[Formula: see text] super topological recursion

We introduce the notion of [Formula: see text] abstract super loop equations and provide two equivalent ways of solving them. The first approach is a recursive formalism that can be thought of as a supersymmetric generalization of the Eynard–Orantin topological recursion, based on the geometry of a...

Descripción completa

Detalles Bibliográficos
Autores principales: Bouchard, Vincent, Osuga, Kento
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8626414/
https://www.ncbi.nlm.nih.gov/pubmed/34898819
http://dx.doi.org/10.1007/s11005-021-01479-x
_version_ 1784606651569930240
author Bouchard, Vincent
Osuga, Kento
author_facet Bouchard, Vincent
Osuga, Kento
author_sort Bouchard, Vincent
collection PubMed
description We introduce the notion of [Formula: see text] abstract super loop equations and provide two equivalent ways of solving them. The first approach is a recursive formalism that can be thought of as a supersymmetric generalization of the Eynard–Orantin topological recursion, based on the geometry of a local super spectral curve. The second approach is based on the framework of super Airy structures. The resulting recursive formalism can be applied to compute correlation functions for a variety of examples related to 2d supergravity.
format Online
Article
Text
id pubmed-8626414
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Springer Netherlands
record_format MEDLINE/PubMed
spelling pubmed-86264142021-12-10 [Formula: see text] super topological recursion Bouchard, Vincent Osuga, Kento Lett Math Phys Article We introduce the notion of [Formula: see text] abstract super loop equations and provide two equivalent ways of solving them. The first approach is a recursive formalism that can be thought of as a supersymmetric generalization of the Eynard–Orantin topological recursion, based on the geometry of a local super spectral curve. The second approach is based on the framework of super Airy structures. The resulting recursive formalism can be applied to compute correlation functions for a variety of examples related to 2d supergravity. Springer Netherlands 2021-11-26 2021 /pmc/articles/PMC8626414/ /pubmed/34898819 http://dx.doi.org/10.1007/s11005-021-01479-x Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Bouchard, Vincent
Osuga, Kento
[Formula: see text] super topological recursion
title [Formula: see text] super topological recursion
title_full [Formula: see text] super topological recursion
title_fullStr [Formula: see text] super topological recursion
title_full_unstemmed [Formula: see text] super topological recursion
title_short [Formula: see text] super topological recursion
title_sort [formula: see text] super topological recursion
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8626414/
https://www.ncbi.nlm.nih.gov/pubmed/34898819
http://dx.doi.org/10.1007/s11005-021-01479-x
work_keys_str_mv AT bouchardvincent formulaseetextsupertopologicalrecursion
AT osugakento formulaseetextsupertopologicalrecursion

Ejemplares similares