Home

International Symposium

Frontiers in Mathematical Physics

January 6 [Fri] - 9 [Mon], 2017

Date:

January 6 (Fri) - 9 (Mon), 2017 Venue:

Rikkyo University, Ikebukuro Campus

Access to Rikkyo University (Ikebukuro Campus) Campus Map (Ikebukuro Campus)

Registration Fee: JPY 1,000

Banquet will be held on January 8, 2017 (Banquet fee: JPY 3,000 ).

Invited Speakers:

Search this site

Frontiers in Mathematical Physics

2/2 ページ https://sites.google.com/a/rikkyo.ac.jp/fmp2017/

Vladimir Bazhanov (ANU)

Jean-Sebastien Caux (Amsterdam) Ivan Corwin (Columbia)

Philippe Di Francesco (CEA-Saclay) Rajesh Gopakumar (ICTS-TIFR) Kazuhiro Hikami (Kyushu)

Kazuo Hosomichi (NTU) Igor R. Klebanov (Princeton) Zohar Komargodski (Weizmann) Shota Komatsu (Perimeter) Shiraz Minwalla (TIFR) Tomoki Nakanishi (Nagoya) Masato Okado (OCU/OCAMI) Kazumi Okuyama (Shinshu)

David Simmons-Duffin (Princeton IAS) Herbert Spohn (TUM)

Yuji Tachikawa (IPMU) Tadashi Takayanagi (YITP) Kazumasa Takeuchi (TITECH) Organizing committee:

Tohru Eguchi (Rikkyo), Yasuaki Hikida (YITP), Keiichi R. Ito (Rikkyo), Michio Jimbo (Rikkyo), Saburo Kakei (Rikkyo), Yoichi Kazama (Rikkyo), Atsuo Kuniba (Tokyo), Yu Nakayama (Rikkyo),

Tomohiro Sasamoto (TITECH),

Research Center for Mathematical Physics, Rikkyo Universty Website Links:

