Explicit Formulas for the Scalar Modes in Seiberg–Witten Theory
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چکیده
In this thesis, general formulas for the scalar modes ai and a i D in the Seiberg– Witten SU(N) setting are derived in the cases with and without massive hypermultiplets. These formulas are applied in two cases: (i) the asymptotic behavior of the scalar modes in the asymptotically free region of moduli space is derived in the SU(2) case, (ii) the SU(3) Argyres–Douglas point is studied. In the latter case the approach via the explicit formulas derived raises, for example, the question whether the scalar modes admit an interpretation in terms of BPS mass states everywhere in moduli space. There is also an appendix giving details on the class of special functions (Lauricella functions of type D) which naturally appear in the formulas for the scalar modes.
منابع مشابه
Explicit Formulas for the Scalar Modes in Seiberg–Witten Theory with an Application to the Argyres–Douglas Point
General formulas for the scalar modes ai and a i D in the Seiberg–Witten SU(N) setting are derived in the cases with and without massive hypermultiplets. Subsequently these formulas are applied in a study of the SU(3) Argyres–Douglas point. We use this example to study the question, whether the scalar modes admit an interpretation in terms of BPS mass states everywhere in moduli space. The pape...
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تاریخ انتشار 2004