Supersymmetric gauge theories, intersecting branes and free fermions
Abstract
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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- February 2008
- DOI:
- arXiv:
- arXiv:0709.4446
- Bibcode:
- 2008JHEP...02..106D
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 67 pages, 6 figures