Branes, quivers and wave-functions
arXiv:2011.06783 · doi:10.21468/SciPostPhys.10.2.051
Abstract
We consider a large class of branes in toric strip geometries, both non-periodic and periodic ones. For a fixed background geometry we show that partition functions for such branes can be reinterpreted, on one hand, as quiver generating series, and on the other hand as wave-functions in various polarizations. We determine operations on quivers, as well as transformations, which correspond to changing positions of these branes. Our results prove integrality of BPS multiplicities associated to this class of branes, reveal how they transform under changes of polarization, and imply all other properties of brane amplitudes that follow from the relation to quivers.
42 pages, 15 figures
References in corpus (20)
- The Topological Vertex
- Topological Strings and Integrable Hierarchies
- Knot Invariants and Topological Strings
- Matrix Models, Geometric Engineering and Elliptic Genera
- A-polynomial, B-model, and Quantization
- Cohomological Hall algebra of a symmetric quiver
- Surface Operators and Separation of Variables
- Knots-quivers correspondence
- BPS states, knots and quivers
- The Wave Function Behavior of the Open Topological String Partition Function on the Conifold
- Topological strings, strips and quivers
- Donaldson-Thomas invariants, torus knots, and lattice paths
- Multi-cover skeins, quivers, and 3d dualities
- Quivers for 3-manifolds: the correspondence, BPS states, and 3d =2 theories
- Semi-Stable Chow-Hall Algebras of Quivers and Quantized Donaldson-Thomas Invariants
- Rational links and DT invariants of quivers
- Tangle addition and the knots-quivers correspondence
- Branes, quivers and wave-functions
- Nahm sums, quiver A-polynomials and topological recursion
- Quantum mirror curve of periodic chain geometry