2004/10/15 by Frank D. Ferrari, Frank Ferrari · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Brane #Brane cosmology #Composite material #Cosmology and Gravitation Theories #Dimension (graph theory) #Duality (order theory) #Gauge theory #Materials science #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Spectrum (functional analysis) #String (physics) #String field theory #String theory #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.crhy.2004.12.002
published in arXiv (Cornell University) 6(2), 219-230 (Cornell University) · 11 pages, 2 figures, .cls files included; to appear in the proceedings of the Strings 2004 conference in Paris
arxiv created 2004/10/15 · openalex publication_date 2004/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
I explain two applications of the relationship between four dimensional N=1 supersymmetric gauge theories, zero dimensional gauged matrix models, and geometric transitions in string theory. The first is related to the spectrum of BPS domain walls or BPS branes. It is shown that one can smoothly interpolate between a D-brane state, whose weak coupling tension scales as Nc or 1/gs, and a closed string solitonic state, whose weak coupling tension scales as Nc2 or 1/gs2. This is part of a larger theory of N=1 quantum parameter spaces. The second is a new purely geometric approach to sum exactly over planar diagrams in zero dimension. It is an example of open/closed string duality.