Volume 34-3  博士論文

Finite N Corrections to the Superconformal Index in AdS/CFT Correspondence

荒井 玲於奈 (東京工業大学　註2021年4月より株式会社みずほフィナンシャルグループ所属)

素粒子論研究・電子版 Vol. 34 (2021) No. 3

2021年4月9日受理

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概要

In this thesis, I study the finite N corrections to the superconformal index in AdS/CFT correspondence. AdS/CFT is a conjecture of a duality between 4d conformal field theories and type IIB superstring theory on AdS spacetime . The superconformal index has information of the operator spectrum of the theory and should be the same on both sides of the correspondence. In the large N limit, the agreement was already confirmed but in the finite N region, no methods to calculate the index on the AdS side were known. In this thesis, I propose a calculation method of the index on the AdS side in the finite N region. And I apply this method to S-fold theories to find the index of the S-fold theories through AdS/CFT.

キーワード

Finite N correction、superconformal index、AdS/CFT