D-branes as Defects in the Calabi-Yau Crystal

Abstract

We define the notion of A-model Lagrangian D-branes as introducing defects in the Calabi-Yau crystal. The crystal melting in the presence of these defects reproduces all genus string amplitudes as well as leads to additional non-perturbative terms.

arXiv comment27 pages, 15 figures, latex

References in corpus (7)

• Topological Strings and Integrable Hierarchies
• Quantum Foam and Topological Strings
• Disk Instantons, Mirror Symmetry and the Duality Web
• S-duality and Topological Strings
• Quantum Calabi-Yau and Classical Crystals
• N=2 strings and the twistorial Calabi-Yau
• Gauge theory, topological strings, and S-duality

Cited by in corpus (14)

• Chern-Simons Theory and Topological Strings
• Crystal Melting and Toric Calabi-Yau Manifolds
• Derivation of Calabi-Yau Crystals from Chern-Simons Gauge Theory
• Brownian Motion, Chern-Simons Theory, and 2d Yang-Mills
• D-branes as a Bubbling Calabi-Yau
• Deformed boson-fermion correspondence, Q-bosons, and topological strings on the conifold
• Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
• Crystal Model for the Closed Topological Vertex Geometry
• Non-compact Topological Branes on Conifold
• D-Brane Amplitudes in Topological String on Conifold
• Generalized MacMahon G(q) as q-deformed CFT Correlation Function
• Toric Geometry and String Theory
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• q-Deformed Oscillators and D-branes on Conifold