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Hidden Yangian symmetry in sigma model on squashed sphere. 川口 維男(京大理). I.K. Kentaroh Yoshida, arXiv:1008.0776 I.K. Domenico Orlando, Kentaroh Yoshida, in preparation に基づく. @ 理研 ’10/12/17. 可積分性が重要. AdS /CFT 対応の検証. 可解スピン鎖模型. AdS 5 ×S 5 上の type ⅡB super string. 4 次元 N=4

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hidden yangian symmetry in sigma model on squashed sphere

Hidden Yangian symmetry in sigma model on squashed sphere

川口 維男(京大理)

I.K. Kentaroh Yoshida, arXiv:1008.0776

I.K. Domenico Orlando, Kentaroh Yoshida, in preparation に基づく

@理研 ’10/12/17

slide2

可積分性が重要

AdS/CFT対応の検証

可解スピン鎖模型

AdS5×S5上の

type ⅡB super string

4次元N=4

super Yang-Mills

等価

symmetric coset

上のシグマ模型

古典可積分系

無限次元対称性

string backgroundになるものの分類

Zarembo ‘10

slide3

non-symmetric cosetへの拡張

string backgroundになるsymmetric coset

全てAdS×(internal manifold)の形

一方で

AdS/CFTの拡張

non symmetric coset上のシグマ模型

AdS/NRCFTなど

無限次元対称性の存在?

squashed S3上のシグマ模型が無限次元対称性を持つことを示した

slide4

本講演では

symmetric cosetの際の無限次元対称性の構成法

squashed S3(warped AdS3)上のシグマ模型

における無限次元対称性の構成

string backgroundへの格上げへ向けて