16–17 Dec 2021
Centre for Particle Theory, Durham
Europe/London timezone

Holomorphic Modular Bootstrap

16 Dec 2021, 17:30
30m
Room 2 (Zoom)

Room 2

Zoom

20 minutes talk Full-length talks

Speaker

Arpit Das (Durham University)

Description

In this talk, we shall discuss a classification scheme, called holomorphic modular bootstrap, for classifying Rational Conformal Field Theories (RCFTs) using the Modular Linear Differential Equations (MLDEs) their characters (which are the holomorphic factors of their torus partition functions) satisfy. This is a classification scheme based on two parameters (n,l) where n is the number of linearly independent characters of the RCFT (which is also the order of the MLDE) and l is related to the order of the zeros of the Wronskian of the MLDE. We shall see how almost all known RCFTs (say for example the Ising model at criticality) can be classified in this scheme. In particular, we will present some new results on (3,0) RCFTs. Furthermore, we shall also discuss some simple novel results concerning WZW CFTs.

Would you be interested in receiving feedback on your presentation? Yes
Are you happy for your talk to be recorded? Yes
Will you be pre-recording your talk? No
Could you please give the most relevant category for your talk? Non-Peturbative QFT

Primary authors

Arpit Das (Durham University) Dr Chethan N. Gowdigere (National Institute of Science Education and Research) Jagannath Santara (National Institute of Science Education and Research)

Presentation materials