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## RLE | Colloquium

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 2020N126i΁j16F3018F00 { iVj uEHTɂubNz[̎Bƍ̓W]v Event Horizon TelescopeiEHTj́Aۋ͂ɂnK͂̃~gVLBIϑԂ\zAubNz[̏ڍׂȎBڎwۃvWFNgłB2019N4AEHTvWFNg̏ʂƂāAȉ~M87̒Sɂ鋐ubNz[̎ʐ^JꂽB̉摜ɂ́Aqɑ郊OƃubNz[VhEʂĂAM87̒Sɑz65{̎ʂubNz[݂邱Ƃ炩ɂȂB{uł́AEHT2019N̏ʂɂĉ͎@摜瓾M87̃ubNz[̕ȂǂɂďЉƂƂɁǍ̐iэ̓W]ɂĂqׂB { IC

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 2021N119i΁j16F3018F00 v iOOwj u􉽗_ɂ錷wiv 􉽗_͌_̔ۓ_I莮̈̌łB܂A􉽗_̒ɂĕKB􉽗_́Al̂̈̃NXł錷l̏̏d͗_łBɌl̏̔Cӂ̏d͗_ɂāARwi܂̃j[gɌƂƁAR̒_̑SI[_[̐ۓ_Č邱ƂB܂A10d͔wi􉽗_̏̔zʂɊ܂܂Ă邱ƂB̔zʂ͌􉽎ԂɈ˂Ȃ߁AGlM[邱ƂłBd͗_̉^𖞂wĩGlM[ŏwi肷ƂȂBwi肳΁Â܂̂炬W͌^oA𒴂ۂ̗\𓾂邱Ƃ҂B { IC

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 2021N112i΁j16F3018F00 gc i_ˑwj ucFɂ鏉ٓ_ɂāv {uł́Aٓ_ւ̃{gAbvIAv[łȗ_̏ٓ_ւ̉pЉ܂BɁAcFɑ݂ٓ_̍\ƂāAFc̎w֐̂ɋNȗٓ_ƉF̔񎩖ȃg|W[ɋNٓ_ЉAȗ_Ƃ̊֘Ac_܂B { IC

### _wRLEifqj

 2020N1222i΁j16F3018F00 v h iswj "Fermi gas approach to general rank theories and quantum curves" Three-dimensional N=4 superconformal Chern-Simons theory described by circular quiver diagram is interesting because, for example, it can be considered to be the worldvolume theory of M2-branes. The partition function on S^3 can be reduced to a matrix model by using so-called supersymmetric localization technique. However, it was still difficult to study the matrix model non-perturbatively. To overcome this difficulty, a technique was developed to rewrite the matrix model into the partition function of ideal Fermi gas. This technique is called Fermi gas formalism (FGF). The FGF was applied to the circular quiver theories where all nodes have the same ranks. On the other hand, it was nontrivial whether the FGF could be applied to theories with different ranks. In this talk, we show the result of FGF for general rank theories. We also discuss the applications of our results. For example, the Hanany-Witten transition predicts that some matrix models are equal, and our result can be used to show the equality. We also show other non-trivial relations. Another application is that the relation between the matrix model with rank deformations and a quantum curve became clear. This is an extension of the relation in the absence of rank deformations. { IC

### _wRLEiFj

 2020N1215i΁j16F3018F00 ؓ i}bNXEvNd͕wj uAq̂̐lfǑƍ̓W]v d͔gCxgGW170817ɂďd͔g܂ރ}bZW[V̕w{iIɖJBAq̗̂_f̍\źAϑ\yщ߂Ŗ{IȖʂBɐlΘ_ƌĂ΂鐔lV~[Vɂ郂fO͕KvsłB}bNXvNd͕wComputational Relativistic Astrophysics division̖͂ɒNgłB{ułGW170817yѕtdgϑ̃r[A_fǑAW]ɂďЉ\łB { IC