Rikkyo Research Center for Mathematical Physics (In Japanese) Rikkyo University

ログイン | 不正行為を報告 |印刷用ページ| Powered By Google サイト

㻶㼍㼚㼡㼍㼞㼥㻌㻣㻌㻔㻿㼍㼠㻚㻕㻶㼍㼚㼡㼍㼞㼥㻌㻤㻌㻔㻿㼡㼚㻚㻕㻶㼍㼚㼡㼍㼞㼥㻌㻥㻌㻔㻹㼛㼚㻚㻕

㻝㻜㻦㻜㻜㻙㻝㻝㻦㻜㻜㻰㼕㻌㻲㼞㼍㼚㼏㼑㼟㼏㼛㻮㼍㼦㼔㼍㼚㼛㼢㻿㼕㼙㼙㼛㼚㼟㻙㻰㼡㼒㼒㼕㼚

㻝㻝㻦㻜㻜㻙㻝㻝㻦㻝㻡

㻝㻝㻦㻝㻡㻙㻝㻞㻦㻝㻡㻷㼛㼙㼍㼠㼟㼡㻺㼍㼗㼍㼚㼕㼟㼔㼕㻴㼛㼟㼛㼙㼕㼏㼔㼕

㻝㻞㻦㻝㻡㻙㻝㻠㻦㻜㻜

㻝㻠㻦㻜㻜㻙㻝㻡㻦㻜㻜㼀㼍㼗㼍㼥㼍㼚㼍㼓㼕㻻㼗㼡㼥㼍㼙㼍㻯㼍㼡㼤

㻝㻡㻦㻜㻜㻙㻝㻡㻦㻟㻜

㻝㻡㻦㻟㻜㻙㻝㻢㻦㻟㻜㻹㼕㼚㼣㼍㼘㼘㼍㻳㼛㼜㼍㼗㼡㼙㼍㼞㼀㼍㼗㼑㼡㼏㼔㼕

㻝㻢㻦㻟㻜㻙㻝㻣㻦㻟㻜㻻㼗㼍㼐㼛㻯㼛㼞㼣㼕㼚㻿㼜㼛㼔㼚

㻮㼍㼚㼝㼡㼑㼠㻔㻝㻤㻦㻜㻜㻕

㼂㼑㼚㼡㼑㻦㻌㻹㻟㻜㻞㻘㻌㻹㼏㻷㼕㼙㻌㻴㼍㼘㼘㻌㻔㼎㼘㼐㼓㻚㻌㻝㻡㻕

㻵㼚㼢㼕㼠㼑㼐㻌㻿㼜㼑㼍㼗㼑㼞㼟㻦㼀㼕㼠㼘㼑㼟㻦

㼂㼘㼍㼐㼕㼙㼕㼞㻌㻮㼍㼦㼔㼍㼚㼛㼢㻌㻔㻭㻺㼁㻕㻮㼡㼗㼔㼢㼛㼟㼠㼛㼢㻙㻸㼕㼜㼍㼠㼛㼢㻌㻹㼛㼐㼑㼘㻌㼍㼚㼐㻌㻰㼡㼍㼘㼕㼠㼥㻌㼛㼒㻌㻽㼡㼍㼚㼠㼡㼙㻌㼍㼚㼐㻌㻯㼘㼍㼟㼟㼕㼏㼍㼘㻌㻿㼥㼟㼠㼑㼙㼟㻶㼑㼍㼚㻙㻿㼑㼎㼍㼟㼠㼕㼑㼚㻌㻯㼍㼡㼤㻌㻔㻭㼙㼟㼠㼑㼞㼐㼍㼙㻕㻰㼥㼚㼍㼙㼕㼏㼟㻌㼍㼚㼐㻌㻾㼑㼘㼍㼤㼍㼠㼕㼛㼚㻌㼕㼚㻌㻵㼚㼠㼑㼓㼞㼍㼎㼘㼑㻌㻽㼡㼍㼚㼠㼡㼙㻌㻿㼥㼟㼠㼑㼙㼟

㻵㼢㼍㼚㻌㻯㼛㼞㼣㼕㼚㻌㻔㻯㼛㼘㼡㼙㼎㼕㼍㻕㻿㼠㼛㼏㼔㼍㼟㼠㼕㼏㻌㻽㼡㼍㼚㼠㼡㼙㻌㻵㼚㼠㼑㼓㼞㼍㼎㼘㼑㻌㻿㼥㼟㼠㼑㼙㼟

㻼㼔㼕㼘㼕㼜㼜㼑㻌㻰㼕㻌㻲㼞㼍㼚㼏㼑㼟㼏㼛㻌㻔㻯㻱㻭㻙㻿㼍㼏㼘㼍㼥㻕㻹㼍㼏㼐㼛㼚㼍㼘㼐㻌㻻㼜㼑㼞㼍㼠㼛㼞㼟㻘㻌㼒㼞㼛㼙㻌㻯㼘㼡㼟㼠㼑㼞㻌㻭㼘㼓㼑㼎㼞㼍㻌㼠㼛㻌㻱㼘㼘㼕㼜㼠㼕㼏㻌㻴㼍㼘㼘㻌㻭㼘㼓㼑㼎㼞㼍㻾㼍㼖㼑㼟㼔㻌㻳㼛㼜㼍㼗㼡㼙㼍㼞㻌㻔㻵㻯㼀㻿㻙㼀㻵㻲㻾㻕㻯㼛㼚㼒㼛㼞㼙㼍㼘㻌㻮㼛㼛㼠㼟㼠㼞㼍㼜㻌㼕㼚㻌㻹㼑㼘㼘㼕㼚㻌㻿㼜㼍㼏㼑

