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.
A∞ -Algebra from Supermanifolds
Noja S.
2019-01-01
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.File in questo prodotto:
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A_infty algebra from supermanifolds.pdf
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Ainfty_Correzioni_1_5_2019.pdf
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Descrizione: A infty algebra from supermanifolds
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