle in 6D gauge-Higgs unification
We address a question whether there exists a model of gauge-Higgs unification in 6-dimensional space-time, which successfully predicts the Weinberg angle and the mass ratios between Higgs boson and weak gauge bosons.
First, we give a general argument on the condition to get a realistic prediction of the Weinberg angle, and find that triplet and sextet representations of the minimal SU(3) gauge group lead to the realistic prediction.
We notice that in the models with one Higgs doublet, the predicted Higgs mass is always twice the W-boson mass at the leading order.
However, in models with two Higgs doublets, Higgs mass can be smaller than twice the W-boson mass.
Nilakash Sorokhaibam, TIFR
2D Critical Quench, Thermalization and Non-Universality
I will talk about about my last two papers. We studied the long time behaviour of local observables following a quantum quench in 1+1 dimensional conformal field theories possessing additional conserved charges besides the energy. We showed exponential approach to equilibrium of finite sub-interval characterized by a temperature and chemical potentials defined in terms of the quenched state. We compute the exact wavefunction that results from a quantum quench to a vanishing mass, in a large class of examples The resulting wavefunction is of a generalized Calabrese-Cardy form i.e., conformal boundary state deformed by an infinite number of charges. Special squeezed states with small chemical potentials show equilibration to a Generalized Gibbs Ensemble(GGE). By contrast, with general pre-quench states, including the ground state, the chemical potentials are not small; exact correlators in these cases, although equilibrating at long times, do not generically have a simple thermal or GGE form even at large distances. The main lesson is that in 2D critical quench, long time and large distance physics can be sensitive to perturbations by high dimension operators,contrasting general Wilsonian lore.
Bum-Hoon Lee, CQUeST, Sogang U., Korea
Fubini Instantons in curved spacetime
TBA
Masato Nozawa, University of Milan
Supersymmetry of (Euclidean) Plebanski-Demianski solution
The Plebanski-Demianski (PD) solution has played a central role in the development of black-hole physics in general relativity since it describes the most general Petrov D metric in Einstein-Maxwell-Lambda system. Recently, Houri and Yasui have found a new king of nondegenerate rank-2 Killing-Yano (KY) tensor in the self-dual Euclidean PD metric. I will discuss in detail how this makes consistent with the theorem by Houri-Oota-Yasui, according to which the local metric admitting a non-degenerate rank 2 KY tensor must fall into the Carter family. It turns out that this is closely related to the fact that the self-dual PD solution preserves half of supersymmetry, whereas the non-self-dual solution admits only one quarter of supersymmetry. I will also explore the underlying mathematical structure of Euclidean PD solution, such as conformal ambi-Kahler structure and new type of Einstein-Weyl space.
Kei Yagyu, University of Southampton
Synergy between direct and indirect searches of non-minimal Higgs sectors
I would like to review on recent my phenomenological research of non-minimal Higgs sectors especially focusing on two Higgs doublet models.
First, I discuss the direct search for extra Higgs bosons at collider experiments.
Next, I talk about the indirect search which focuses on deviations in the coupling constants of the discovered Higgs boson.
Finally, I discuss the synergy between the direct and indirect searches.
Takuya Kanazawa, RIKEN
Some remarks on topology in QCD at high temperature
QCD topology relevant to anomaly at high temperature has been elusive in the past, but the situation is changing due to rapid progress in lattice simulation techniques. In this regard, it is important to understand the finite-volume effects on topology correctly. I will present a simple analytical argument to grasp physics in a finite volume at high temperature. In addition the role of (non-)analyticity in the QCD Dirac spectra will be discussed.
Dai-suke Takahashi, OIST
Classically conformal U(1)' extended standard model and Higgs vacuum stability
We consider the minimal U(1)’ extension of the standard model (SM) with conformal invariance at the classical level, where in addition to the SM particle contents, three generations of right-handed neutrinos and a U(1)’ Higgs field are introduced. In the presence of the three right-handed neutrinos, which are responsible for the seesaw mechanism, this model is free from all the gauge and gravitational anomalies. The U(1)’ gauge symmetry is radiatively broken via the Coleman-Weinberg mechanism, by which the U(1)’ gauge boson (Z’ boson) mass as well as the Majorana mass for the right-handed neutrinos are generated. The radiative U(1)’ symmetry breaking also induces a negative mass squared for the SM Higgs doublet to trigger the electroweak symmetry breaking. In this context, we investigate a possibility to solve the SM Higgs vacuum instability problem. The model includes only three free parameters (U(1)’ charge of the SM Higgs doublet, U(1)’ gauge coupling and Z’ boson mass), for which we perform parameter scan, and identify a parameter region resolving the SM Higgs vacuum instability. We also examine naturalness of the model. The heavy states associated with the U(1)’ symmetry breaking contribute to the SM Higgs self-energy. We find an upper bound on Z’ boson mass, mZ’ \lesssim 6 TeV, in order to avoid a fine-tuning severer than 10% level. The Z’ boson in this mass range can be discovered at the LHC Run-2 in the near future.
Nobuchika Okada, University of Alabama
Running Non-Minimal Inflation with Stabilized Inflaton Potential