2007/09/27 by Robbert Dijkgraaf, Lotte Hollands, Piotr Sułkowski +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Coupling constant #Fermion #Gauge theory #Holomorphic function #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Riemann surface #String (physics) #String field theory #String theory #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/02/106
published as JHEP 0802:106,2008 · 67 pages, 6 figures
arxiv created 2007/09/27 · openalex publication_date 2008/02/28 · arxiv updated 2011/07/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that various holomorphic quantities in supersymmetric gauge theories can be conveniently computed by configurations of D4-branes and D6-branes. These D-branes intersect along a Riemann surface that is described by a holomorphic curve in a complex surface. The resulting I-brane carries two-dimensional chiral fermions on its world-volume. This system can be mapped directly to the topological string on a large class of non-compact Calabi-Yau manifolds. Inclusion of the string coupling constant corresponds to turning on a constant B-field on the complex surface, which makes this space non-commutative. Including all string loop corrections the free fermion theory is elegantly formulated in terms of holonomic D-modules that replace the classical holomorphic curve in the quantum case.