㻷㼍㼦㼡㼔㼕㼞㼛㻌㻴㼕㼗㼍㼙㼕㻌㻔㻷㼥㼡㼟㼔㼡㻕㼝㻙㻿㼑㼞㼕㼑㼟㻌㼍㼚㼐㻌㻽㼡㼍㼚㼠㼡㼙㻌㻵㼚㼢㼍㼞㼕㼍㼚㼠㼟

㻷㼍㼦㼡㼛㻌㻴㼛㼟㼛㼙㼕㼏㼔㼕㻌㻔㻺㼀㼁㻕㼂㼛㼞㼠㼑㼤㻌㻰㼑㼒㼑㼏㼠㼟㻌㼕㼚㻌㻞㻰㻌㻿㼁㻿㼅㻌㻳㼍㼡㼓㼑㻌㼀㼔㼑㼛㼞㼕㼑㼟㻵㼓㼛㼞㻌㻾㻚㻌㻷㼘㼑㼎㼍㼚㼛㼢㻌㻔㻼㼞㼕㼚㼏㼑㼠㼛㼚㻕㻾㼍㼚㼐㼛㼙㻌㼀㼑㼚㼟㼛㼞㼟㻌㼍㼚㼐㻌㻹㼑㼘㼛㼚㼕㼏㻌㻸㼍㼞㼓㼑㻌㻺㻌㻸㼕㼙㼕㼠㼟

㼆㼛㼔㼍㼞㻌㻷㼛㼙㼍㼞㼓㼛㼐㼟㼗㼕㻌㻔㼃㼑㼕㼦㼙㼍㼚㼚㻕㻭㼚㻌㻭㼚㼛㼙㼍㼘㼥㻌㼕㼚㻌㼅㼍㼚㼓㻙㻹㼕㼘㼘㼟㻌㼀㼔㼑㼛㼞㼕㼑㼟㻌㼍㼚㼐㻌㻵㼠㼟㻌㻵㼙㼜㼘㼕㼏㼍㼠㼕㼛㼚㼟

㻿㼔㼛㼠㼍㻌㻷㼛㼙㼍㼠㼟㼡㻌㻔㻼㼑㼞㼕㼙㼑㼠㼑㼞㻕㻴㼑㼤㼍㼓㼛㼚㼍㼘㼕㼦㼍㼠㼕㼛㼚㻌㼛㼒㻌㻯㼛㼞㼞㼑㼘㼍㼠㼕㼛㼚㻌㻲㼡㼚㼏㼠㼕㼛㼚㼟㻌㼕㼚㻌㻺㻩㻠㻌㻿㼡㼜㼑㼞㻌㼅㼍㼚㼓㻙㻹㼕㼘㼘㼟㻿㼔㼕㼞㼍㼦㻌㻹㼕㼚㼣㼍㼘㼘㼍㻌㻔㼀㻵㻲㻾㻕㻮㼘㼍㼏㼗㻌㻴㼛㼘㼑㻌㻰㼥㼚㼍㼙㼕㼏㼟㻌㼍㼠㻌㻸㼍㼞㼓㼑㻌㻰

㼀㼛㼙㼛㼗㼕㻌㻺㼍㼗㼍㼚㼕㼟㼔㼕㻌㻔㻺㼍㼓㼛㼥㼍㻕㻰㼕㼘㼛㼓㼍㼞㼕㼠㼔㼙㻌㻵㼐㼑㼚㼠㼕㼠㼕㼑㼟㻌㼕㼚㻌㻯㼘㼡㼟㼠㼑㼞㻌㻭㼘㼓㼑㼎㼞㼍㼟㻌㼒㼞㼛㼙㻌㻴㼍㼙㼕㼘㼠㼛㼚㼕㼍㼚㻛㻸㼍㼓㼞㼍㼚㼓㼕㼍㼚㻌㻼㼛㼕㼚㼠㻌㼛㼒㻌㼂㼕㼑㼣㻹㼍㼟㼍㼠㼛㻌㻻㼗㼍㼐㼛㻌㻔㻻㻯㼁㻛㻻㻯㻭㻹㻵㻕㻵㼚㼠㼑㼓㼞㼍㼎㼘㼑㻌㻿㼠㼛㼏㼔㼍㼟㼠㼕㼏㻌㻹㼛㼐㼑㼘㼟㻌㼍㼚㼐㻌㻽㼡㼍㼚㼠㼡㼙㻌㻳㼞㼛㼡㼜㼟

