2017年度のセミナー

Date/Place May. 23th(Tue.) 15:30-16:30 / H711
Name Takaki Matsumoto (University of Tsukuba)
Title Information metric for the matrix geometry(Slides)
Abstract Noncommutative geometry is a promising candidate for the quantum geometry of space-time. Matrix geometry is known as a typical example of noncommutative geometry and defined by a sequence of some Hermitian matrices. Matrix geometry also appears naturally in describing the fundamental objects in the string/M theory and plays an important role in formulating these theories. However, the relation between the matrix geometry and Riemannian geometry, which plays a crucial role in describing theories of classical gravity, has not been fully understood so far. In order to understand this relation, we introduce a recently proposed method, which is based on the notion of the coherent states. This method makes it possible to relate matrix geometry to smooth differential geometry. In this formulation, we introduce the information metric and show that the information metric works as a Riemannian metric on the corresponding smooth geometry. The information metric is expressed in terms of given matrices and therefore regarded as a new object that characterize the matrix geometry.

 

Date/Place May. 16th(Tue.) 15:30-16:30 / H711
Name Akihiro Ishibashi (Kindai University)
Title BMS Supertranslations and Gravitational Memory(Slides)
Abstract The “memory effect” is the permanent displacement of test particles near infinity produced by radiation burst and is, in principle, a measurable effect. The memory effect has been an active topic of study, particularly with regard to the relationship between the memory, BMS asymptotic symmetry, and soft gravitons. In this talk I will show how BMS supertranslation characterizes the memory effect in 4-dimension, and why they vanish in higher dimensions, by showing explicit calculations of linear perturbation in a simple example, as well as providing a general, nonlinear analysis.

 

Date/Place May. 9th(Tue.) 15:30-16:30 / H711
Name Shinya Kanemura(Osaka University)
Title Higgs as a probe of new physics(Slides)
Abstract The Higgs boson was discovered and its measured property turned out to be consistent with that in the standard model within the current experimental uncertainty. However, the nature of the Higgs boson, the multiplet structure of the Higgs sector and the physics behind the electroweak symmetry breaking remain unknown. On the other hand, there are many reasons to consider new physics beyond the standard model. Details of the Higgs sector are expected to be strongly related to new physics. In this talk, we discuss various aspects of "non-minimal" Higgs sectors and their relation to new physics scenarios. We then discuss how the structure of the Higgs sector can be explored by current and future experiments. We emphasize that the Higgs sector is an important probe of the new physics beyond the standard model.

 

Date/Place Apr. 27th(Thu.) 11:00-12:00 / H711
Name Ryusuke Jinno(IBS-CTPU)
Title Hillclimbing inflation(Slides)
Abstract We propose a new class of inflationary models in which inflation takes place while the inflaton is climbing up a potential hill due to a gravity effect. This mechanism is applicable to inflaton potentials with multiple vacua, and such models typically predict the most preferred region in CMB observations. We discuss possible realizations with the natural inflation potential and the Higgs potential (when the multiple point principle holds). Reference : 1703.09020 (in collaboration with Kunio Kaneta)

 

Date/Place Apr. 26th(Wed.) 14:30-15:30 / H711
Name Masazumi Honda(Weizmann Institute)
Title How to resum perturbative series in supersymmetric gauge theories(Slides)
Abstract Perturbative series in quantum field theory is typically divergent. There is a standard method to resum divergent series called Borel resummation. While perturbative series in typical field theory is expected to be non-Borel summable, it is important to ask when perturbative series is Borel summable and if it is non-Borel summable, what is a correct way to resum the perturbative series. In my talk I will first discuss that we can prove Borel summability of perturbative series in 4d N=2 and 5d N=1 supersymmetric gauge theories with Lagrangians for various observables. It turns out that exact results in these theories can be obtained by summing over the Borel resummations with every instanton number. I also discuss perturbative series in general 3d N=2 supersymmetric Chern-Simons matter theory, which is given by a power series expansion of inverse Chern-Simons levels. We prove that the perturbative series are always Borel summable along imaginary axis. It turns out that the Borel resummations along this direction are the same as exact results. [PRL116,no.21,211601(2016), PRD94, no.2, 025039 (2016) and upcoming paper(s)]

 

Date/Place Apr. 25th(Tue.) 15:30-16:30 / H711
Name Hiromasa Takaura(Tohoku University)
Title Hidden (Λ_QCD)^n structure in perturbative QCD(Slides)
Abstract Perturbative series, which appear in predictions of quantum field theories, are generally divergent. Especially in QCD, this problem causes non-negligible size of uncertainties in perturbative predictions. We formulate a way to remove such uncertainties according to the OPE framework. As a result, we find a non-trivial power dependence on Lambda_QCD inherent in a perturbative prediction. I also argue that such a power behavior is favored from the viewpoint of the analyticity of an observable.

 

Date/Place Apr. 18th(Tue.) 15:30-16:30 / H711
Name Tsukasa Tada(RIKEN)
Title The use of unconventional quantizations for CFT(Slides)
Abstract It is conventionally thought that different time foliations for the quantum field theory lead merely physically equivalent quantizations. Therefore, one may choose whichever time-foliation that suits one's purpose best. There is a caveat, though. In the case of conformal field theories, there exists a singular time-foliation which corresponds to the vanishing point of the Casimir operator, or the “light-cone” for the inherent SL(2, R) symmetry. We show that this singular time-foliation for 2d CFT yields continuous Virasoro algebra implying the continuous spectrum for the system. The phenomenon known as the sine-square deformation in the study of quantum many body systems can be understood in this context. Further, we argue the change of the time foliation poses a very useful perspective on the nature of conformal field theories.

 

Date/Place Apr. 11th(Tue.) 15:30-16:30 / H711
Name Tokiro Numasawa(Osaka University)
Title Projection measurements in CFTs and their gravity duals(Slides)
Abstract In this paper we analyze three quantum operations in two dimensional conformal field theories (CFTs): local projection measurements, creations of partial entanglement between two CFTs, and swapping of subsystems between two CFTs. We also give their holographic duals and study time evolutions of entanglement entropy.

 

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