2023 - T2 - WS3 - Dg-manifolds in geometry and physics

Collection 2023 - T2 - WS3 - Dg-manifolds in geometry and physics

Organizer(s) Hélein, Frédéric ; Ginot, Grégory ; Laurent-Gengoux, Camille

Date(s) 03/07/2023 - 07/07/2023

linked URL https://indico.math.cnrs.fr/event/7885/

00:00:00 / 00:00:00

2 21

Examples of bulk-boundary correspondences of field theories as BV pushforwards

I will explain how one can obtain 2d Wess-Zumino-Witten model on a surface as a Batalin-Vilkovisky pushforward (perturbative fiber BV integral, or “quantized” pushforward of dg manifolds) from 3d Chern-Simons theory on the cylinder (surface)x(interval). Here Chern-Simons is treated in BV formalism with functorial cutting-gluing.

A similar construction applied to abelian Chern-Simons on a 7d cylinder yields the 6d Kodaira-Spencer gravity (a.k.a. BCOV theory). The talk is based on a joint work with Alberto S. Cattaneo and Konstantin Wernli, arXiv:2012.13983.

Information about the video

Date of recording 03/07/2023
Date of publication 06/07/2023
Institution IHP
Licence CC BY-NC-ND
Language English
Audience Researchers, Graduate Students
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2023.T2.WS3.002
Cite this video Mnev, Pavel (03/07/2023). Examples of bulk-boundary correspondences of field theories as BV pushforwards. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T2.WS3.002
URL https://dx.doi.org/10.57987/IHP.2023.T2.WS3.002

Domain(s)

Mathematical Physics

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