### _wRLEifqj

 2020N128i΁j16F3018F00 Έ M iswj "Resonating AdS soliton" Non-stationary oscillating geometry can be obtained by nonlinearly extending normal modes in asymptotically AdS space. In this talk, I will construct what I call the resonating AdS soliton as the nonlinear extension of the modes dual to spin-2 glueball excitations of the AdS soliton. In particular, in five dimensions, I obtain the solution as a cohomogeneity-1 metric. It is shown that the holographic stress energy tensor of the resonating AdS soliton is time periodic, which is interpreted to give a coherently excited state in the dual field theory. The energy of the resonating AdS soliton is found to be higher than that of the undeformed AdS soliton, in accordance with the positive energy conjecture proposed by Horowitz and Myers. This talk is based on arXiv:2006.12783. { IC

### _wRLEiFj

 2020N123i؁j17F10~18F50 c Y i_ˑwj uANVInHzd͔gv ŋ߁ANANOGravϑ[A̕s̐MϑƔ\B ̐MANVIÍ̐Mł\c_B ANVI̎ʂ10^{-14}GeVł΁A傤nHzd͔gɑΉ邱ƁA ANVI̕萔10^{17}GeVł΁ANANOGrav̊ϑł邱ƂB _IɎRȕ萔10^{16}GeV̏ꍇł SKAϑŊϑ\ȑ傫̉~΋ɏd͔g邱ƂB { IC@iuɂ͎Oo^KvłB₢킹 tsutomu rikkyo.ac.jpj

### _wRLEifqj

 2020N1117i΁j16F3018F00 v iÉwj "On exact-WKB analysis, resurgent structure, and quantization conditions" There are two well-known approaches to studying nonperturbative aspects of quantum mechanical systems: saddle point analysis of the partition functions in Euclidean path integral formulation and the exact-WKB analysis based on the wave functions in the Schroedinger equation. In this work, based on the quantization conditions obtained from the exact-WKB method, we determine the relations between the two formalism and in particular show how the two Stokes phenomena are connected to each other: the Stokes phenomenon leading to the ambiguous contribution of different sectors of the path integral formulation corresponds to the change of the gtopologyh of the Stoke curves in the exact-WKB analysis. We also clarify the equivalence of different quantization conditions including Bohr-Sommerfeld, path integral and Gutzwillerfs ones. In particular, by reorganizing the exact quantization condition, we improve Gutzwillerfs analysis in a crucial way by bion contributions (incorporating complex periodic paths) and turn it into exact results. Furthermore, we argue the novel meaning of quasi-moduli integral and provide a relation between the Maslov index and the intersection number of Lefschetz thimbles. { IC

### _wRLEiFj

 2020N1110i΁j16F3018F00 ēc _ i哯wj u͌nS̋ubNz[ɂd͗_/ubNz[̌؁v X̋͂̒Sičjɂ́Cdg Sgr A*ičAX^[jmFĂB̎̐XiS-starsj̉^̑肩CSgr A* ͎ʂz̖400{̋ubNz[ƋĂBi̎̑IȐԊOϑC2020Nm[x܂50łBj S-stars ̒ S0-2 ƌĂ΂鐯i]16Nj́C2018N5 Sgr A* ŋߓ_ʉ߂B 2014N炷΂]S0-2̃j^[ϑ𑱂ĂC2018N̑f[^̓j[gd͂ł͐ȂƂ𖾂炩ɂłij[gd͂͋pꂽjB݁CS0-2̑f[^ɍłvd͗_c_邽߂ɁCvʂ Parametrized post-NewtoniPPNjWJ̕@ŏd͗_̃eXgixCYv́j{łB ̔\ł́CSgr A* ɂ܂錤̊TvЉCPPN eXg̐i󋵂񍐂B { IC

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 2020N1027i΁j16F3018F00 ] iIPMUj "The O(N) model with ^6 potential in R^2~R^+" In this talk I will argue the large N limit of the O(N) model with classically marginal ^6 interaction in three dimensions in the presence of a planar boundary. This theory exhibits an approximate conformal symmetry at large N, then we can treat it as Boundary Conformal Field Theory(BCFT). Taking the advantage of this fact, I will compute large N effective potential, two-point functions of the conserved current and the stress energy tensor, which allow us to determine boundary anomaly coefficients in the trace of the stress tensor. I will then consider bulk and boundary conformal block decomposition of two-point functions. Finally I will explain how anomaly coefficients depend on quasi-marginal ^6 coupling. This talk is based on a collaboration with Christopher Herzog. { IC

