Topology of Quantum Modified Moduli Spaces

Abstract

We prove that all SYM theories that have a quantum modified moduli space $\m$ defined by a single constraint equation have trivial homotopy groups $π_j(\m)$ for $j=0,1,2,3$ and 4. This implies that none of these theories admit skyrmions or vortexes, a fact that had only been proved for supersymmetric QCD with $N_f=N_c$ and $Sp(2n)$ with $2n+2$ fundamentals, whereas those of them with a nontrivial $H^5 (\m)$ admit Wess-Zumino-Witten terms in their effective actions. Contrary to expectations, examples of quantum modified moduli spaces with a trivial $H^5 (\m)$ are found in the literature.

16 pages,jhep class, minor misprints corrected

References in corpus (4)

• Systematic Study of Theories with Quantum Modified Moduli II
• Wess-Zumino Terms in Supersymmetric Gauge Theories
• Induced charge matching and Wess-Zumino term on quantum modified moduli space
• Higgs Mechanism and Luna Strata in N=1 Gauge Theories