2011/05/03 by Mina Aganagic, Miranda C. N. Cheng, Robbert Dijkgraaf +2 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Connection (principal bundle) #Equivariant map #Gauge theory #Partition function (quantum field theory) #Quantum Mechanics and Non-Hermitian Physics #String (physics) #Topological Materials and Phenomena #Topological string theory #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1007/jhep11(2012)019
64 pages, 2 figures
arxiv created 2011/05/03 · openalex publication_date 2012/11/01 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider branes in refined topological strings. We argue that their wave-functions satisfy a Schrödinger equation depending on multiple times and prove this in the case where the topological string has a dual matrix model description. Furthermore, in the limit where one of the equivariant rotations approaches zero, the brane partition function satisfies a time-independent Schroedinger equation. We use this observation, as well as the back reaction of the brane on the closed string geometry, to offer an explanation of the connection between integrable systems and N=2 gauge systems in four dimensions observed by Nekrasov and Shatashvili.