㻷㼍㼦㼡㼙㼕㻌㻻㼗㼡㼥㼍㼙㼍㻌㻔㻿㼔㼕㼚㼟㼔㼡㻕㻽㼡㼍㼚㼠㼕㼦㼍㼠㼕㼛㼚㻌㼛㼒㻌㻸㼛㼏㼍㼘㻌㻼㼊㻞㻰㼍㼢㼕㼐㻌㻿㼕㼙㼙㼛㼚㼟㻙㻰㼡㼒㼒㼕㼚㻌㻔㻼㼞㼕㼚㼏㼑㼠㼛㼚㻌㻵㻭㻿㻕㻻㼚㻌㼠㼔㼑㻌㻟㼐㻌㻵㼟㼕㼚㼓㻌㻿㼜㼑㼏㼠㼞㼡㼙

㻴㼑㼞㼎㼑㼞㼠㻌㻿㼜㼛㼔㼚㻌㻔㼀㼁㻹㻕㻿㼕㼤㻙㼂㼑㼞㼠㼑㼤㻌㻹㼛㼐㼑㼘㻌㼍㼠㻌㻵㼠㼟㻌㻯㼛㼚㼕㼏㼍㼘㻌㻔㻷㻼㼆㻕㻌㻼㼛㼕㼚㼠

㼅㼡㼖㼕㻌㼀㼍㼏㼔㼕㼗㼍㼣㼍㻌㻔㻵㻼㻹㼁㻕㼀㼕㼙㼑㻙㻾㼑㼢㼑㼞㼟㼍㼘㻌㻭㼚㼛㼙㼍㼘㼕㼑㼟㻌㼛㼒㻌㻞㻗㻝㼐㻌㻽㼡㼍㼚㼠㼡㼙㻌㻲㼕㼑㼘㼐㻌㼀㼔㼑㼛㼞㼕㼑㼟㼀㼍㼐㼍㼟㼔㼕㻌㼀㼍㼗㼍㼥㼍㼚㼍㼓㼕㻌㻔㼅㻵㼀㻼㻕㻲㼞㼛㼙㻌㻼㼍㼠㼔㻙㻵㼚㼠㼑㼓㼞㼍㼘㻌㼠㼛㻌㼀㼑㼚㼟㼛㼞㻌㻺㼑㼠㼣㼛㼞㼗㼟㻌㼒㼛㼞㻌㻭㼐㻿㻛㻯㻲㼀

㻷㼍㼦㼡㼙㼍㼟㼍㻌㼀㼍㼗㼑㼡㼏㼔㼕㻌㻔㼀㻵㼀㻱㻯㻴㻕㻵㼚㼠㼑㼓㼞㼍㼎㼕㼘㼕㼠㼥㻌㼍㼚㼐㻌㼁㼚㼕㼢㼑㼞㼟㼍㼘㼕㼠㼥㻌㻮㼑㼔㼕㼚㼐㻌㼍㻌㻾㼍㼚㼐㼛㼙㻌㻳㼞㼛㼣㼠㼔㻌㻱㼤㼜㼑㼞㼕㼙㼑㼚㼠

㻴㼕㼗㼍㼙㼕

㼀㼍㼏㼔㼕㼗㼍㼣㼍

㻸㼡㼚㼏㼔㻮㼞㼑㼍㼗

㼀㼑㼍㻾㼑㼓㼕㼟㼠㼞㼍㼠㼕㼛㼚

㻷㼘㼑㼎㼍㼚㼛㼢

㻷㼛㼙㼍㼞㼓㼛㼐㼟㼗㼕

International Symposium

Frontiers in Mathematical Physics

Timetabale

January 6 (Fri.) - 9 (Mon.), 2017

㻶㼍㼚㼡㼍㼞㼥㻌㻢㻌㻔㻲㼞㼕㻚㻕

International Symposium

Frontiers in Mathematical Physics

January 6 (Fri.) - 9 (Mon.), 2017

M302, McKim Hall (bldg. 15), Rikkyo University

Titles and Abstracts

ɹ

January 6 (Fri)

Igor Klebanov (Princeton)

Title: Random Tensors and Melonic Large N Limits Abstract: TBA

Zohar Komargodski (Weizmann)

Title: An Anomaly in Yang-Mills Theories and Its Implications Abstract: TBA

Kazuhiro Hikami (Kyushu)

Title: q-Series and Quantum Invariants

Abstract: Recent studies show that quantum invariants of knots and 3-manifolds have rich structures related to geometry, combinatorics, modular forms and so on. We will talk about ʠquantum modular formʡ as a modular property of quantum invariants.

