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(Seminar)Modular Constraints on Conformal Field Theories with Currents
2018-01-31     Text Size:  A

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

 Chinese Academy of Sciences

Seminar

Title

题目

Modular Constraints on Conformal Field Theories with Currents

Speaker

报告人

Prof. Sungjay Lee

Affiliation

所在单位

Korea Institute for Advanced Study

Date

日期

3:30pm, Jan 31, 2018, Wednesday

Venue

地点

Conference Hall 322, ITP/理论物理所322报告厅

 

Abstract

摘要

We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories. We constrain the spectrum of CFTs in the presence of holomorphic and anti-holomorphic currents using the semi-definite programming. In particular, we find the bounds on the twist gap for the non-current primaries depend dramatically on the presence of holomorphic currents, showing numerous kinks and peaks. Various rational CFTs are realized at the numerical boundary of the twist gap, saturating the upper limits on the degeneracies. Such theories include Wess-Zumino-Witten models for the Deligne's exceptional series, the Monster CFT and the Baby Monster CFT. We also study modular constraints imposed by W-algebras of various type and observe that the bounds on the gap depend on the choice of W-algebra in the small central charge region.

Contact person

所内联系人

Gang Yang

 

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