Some comments on the local curve (B-side)

2007/01/03 by Antonio J. Ricco, Ricco, A.
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.hep-th/0701019

openalex publication_date 2007/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider non-compact Calabi-Yau threefolds that are fibrations over compact Riemann surfaces, the local curves, and study the dynamics of B-branes wrapped around the curves. We discuss different but closely related possible approaches to this problem. In particular, we study the open topological string field theory of the B-brane and the dimensional reduction of the holomorphic Chern-Simons functional to the curve. The classical (g_s = 0) limit of these dynamics for one single brane is given by the deformation theory of the curve inside the Calabi-Yau threefold; we consider this last approach for the Laufer curve case.

Citations

• Quantization of Gauge Systems
• A Perturbative Window into Non-Perturbative Physics
• A planar diagram theory for strong interactions
• Quantum Calabi-Yau and Classical Crystals
• Generalized Complex Geometry

Related

• Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory
• D-branes, obstructed curves, and minimal model superpotentials
• Skeins on Branes
• Evidence for Tadpole Cancellation in the Topological String
• All Genus Topological String Amplitudes and 5-brane Webs as Feynman Diagrams