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• W988908224 abstract "We show that if $M$ is a Frobenius manifold of dimension $n$ such that $T_{x} M$ is semisimple for every $x in M$, then there exists a canonical 2-vector bundle $mathcal{B}$ over $M$ of rank $n$. This 2-vector bundle encodes the information about the maximal category of $D$-branes associated to the open closed topological field theories defined by the Frobenius algebras $T_{x} M$. In particular this construction answers a conjecture of Graeme Segal in~cite{segal07:_what_is_ellip_objec}. We also explain the relation of the labels of the $D$-branes to Azumaya algebras and twisted vector bundles on the spectral cover $S$ of $M$." @default.
• W988908224 created "2016-06-24" @default.
• W988908224 creator A5017623180 @default.
• W988908224 creator A5062699917 @default.
• W988908224 date "2015-07-30" @default.
• W988908224 modified "2023-09-27" @default.
• W988908224 title "2-vector bundles, D-branes and Frobenius Manifolds" @default.
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• W988908224 hasPublicationYear "2015" @default.
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