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Mikefest : A conference in honor of Michael Douglas’ 60th birthday

Collection Mikefest : A conference in honor of Michael Douglas’ 60th birthday

Organizer(s) Costas Bachas, Semyon Klevtsov, Nikita Nekrasov, Emmanuel Ullmo
Date(s) 09/05/2022 - 13/05/2022
linked URL https://indico.math.cnrs.fr/event/7727/
00:00:00 / 00:00:00
14 27

Truncated Affine Rozansky-Witten Models as Extended TQFTs

By Ilka Brunner

Mathematicians formulate fully extended d-dimensional TQFTs in terms of functors between a higher category of bordism and suitable target categories. Furthermore, the cobordism hypothesis identifies the basic building blocks of such TQFTs. In this talk, I will discuss Rozansky Witten models with affine targets, also known as 3-dimensional topologically twisted N=4 theories of free hypermultiplets. I will show how in this simple example the cobordism hypothesis can be systematically applied to explicitly construct the (infinite-dimensional) state spaces of this theory. Furthermore, a commutative Frobenius algebra will be identified that describes the extended TQFT restricted to circles and bordism between them (Based on work with Nils Carqueville and Daniel Roggenkamp).

Information about the video

  • Date of recording 11/05/2022
  • Date of publication 13/05/2022
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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