Yosuke Imamura, Tokyo Institute of Technology
The superconformal index from the AdS/CFT correspondence
The superconformal index (SCI) I(q) of a superconformal field theory (SCFT) is a series of q whose coefficients have information of the operator spectrum of the SCFT. Although there is a formula to calculate the SCI exactly for Lagrangian theories, we need to rely on some non-perturbative methods, like dualities, to obtain the SCI of non-Lagrangian theories. In this talk we discuss calculation of SCI with the AdS/CFT correspondence. It is commonly believed that for finite N field theories it is practically impossible to perform exact calculation on the AdS side due to quantum gravity corrections. I will point out that this is not the case for the SCI and propose a new method to calculate the exact SCI on the AdS side. As an application I calculate the SCI of S-fold theories, which are examples of non-Lagrangian SCFTs.
Toyohiro Tsurumaru, Mitsubishi Electric
[Quantum-Physics Seminar] Leftover hashing from quantum error correction: Unifying the two approaches to the security proof of quantum key distribution (in Japanese)
We show that the Mayers-Shor-Preskill approach and Renner’s approach to proving the security of quantum key distribution (QKD) are essentially the same. We begin our analysis by considering a special case of QKD called privacy amplification (PA). PA itself is an important building block of cryptography, both classical and quantum. The standard theoretical tool used for its security proof is called the leftover hashing lemma (LHL). We present a direct connection between the LHL and the coding theorem of a certain quantum error correction code. Then we apply this result to proving the equivalence between the two approaches to proving the security of QKD.
(References)
T. Tsurumaru, “Leftover Hashing From Quantum Error Correction: Unifying the Two Approaches to the Security Proof of Quantum Key Distribution”, in IEEE Transactions on Information Theory, vol. 66, no. 6, pp. 3465-3484, June 2020, (arXiv:1809.05479).
Toru Kojo, Central China Normal University
[QCD theory seminar] Hard- and Soft- Deconfinement from nuclear to quark matter
We propose a novel concept of hard and soft realizations of deconfinement from nuclear to quark matter. Hard Deconfinement takes place when bulk thermodynamics is dominated by the core properties. The energy density and mechanical pressure in a nucleon, which are related to the gravitational form factor in scattering experiments, are found to be consistent with high density constraints known from neutron star phenomenology. Meanwhile Soft Deconfinement is driven by quark exchanges at intermediate distance and begins before Hard Deconfinement happens. To describe this phenomenon we use a model of quantum percolation, and discuss a quantum mechanical problem of quarks hopping among baryons. We describe delocalization of quark wavefunctions as well as the Anderson localization.
Finally we discuss how the quark Fermi sea is developed as nuclear matter transforms into quark matter, and conjecture a scenario leading to a momentum shell model in Quarkyonic Matter.
Yuichiro Tada, Nagoya University
Manifestly covariant theory of stochastic inflation
The stochastic approach to inflation can non-perturbatively treat the superhorizon fluctuations as the classical random noise to go beyond the standard perturbative QFT approach. I first review how this approach enables us to calculate the observable curvature perturbations in a non-perturbative way and how it can be implemented in a numerical program. I then describe the covariance of the stochastic theory and the discretization scheme of the stochastic noise, which are important both theoretically and practically. Mathematically the stochastic noise can be discretized in an arbitrary manner, but we reveal the physically motivated discretization, which ensures the covariance of the stochastic theory on the inflatons’ target manifold.
Koji Hashimoto, Department of Physics, Osaka University
Building bulk from Wilson loops
We provide formulas for holographically building a bulk metric from given expectation values of rectangular Wilson loops. As a corollary, we prove that any confining quark potential necessarily leads to the existence of a bulk IR bottom.
Shi Pi, Kavli IPMU, U. of Tokyo
Some Properties of the Stochastic Induced Gravitational Wave Background
Our universe is fulfilled by stochastic background of gravitational waves with a large range of frequencies, which may have various astrophysical/cosmological origins in the early universe. As our universe is transparent to gravitational wave, it is a fossil recording the information of its generation and how our universe evolves. In this talk I will briefly review the stochastic background of the gravitational waves from the nonlinear coupling of the scalar and tensor perturbations, as well as their connection to the primordial black holes. I will also talk about the properties of the spectrum shape of such waves: infrared scaling and the peak width.
岡隆史, 東京大学物性研究所/マックスプランク複雑物理学研究所
KEK連携コロキウム「物質科学と高エネルギー物理が拓く非平衡物理のフロンティア」
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Yuji Okawa, The University of Tokyo
Nonperturbative definition of closed string theory via open string field theory
In typical examples of the AdS/CFT correspondence, the world-sheet theory with holes in the presence of D-branes is assumed to be equivalent in a low-energy limit to a world-sheet theory without holes for a different background such as $AdS_5 ¥times S^5$. In the case of the bosonic string, we claim under the assumption of this equivalence that open string field theory on $N$ coincident D-branes can be used to provide a nonperturbative definition of closed string theory based on the fact that the $1/N$ expansion of correlation functions of gauge-invariant operators reproduces the world-sheet theory with holes where the moduli space of Riemann surfaces is precisely covered.
Yuji Chinone, RESCEU, U of Tokyo
The results and achievements of the POLARBEAR experiment in the 2010s and its future in the 2020s
POLARBEAR is a ground-based experiment designed to measure polarization of the Cosmic Microwave Background (CMB) at 150 GHz at an elevation of 5,190m in the Atacama Desert in Chile. Our main science goals are for searching for the B-mode signal created by primordial gravitational waves (PGWs) seen at degree scales, as well as for characterizing the B-mode signal from gravitational lensing with high angular resolution seen at sub-degree scales. POLARBEAR was deployed in 2011 and started science observations in 2012 focusing on small patches of the sky (deep survey). In 2014, we started to observe a large patch of the sky focusing on search for PGWs (wide survey). We have published a series of results from the deep survey, including the first/update measurement of a non-zero B-mode auto-power spectrum at sub-degree scales induced by gravitational lensing, constraint of cosmic birefringence and primordial magnetic fields, and demonstration of delensing. We also have achieved the measurement of cross-correlations of gravitational lensing between our CMB data and optical surveys by the Subaru Hyper Suprime-Cam. With the wide survey, we have reported the measurement of large angular scale B-mode signals induced by the Galactic dust foreground and successfully put an upper limit on PGWs. In this talk, I summarize the science results and achievements of the POLARBEAR experiment. I also show the status of Simons Array, which is an upgraded experiment from POLARBEAR and consists of three new receivers. Finally I describe future CMB projects which Japanese institutes have been contributing to.
Masahiro Isaka, Hosei University
Low-lying level structure of p-sd shell Lambda hypernuclei with antisymmetrized molecular dynamics