Talk (non-conference)

PUBDB-2022-08131

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The Conformal Bootstrap: exploring line defects with $O(2)$ symmetry.

Vliet, P. J. v. (Corresponding author)DESY*

2022

Abstract: The conformal bootstrap is a powerful and nonperturbative method to study Conformal Field Theories (CFTs). CFTs appear as critical points of an array of physical theories.They describe all ranges of physics: from second-order phase transitions in condensed matter to D-branes in String Theory and as duals of quantum gravity in AdS.Advancements in especially the numerical bootstrap have led to extremely precise results for the computation of critical exponents in various CFTs, and the conformal bootstrap has gained a lot of attention in recent years. CFTs can be generalized by adding extended objects. These extended objects, called defects, break the conformal symmetry group into a smaller conformal subgroup, and the resulting defect theory can be studied with the (defect) bootstrap. Defects are an important part of physics. They describe boundaries of condensed matter systems, Wilson lines in string theories, and much more.In this talk I will give a general introduction to the conformal bootstrap and show how it can be used to study defect theories, in particular CFTs with a line defect.I will discuss recent work with Aleix Gimenez-Grau, Edoardo Lauria and Pedro Liendo where we explore 1d line defects with an extra O(2) symmetry.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. Emmy Noether - Emmy Noether Nachwuchsgruppe (EmmyNoether) (EmmyNoether)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2022

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