Geometrical approach to duality in N=1 supersymmetric theories
Ph Brax, C. Grojean, C.A. Savoy
TL;DR
This paper explores the geometric structure of moduli spaces in N=1 supersymmetric theories, demonstrating their equivalence under duality through Kahler potential analysis.
Contribution
It provides a geometric perspective on electric-magnetic duality in N=1 supersymmetric theories, focusing on the Kahler structure of moduli spaces.
Findings
Electric and magnetic moduli spaces coincide for appropriate Kahler potentials
The Kahler structure of dual moduli spaces is analyzed and characterized
Duality is reflected in the geometric properties of the moduli spaces
Abstract
We investigate the geometry of the moduli spaces of dual electric and magnetic N=1 supersymmetric field theories. Using the SU(N_c) gauge group as a guideline we show that the electric and magnetic moduli spaces coincide for a suitable choice of the Kahler potential of the magnetic theory. We analyse the Kahler structure of the dual moduli spaces.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Black Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions