Physics Seminar
Date: Friday, 15 November 2024
Time: 1:45 PM
Venue: Lecture Hall 1 Two approaches to the holomorphic modular bootstrap
Jagannath Santara
IIT Madras.
15-11-24

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Abstract

Conformal field theory (CFT) in two dimensions plays a unique role in physics and mathematics because of its infinitude of symmetries. In this talk, we will discuss an important sub-class of two-dimensional conformal field theory called rational conformal field theory (RCFT). The holomorphic modular bootstrap deals with classifying RCFTs by analyzing modular invariant linear differential equations (MLDEs) satisfied by their characters. In this classification scheme, an RCFT is classified by two non-negative integers: the number of characters of the RCFT and the number of zeros of the Wronskian. We study two approaches to this classification scheme: one by solving MLDE and the other by generating solutions of MLDE where one solution is given.