Holomorphic field theories and Calabi-Yau algebras

• Verfasst von: Eager, Richard [VerfasserIn]
• Verfasst von: Saberi, Ingmar [VerfasserIn]
• Titel: Holomorphic field theories and Calabi-Yau algebras
• Verf.angabe: Richard Eager and Ingmar Saberi
• E-Jahr: 2018
• Jahr: 5 May 2018
• Fussnoten: Gesehen am 27.02.2019
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2018
• Band/Heft Quelle: (2018) Artikel-Nummer 1805.02084, 55 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: 81T20, 14J32
• Sach-SW: High Energy Physics - Theory
• Sach-SW: Mathematical Physics
• K10plus-PPN: 1588199053

Abstract

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.