Holomorphic field theories and Calabi-Yau algebras
We consider the holomorphic twist of the worldvolume theory of flat D(2k-1)-branes transversely probing a Calabi-Yau manifold. A chain complex, constructed using the BV formalism, computes the local observables in the holomorphically twisted theory. Generalizing earlier work in the case k=2, we find...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
5 May 2018
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| In: |
Arxiv
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| Online-Zugang: | Verlag, Volltext: http://arxiv.org/abs/1805.02084
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| Verfasserangaben: | Richard Eager and Ingmar Saberi |
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| 520 | |a We consider the holomorphic twist of the worldvolume theory of flat D(2k-1)-branes transversely probing a Calabi-Yau manifold. A chain complex, constructed using the BV formalism, computes the local observables in the holomorphically twisted theory. Generalizing earlier work in the case k=2, we find that this complex can be identified with the Ginzburg dg algebra associated to the Calabi-Yau. However, the identification is subtle; the complex is the space of fields contributing to the holomorphic twist of the free theory, and its differential arises from interactions. For k=1, this holomorphically twisted theory is related to the elliptic genus. We give a general description for D1-branes probing a Calabi-Yau fourfold singularity, and for N=(0,2) quiver gauge theories. | ||
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