A∞ -Algebra from Supermanifolds

Roberto Catenacci; Pietro Antonio Grassi; Simone Noja

doi:10.1007/s00023-019-00854-8

A_∞ -Algebra from Supermanifolds

Roberto Catenacci, Pietro Antonio Grassi, Simone Noja

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

Inspired by the analogy between different types of differential forms on supermanifolds and string fields in superstring theory, we construct new multilinear non-associative products of forms which yield, for a single fermionic dimension, an A_∞-algebra as in string field theory. For multiple fermionic directions, we give the rules for constructing non-associative products, which are the basis for a full A_∞-algebra structure to be yet discussed.

Lingua originale	Inglese
pagine (da-a)	4163-4195
Numero di pagine	33
Rivista	Annales Henri Poincare
Volume	20
Numero di pubblicazione	12
DOI	https://doi.org/10.1007/s00023-019-00854-8
Stato di pubblicazione	Pubblicato - 1 dic 2019

Accesso al documento

10.1007/s00023-019-00854-8

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Link to publication in Scopus

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