### _wRLEifqj

 2020N1013i΁j16F3018F00 [J p iwj "A physicist-friendly reformulation of the Atiyah-Patodi-Singer index" The Atiyah-Patodi-Singer index theorem describes the bulk-edge correspondence of symmetry protected topological insulators. The mathematical set-up for this theorem is, however, not directly related to the physical fermion system, as it imposes on the fermion fields a non-local and unnatural boundary condition known as the "APS boundary condition" by hand. In 2017, we showed that the same integer as the APS index can be obtained from the eta invariant of the domain-wall Dirac operator in four-dimensional flat space. Recently we gave a mathematical proof that the equivalence is not a conincidence but generally true on any even-dimensional curved manifold. This talk is based on the following papers, Fukaya, Onogi, Yamaguchi, PRD96(2017) no.12, 125004 [arXiv: 1710.03379] Fukaya, Furuta, Matsuo, Onogi, Yamaguchi, Yamashita, arXiv:1910.01987 (to appear in CMP) Fukaya, Kawai, Matsuki, Mori, Nakayama, Onogi, Yamaguchi, PTEP 2020 (2020) 4, 043B04 [arXiv:1910.09675]. { IC

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 2020N106i΁j16F3018F00 rc u iSapienza University of Romej "No-hair theorem and spontaneous scalarization of BHs" ߔNA񎩖ȃXJ[ubNz[(BH)@\ƂāABH̎IXJ[ƌĂ΂錻ۂڂĂBIXJ[NBH̎ɂ̓XJ[ꂪ񎩖ȔzʂB {uł́Aђ藝ЉɁABH̎IXJ[ɂčŋ߂ B { IC

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 2020N929i΁j16F3018F00 V c iswj "Generalized Giveon-Kutasov duality" {uł͂RΏChern-SimonsQ[W_ɊւoΐuGiveon-Kutasov dualityv ̈ʉЉBQ[WQU(N)̏ꍇAChern-Simonsʉ邱ƂłASU(N)Q[WQɑ΂oΐ܂Ŋ܂񂾑oΐ̓IȋLq^邱ƂłB̗_ɂAʎq_IN[̎舵Aoΐ̌؂sBŌɁAʉꂽGiveon-Kutasovoΐ̉pЉB { IC

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 2020N721i΁j16F3018F00 ȁ@l iHƑwj "Half-hypermultiplets and incomplete/complete resolutions in F-theory" I will talk about resolutions of codimension-two enhanced singularities from SO(12) to E7 and E7 to E8 in six-dimensional F-theory compactifications, where half-hypermultiplets arise for generic complex structures achieving them. The exceptional fibers at the enhanced point exhibit different structures depending on how the colliding 7-brane approaches the stack of gauge 7-branes, as previously observed by Morrison and Taylor in the case of the enhancement from SU(6) to E6. When the colliding brane approaches them as O(s), where s is the coordinate of the base space along the gauge 7-branes, the resolution process ends up with fewer exceptional fibers than naively expected from the Kodaira classification, with a non-Dynkin intersection matrix including half-integral intersection numbers. We confirm that the exceptional fibers at the enhanced point form extremal rays of the cone of the positive weights of the relevant pseudo-real representation, explaining why a half-hypermultiplet arises there. By altering the ordering of the singularities blown up in the process, we obtain, for both SO(12) -> E7 and E7 -> E8, the intersection diagram on every other row of the corresponding box graphs. We present detailed derivations of the intersection diagrams of the exceptional fibers at the singularity enhanced points by examining how an exceptional curve is lifted up on the chart arising due to the subsequent blowing-up process. When the colliding brane approaches the stack of branes as O(s^2), we obtain additional conifold singularity at the enhanced point, which completes the full Dynkin diagram of the enhanced group as was found previously. This talk is based on a collaboration with Shunfya Mizoguchi and Taro Tani. {(Japanese) IC

