Holomorphic field theories and Calabi-Yau algebras
We consider the holomorphic twist of the worldvolume theory of flat D(2k−1)(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=2k=2...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
4 June 2019
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| In: |
International journal of modern physics. A, Particles and fields, gravitation, cosmology
Year: 2019, Jahrgang: 34, Heft: 16, Pages: 1950071 |
| ISSN: | 1793-656X |
| DOI: | 10.1142/S0217751X19500714 |
| Online-Zugang: | Verlag, Volltext: https://doi.org/10.1142/S0217751X19500714 Verlag, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S0217751X19500714 
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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)(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=2k=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=1k=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)=(0,2) quiver gauge theories. In addition, we propose a relation between the equivariant Hirzebruch χyχy genus of large-NN symmetric products and cyclic homology. | ||
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