Yuji Tachikawa (IPMU)

Title: Time-Reversal Anomalies of 2+1d Quantum Field Theories

Abstract: It is an old fact that the anomalies of continuous symmetries of d

dimen-sional theories are captured by Chern-Simons terms in (d+1) dimensions. It is a natural

question, then, how this fact can be generalized to the case of the anomalies of discrete

symmetries such as the time reversal. In the last few years, a series of developments originated in condensed-matter physics led to an answer to this question in terms of the cobordism theory: an old subject in mathematics hitherto rarely used in physics. After reviewing this interesting developments, I discuss the speciﬁc case of the time-reversal anomalies of 2+1d quantum ﬁeld theories, in particular topological quantum ﬁeld theo-ries, based on my collaboration with K.Yonekura.

January 7 (Sat)

Philippe DiFrancesco (Sacley)

Title: Macdonald Operators, from Cluster Algebra to Elliptic Hall Algebra

Abstract: We introduce generalized Macdonald diﬀerence operators that interpolate be-tween quantum cluster algebras associated to A-type Q-systems and the so-called Elliptic Hall, or Ding-Iohara-Miki algebra which play a central role in the so-called AGT conjec-ture.

Shota Komatsu (Perimeter)

Title: Hexagonalization of Correlation Functions in N=4 Super Yang-Mills

Abstract: I will discuss a nonperturbative framework to study general correlation func-tions of single-trace operators in N=4 supersymmetric Yang-Mills theory at large Nc.

The basic strategy is to decompose them into fundamental building blocks called the

”hexagons”, introduced earlier to study structure constants using integrability. The de-composition is akin to a triangulation of a Riemann surface, and we thus call it hexago-nalization. We propose a set of rules to glue the hexagons together based on symmetry, which naturally incorporate the dependence on the conformal and the R-symmetry cross ratios. Our method is conceptually diﬀerent from the conventional operator product ex-pansion and automatically takes into account multi-trace operators exchanged in OPE channels. I will explain how the method works in practice using simple examples at one loop.

Tadashi Takayanagi (Yukawa)

Title: From Path-Integral to Tensor Networks for AdS/CFT

Abstract: Starting from wave functionals in Conformal Field Theories, we would like to

2 explain how we can obtain anti de-Sitter space, which may suggest a new interpretation of AdS/CFT. We would also like to discuss a connection to the tensor network description of AdS/CFT.

Shiraz Minwalla (Tata)

Title: Black Hole Dynamics at Large D Abstract: TBA

Masato Okado (Osaka City)

Title: Integrable Stochastic Models and Quantum Groups

Abstract: Using standard techniques of quantum integrable systems, such as quantum group symmetry, commuting transfer matrices, Zamolodchikov-Faddeev algebra, we ex-plore stochastic models that are integrable. The model we fished up is a zero range process on a periodic chain whose local transition rate is related to the quantum R matrix for the symmetric tensor representations of the quantum group U

( sl

). We then construct a q-boson representation of the Zamolodchikov-Faddeev algebra, and express the stationary probabilities in terms of traces of products of q-bosons over a multiple tensor product of Fock spaces. This talk is based on joint works with Kuniba, Mangazeev and Maruyama.

