Results in susy field theory from 3-brane probe in F-theory

TL;DR

This paper investigates the spectrum of massless Nf ≤ 4 SU(2) Seiberg-Witten theory using a 3-brane probe in F-theory, confirming previous conjectures and establishing selection rules for allowed states.

Contribution

It introduces a new approach employing F-theory and 3-brane probes to determine spectrum selection rules in supersymmetric field theories.

Findings

Spectrum consistent with previous conjectures

Derived selection rules for allowed states

Confirmed spectrum for Nf ≤ 4 SU(2) theories

Abstract

Employing Sen's picture of BPS states on a 3-brane probe world volume field theory in a F-theory background. we determine some selection rules for the allowed spectrum in massless $N_{f}\leq 4$ SU(2) Seiberg-Witten theory. The spectrum for any $N_f \leq 4$ is consistent with previous conjectures and analysis.