Inspired by the analogy between different types of differentialforms on supermanifolds and string fields in superstring theory, we con-struct new multilinear non-associative products of forms which yield, fora single fermionic dimension, anA∞-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 fullA∞-algebra structureto be yet discussed.
A∞ -Algebra from Supermanifolds
Catenacci R.;Grassi P.;Noja S.
2019-01-01
Abstract
Inspired by the analogy between different types of differentialforms on supermanifolds and string fields in superstring theory, we con-struct new multilinear non-associative products of forms which yield, fora single fermionic dimension, anA∞-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 fullA∞-algebra structureto be yet discussed.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2019_Article_.pdf
file disponibile solo agli amministratori
Tipologia:
Versione Editoriale (PDF)
Licenza:
DRM non definito
Dimensione
561.73 kB
Formato
Adobe PDF
|
561.73 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
