English

Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I

High Energy Physics - Theory 2017-03-17 v2 Representation Theory Exactly Solvable and Integrable Systems

Abstract

It is possible to understand whether a given BPS spectrum is generated by a relevant deformation of a 4D N=2 SCFT or of an asymptotically free theory from the periodicity properties of the corresponding quantum monodromy. With the aim of giving a better understanding of the above conjecture, in this paper we revisit the description of framed BPS states of four-dimensional relativistic quantum field theories with eight conserved supercharges in terms of supersymmetric quantum mechanics. We unveil aspects of the deep interrelationship in between the Seiberg-dualities of the latter, the discrete symmetries of the theory in the bulk, and quantum discrete integrable systems.

Keywords

Cite

@article{arxiv.1703.04786,
  title  = {Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I},
  author = {Michele Cirafici and Michele Del Zotto},
  journal= {arXiv preprint arXiv:1703.04786},
  year   = {2017}
}

Comments

74 pages, 9 figures. v2: one imprecision removed