The BV quantisation in NCG: the case of finite spectral triple | Vidéo | Carmin.tv

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The BV quantisation in NCG: the case of finite spectral triple

De Roberta Anna Iseppi

Apparaît dans la collection : Applications of NonCommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time / Applications de la Géométrie Non Commutative aux Théories de Jauge, à la Théorie des Champs et aux Espaces-Temps Quantiques

The quantisation of the spectral action for spectral triples remains a largely open problem. Even within a perturbative framework, serious challenges arise when in the presence of non-abelian gauge symmetries. This is precisely where the Batalin–Vilkovisky (BV) formalism comes into play: a powerful tool specifically designed to handle the perturbative quantisation of gauge theories. The central question I will address is whether it is possible to develop a BV formalism entirely within the framework of noncommutative geometry (NCG). After a brief introduction to the key ideas behind BV quantisation, I will report on recent progress toward this goal, showing that the BV formalism can be fully formulated within the language of NCG in the case of finite spectral triples.

Informations sur la vidéo

Date de captation 07/04/2025
Date de publication 18/04/2025
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20341103
Citer cette vidéo Iseppi, Roberta Anna (07/04/2025). The BV quantisation in NCG: the case of finite spectral triple. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20341103
URL https://dx.doi.org/10.24350/CIRM.V.20341103

Domaine(s)

Physique mathématique

Bibliographie

ISEPPI, Roberta Anna. The BV construction for finite spectral triples. arXiv preprint arXiv:2410.11823, 2024. - https://doi.org/10.48550/arXiv.2410.11823

Codes MSC

Document(s)

https://www.cirm-math.fr/RepOrga/3196/Slides/Iseppi.pdf

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