January 8 (Sun)

Vladimir Bazhanov (ANU)

Title: Bukhvostov-Lipatov Model and Duality of Quantum and Classical Systems

Abstract: Bukhvostov and Lipatov have shown that weakly interacting instantons and

anti-instantons in the O(3) non-linear sigma model in two dimensions are described by

an exactly soluble model containing two coupled Dirac fermions. We propose an exact

formula for the vacuum energy of the model for twisted boundary conditions, expressing

it through a special solution of the classical sinh-Gordon equation. The formula perfectly

matches predictions of the standard renormalized perturbation theory at weak couplings

as well as the conformal perturbation theory at short distances. A complete proof the

proposed expression for the vacuum energy is based on a combination of the Bethe ansatz

techniques and the classical inverse scattering transform method. The description of the

vacuum state of the quantum model in terms of the classical sinh-Gordon equation can be

viewed as an instance of a remarkable, albeit unusual correspondence between integrable quantum ﬁeld theories and integrable classical ﬁeld theories in two dimensions, which cannot be expected from the standard quantum?classical correspondence principle.

Tomoki Nakanishi (Nagoya)

Title: Dilogarithm Identities in Cluster Algebras from Hamiltonian/Lagrangian Point of View

Abstract: It is known that the Euler dilogarithm is built into a cluster algebra as a Hamil-tonian of the inﬁnitesimal mutation. We show how the dilogarithm identity associated with a period of mutations in a cluster algebra arises from Hamiltonian/Lagrangian point of view. (Based on the joint project with M. Gekhtman and D. Rupel.)

Reference: Michael Gekhtman, Tomoki Nakanishi, Dylan Rupel, Hamiltonian and La-grangian formalisms of mutations in cluster algebras and application to dilogarithm iden-tities,

Kazumi Okuyama (Shinshu)

Title: Quantization of Local P

Abstract: It is conjectured that the structure of non-perturbative eﬀects found in ABJM theory on S

can be generalized to topological strings on local Calabi-Yau. In particular, Fredholm determinant of the inverse operator of quantized mirror curve can be thought of as a non-perturbative deﬁnition of topological string partition function. As an example, we study the case of local P

in detail.

Rajesh Gopakumar (ICTS)

Title: Conformal Bootstrap in Mellin Space

Abstract: We describe a new approach towards analytically solving for the dynamical content of Conformal Field Theories (CFTs) using the bootstrap philosophy. This com-bines the original bootstrap idea of Polyakov with the modern technology of the Mellin representation of CFT amplitudes. We illustrate the power of this method in the epsilon expansion of the Wilson-Fisher ﬁxed point by reproducing anomalous dimensions and obtaining OPE coeﬃcients to higher orders in epsilon than currently available using other analytic techniques (including Feynman diagram calculations). Our results enable us to get a somewhat better agreement of certain observables in the 3d Ising model, with the

4 precise numerical values that have been recently obtained.

Ivan Corwin (Columbia)

Title: Stochastic Quantum Integrable Systems

Abstract: We will describe how ideas for quantum integrable systems lead to simple prob-abilistic systems which illuminate our understanding of certain universality classes.

January 9 (Mon)

David Simmons-Duﬃn (IAS)

Title: On the 3d Ising Spectrum

Abstract: I will discuss some new results on the spectrum of the conformal ﬁeld theory that describes the 3d Ising model at criticality.

Kazuo Hosomichi (Taiwan)

Title: Vortex Defects in 2D SUSY Gauge Theories

Abstract: We extend the localization techniques developed for sphere partition functions of 2D N=(2,2) SUSY theories to study the 1/2 BPS vortex defects. We present an exact formula for their two-point functions. Restricting to abelian GLSMs, we also show that the twisted chiral ring relations and Picard-Fuchs diﬀerential equations arise from their properties in an interesting way.

Jean-Sebastien Caux (Amsterdam)

Title: Dynamics and Relaxation in Integrable Quantum Systems

Abstract: Recent years have witnessed rapid progress in the use of integrability in

charac-terizing the out-of-equilibrium dynamics of low-dimensional systems such as interacting

atomic gases and quantum spin chains. This talk will provide an introduction to these

developments, with a particular focus on the Quench Action method. Exact solutions to

the interaction turn-on quench in the Lieb-Liniger model and to the Neel-to-XXZ quench

ドキュメント内数理物理学研究センター (ページ 47-103)