Topology of Quantum Modified Moduli Spaces

Details Topology of Quantum Modified Moduli Spaces Topology of Quantum Modified Moduli Spaces

2003-06-26

arxiv.org/abs/hep-th/0306264v2

JHEP 0308:023,2003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages,jhep class, minor misprints corrected

Scientific paper

10.1088/1126-6708/2003/08/023

We prove that all SYM theories that have a quantum modified moduli space $\m$ defined by a single constraint equation have trivial homotopy groups $\pi_j(\m)$ 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.

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