Renormalisation Flow and Geodesics on the Moduli Space of Four Dimensional N=2 Supersymmetric Yang-Mills Theory

Abstract

It is shown that the beta functions for four dimensional N=2 supersymmetric Yang-Mills theory without matter give integral curves on the moduli space some of which are geodesics of the natural metric on the moduli space. In particular the flow lines which cross-over from from the weak coupling limit (asymptotically free theory) to the singular points, representing the strong coupling limit, are geodesics. A possible connection with irreversibility is discussed.

9 pages, 1 figure, typeset in PlainTeX

References in corpus (1)

• Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten)

Cited by in corpus (8)

• N=2 SYM RG Scale as Modulus for WDVV Equations
• Modular Symmetry and Fractional Charges in N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect
• The geometry of RG flows in theory space
• N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect
• Renormalization group flow and parallel transport with non-metric compatible connections
• Meromorphic Scaling Flow of N=2 Supersymmetric SU(2) Yang-Mills with Matter
• RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM
• Geometry of theory space and RG flows