2-7 June 2019
Simon Fraser University
America/Vancouver timezone
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Computing Conformal Blocks through Geodesic Witten Diagrams

Jun 5, 2019, 2:15 PM
SCB 9242 (Simon Fraser University)

SCB 9242

Simon Fraser University

Oral Competition (Undergraduate Student) / Compétition orale (Étudiant(e) du 1er cycle) Theoretical Physics / Physique théorique (DTP-DPT) W2-4 Fields and Strings II (DTP) | Champs et cordes II (DPT)


Mr Jonathan Classen-Howes (McGill University)


Conformal blocks are used to study the correlation functions of conformal field theories; quantum field theories which are invariant under conformal transformations. A consideration affecting the use of conformal blocks is that they can be difficult to compute efficiently. The anti-de Sitter/conformal field theory correspondence, a conjectured duality with wide applications in theoretical physics, provides a way to overcome this difficulty. It does so by addressing computationally-complicated conformal blocks through more manageable geodesic Witten diagrams, which are their geometric configuration within the dual anti-de Sitter space. The resulting integral representations of the conformal blocks provide a more efficient way to compute them numerically than the traditional series expansion techniques. This presentation will provide a background to the calculation of conformal blocks through geodesic Witten diagrams within the context of the AdS/CFT correspondence, and discuss current research on their ensuing integral representations.

Primary author

Mr Jonathan Classen-Howes (McGill University)

Presentation materials