### _wRLEiFj

 2020N77i΁j16F3018F00 q _ iHƑwj "Scaled-up Electroweak Baryogenesis" ̃Z~i[ł́AXlĂfqW͌^𒴂VȖ͌^ЉA̖͌^ŎoI̋@\ɂċc_B܂A̐V͌^ւ̉̐Aꎟ]ڗȐd͔gϑɂĂAԂ̋c_sB We propose a new framework that a phase transition associated with a gauge symmetry breaking occurring (not far) above the electroweak scale sets a stage of baryogenesis similar to the electroweak baryogenesis in the Standard Model. A concrete realization utilizes the breaking of $SU(2)_R \times U(1)_X \rightarrow U(1)_Y$. New chiral fermions charged under the extended gauge symmetry have nonzero lepton numbers, which make the $B-L$ symmetry anomalous. The new lepton sector contains a large flavor-dependent CP violation, similar to the Cabibbo-Kobayashi-Maskawa phase, without inducing sizable electric dipole moments. A bubble wall dynamics associated with the first-order phase transition generates a $L$ asymmetry, which is transferred into a $B$ asymmetry via the ordinary electroweak sphaleron process. Unlike the Standard Model electroweak baryogenesis, the new phase transition can be of strong first order and the new CP violation is not significantly suppressed by Yukawa couplings, so that the observed asymmetry is easily realized. The model can be tested by the interplay of collider searches and gravitational wave detections. {(Japanese) IC

### _wRLEiFj

 2020N72ij15F2017F00 s ikwj uubNz[̋NFI~ɂ鋐启̌v X̋͌n͂߁Ax傫ȋ͂̒Sɂ͑zʂ100{ 10{x̋ubNz[݂Ă邪A̋N͓ɕ܂ĂB FaA10NɖȂɂĂ̂悤ȋubNz[ Ă邱ƂAubNz[̋N͉FɂA ƂȂubNz[̐ԂZƂAŏ̎펿ʂʏ Ƒ县ʂȂ̂]܂ƍlB {uł́Â悤ȑ县ʂ̎ubNz[ƂčlViI TςŁAŋ߁AX񏥂uI~vɂ鋐启̌ ̏d͕ɂubNz[ߒڏqB܂ŎnKX Ȋł͋启ꂦ邱Ƃ͒mĂÂ悤Ȋ ɂ߂ċHłA͒SɕՓIɑ݂鋐ubNz[̎ƂĂ ȂBAȌƎ˂̂̂ł̔ʂ̏df܂ނ悤ȃKX ߒ𐔒lV~[VƂAKX̕ɂ萯cA \鐯͋IɎ͂̃KXlĐ̂́Ał傫Ȑ ̒Sɑ݂āAقړƐIɑ葽̃KX~ĐA 10zʈȏ̋ȐƂȂd͕󂷂邱ƂB̂悤ɋ O́AʏAʂ̏dfĂƂ񂪂A nKX̏ꍇɔׂđ̎ubNz[𐶐łƗ\zB {(Japanese) ICiOo^KvłB₢킹Fharada rikkyo.ac.jpj

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 2020N630i΁j16F3018F00 { iswj "Digital Quantum Simulation of the Schwinger Model with Topological Term via Adiabatic State Preparation" I am going to talk about application of quantum computation to numerical simulation of quantum field theory. Specifically we implement a digital quantum simulation of a gauge theory with a topological term in Minkowski spacetime, which is practically inaccessible by standard lattice Monte Carlo simulations. We focus on 1+1 dimensional quantum electrodynamics with the -term known as the Schwinger model. We construct the true vacuum state of a lattice Schwinger model using adiabatic state preparation which, in turn, allows us to compute an expectation value of the fermion mass operator with respect to the vacuum. Upon taking a continuum limit we find that our result in massless case agrees with the known exact result. In massive case, we find an agreement with mass perturbation theory in small mass regime and deviations in large mass regime. We estimate computational costs required to take a reasonable continuum limit. Our results imply that digital quantum simulation is already useful tool to explore non-perturbative aspects of gauge theories with real time and topological terms. This talk is based on a collaboration with Bipasha Chakraborty, Taku Izubuchi, Yuta Kikuchi, Akio Tomiya. {(Japanese) IC

### _wRLEifqj

 2020N616i΁j16F3018F00 ۉȁ@G iwj "An application of quantum logic to quantum field theory" Formal-logical approaches to quantum physics originate from the work of Birkhoff and von Neumann in 1936. Since then, these kinds of approaches have been studied in mathematics, physics, logic, and philosophy. In this talk, we first sketch research backgrounds of this area, and introduce our motivations. Then we talk about our recent work, gDynamic Logic of Quantum Field Theoryh [2002.12203]. If time allows, we shall present further research topics in which we are interested. {(Japanese) IC

