On the BPS Spectrum of the Rank-1 Minahan-Nemeschansky Theories
arXiv:1901.09929 · doi:10.1007/JHEP02(2020)100
Abstract
The F-theory realization of the rank-1 Minahan Nemeschansky (MN) , and theories leads to a description of the BPS states on the Coulomb branch in terms of Type IIB -string networks. Subject to a simple ansatz for the types of networks which can occur, we study the representations of the flavor symmetry group which occur in the BPS spectrum. The results we find for the and theories are in perfect agreement with previous calculations by other methods (in particular, we find that arbitrarily large representations occur), but our scheme is easier to implement and more computationally efficient. The string network picture also gives a possible explanation of the experimental observation that in rank-1 MN theories, BPS states whose charge is times a primitive charge occur with BPS index divisible by .
arXiv comment25 pages, 2 figures, 7 tables; v2: references added, more conservative version of divisibility hypothesis on BPS indices, small other corrections
References in corpus (34)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
- F-theory and Orientifolds
- Four-dimensional wall-crossing via three-dimensional field theory
- On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted version)
- Self-Dual Strings and N=2 Supersymmetric Field Theory
- An N=2 Superconformal Fixed Point with E_6 Global Symmetry
- Superconformal Fixed Points with E_n Global Symmetry
- Split States, Entropy Enigmas, Holes and Halos
- Quantum Quivers and Hall/Hole Halos
- F-Theory at Constant Coupling
- Lectures on Superstring and M Theory Dualities
- Spectral networks
- The Strong-Coupling Spectrum of the Seiberg-Witten Theory
- Witten Index and Wall Crossing
- Exceptional groups from open strings
- String Junctions for Arbitrary Lie Algebra Representations
- A holographic computation of the central charges of d=4, N=2 SCFTs
- Split attractor flows and the spectrum of BPS D-branes on the Quintic
- Interactions of strings and D-branes from M theory
- BPS States and Minimal Surfaces
- Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
- Constraints on the BPS Spectrum of N = 2, D = 4 Theories with A-D-E Flavor Symmetry
- Wild Wall Crossing and BPS Giants
- Geometric Realizations of BPS States in N=2 Theories
- String Junctions and BPS States in Seiberg-Witten Theory
- A Comment on BPS States in F-theory in 8 Dimensions
- String Junction Transitions in the Moduli Space of N=2 SYM
- Four ways across the wall
- BPS Graphs: From Spectral Networks to BPS Quivers
- Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes
- Results in susy field theory from 3-brane probe in F-theory
- BPS states in the Minahan-Nemeschansky E6 theory
- Flavor symmetries and the topology of special Kähler structures at rank 1