منابع مشابه
A-infinity structure and superpotentials
A∞ algebras and categories are known to be the algebraic structures behind open string field theories. In this note we comment on the relevance of the homology construction of A∞ categories to superpotentials. Branes in Calabi-Yau manifolds are an important arena for uncovering nonperturbative features of string theory, with interesting mathematical phenomena as by-products or important ingredi...
متن کاملA-infinity Structure on Ext-algebras
Let A be a connected graded algebra and let E denote its Extalgebra L i Ext i A(kA, kA). There is a natural A∞-structure on E, and we prove that this structure is mainly determined by the relations of A. In particular, the coefficients of the A∞-products mn restricted to the tensor powers of ExtA(kA, kA) give the coefficients of the relations of A. We also relate the mn’s to Massey products.
متن کاملA-infinity structure on simplicial complexes
A discrete (finite-difference) analogue of differential forms is considered, defined on simplicial complexes, including triangulations of continuous manifolds. Various operations are explicitly defined on these forms, including exterior derivative and exterior product. The latter one is non-associative. Instead, as anticipated, it is a part of non-trivial A ∞ structure, involving a chain of pol...
متن کاملSolitons, Superpotentials and Calibrations
In this paper we study several issues related to the generation of superpotential induced by background Ramond-Ramond fluxes in compactification of Type IIA string theory on Calabi-Yau four-folds. Identifying BPS solitons with D-branes wrapped over calibrated submanifolds in a Calabi-Yau space, we propose a general formula for the superpotential and justify it comparing the supersymmetry condit...
متن کاملSuperpotentials and Membrane Instantons
We investigate nonperturbative effects in M -theory compactifications arising from wrapped membranes. In particular, we show that in d = 4,N = 1 compactifications along manifolds of G2 holonomy, membranes wrapped on rigid supersymmetric 3-cycles induce nonzero corrections to the superpotential. Thus, membrane instantons destabilize manyM -theory compactifications. Our computation shows that the...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2001
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2001/09/030