### _wRLEiFj

 2020N69i΁j16F3018F00 ߐ q iw Fj ud͔gŒTFNV́v d͔gϑ̃C^[Qbg̓RpNgÂłB̂܂ł̃^CXP[͐NFNȏƔɒ߁AFɂłAd͔gŊϑ邱ƂŉF̐i𖾂炩ɂł邩ȂB{\ł͏㐯NAubNz[̎ʁAXsAϑƏϑɂċc_B {(Japanese) IC

### _wRLEifqj

 2020N62i΁j16F3018F00 EM iÉwj "Towards elucidation of quantum criticality in the presence of quantum gravitational field" In statistical mechanics, a long-range correlation emerges due to a divergent fluctuation of a physical quantity and this is called the critical phenomenon. In particular, critical phenomena at the zero temperature are dubbed quantum critical phenomena because they are triggered by quantum fluctuations. In this talk, I will discuss quantum criticalities in the presence of quantum gravitational field. After explaining the motivation and the background of this study, I will introduce a particular model, the Ising model on 2d dynamical triangulations, and discuss its quantum criticality introducing an external parameter to the system and slightly modifying the underlying lattice structure. Then I will show that one can reach the quantum critical point with tuning the parameter to a certain value. As it turns out, physics at the zero temperature is quite sensitive about how we cool down the system. I will also show the existence of a continuous parameter that characterizes the way one approaches the quantum critical point and it may enter in a critical exponent. The talk will be based on Phys.Rev. D98 (2018) no.2, 026026 and arXiv:2003.08524 [hep-th]. {(Japanese) IC

### _wRLEiFj

 2020N526i΁j16F3018F00 c k iwrbOoFیZ^[j uFƂ (fq) F_Iہv FermiɂTeVu[U[̊ϑ͖{͂̃JXP[hGeVK}oĂȂB ͋͊ԂɎꂪƂΐłÂ悤Ȏ̋NFɋ߂邱Ƃ͋[\̈łB{uł́AF̓d㑊]ڑO(nCp[)ꂪꂽꍇNAfqIF_̊ϓ_ʔۂЉB ɁA(nCp[)ꂪwVeBĂȂ΁AfqW͌^̃JCʎqُʂāA d㑊]ڑOё]ڎɕΏ̂邱ƂɒڂB̋@\̂ɂ͑fqW͌^𒴂͕KvƂꂸAꐶɂW͌^zKvƂ̂łB{uł͂̋@\TA̍ՂƂĂ̋͊Ԏꂪǂ̂悤ȓׂЉBɁÂ悤Ȏ悤ȋ@\ƂāACt[VAAtbN_C@\AJCCs@\ЉB {(Japanese) IC

### _wRLEifqj

 2020N519i΁j16F3018F00 PT iwj "Nuclear states and spectra in holographic QCD" A new method to study nuclear physics via holographic QCD is proposed.Multiple baryons in the Sakai-Sugimoto background are described by a matrix model which is a low energy effective theory of D-branes of the baryon vertices.We study the quantum mechanics of the matrix model and calculate the eigenstates of the Hamiltonian. The obtained states are found to coincide with known nuclear and baryonic states, and have appropriate statistics and charges. Calculated spectra of the baryon/nucleus for small baryon numbers show good agreement with experimental data.For hyperons, the Gell-Mann--Okubo formula is approximately derived.Baryon resonances up to spin 5/2 and isospin 5/2 and dibaryon spectra are obtained and compared with experimental data.The model partially explains even the magic numbers of light nuclei, N=2, 8 and 20. {(Japanese) IC

### _wRLEiFj

 2020N512i΁j16F3018F00 u iwj "Testing gravity theories with cosmic microwave background in the degenerate higher-order scalar-tensor theory" {uł́AF}CNgwi˂̊ϑɂd͗_̌؂ɊւĂb܂BAłLNX̏d͗_łukލKXJ[Ee\iDHOSTj_ṽ{c}\o[ cmb2nd ւ̎܂̂ŁǍʂɂāA CMB ϑłǂ̒x̌؂\ł邩c_܂B {(Japanese) IC

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