Prepotentials and Riemann surfaces
Robert Carroll (Mathematics Dept., University of Illinois, Urbana, IL)
TL;DR
This paper reviews the mathematical structures of prepotentials, Riemann surfaces, and related concepts, highlighting their interconnections and suggesting future research directions in theoretical physics and mathematics.
Contribution
It synthesizes existing knowledge on prepotentials and Riemann surfaces, providing new insights and identifying open problems for further exploration.
Findings
Clarified relationships between prepotentials and Riemann surfaces
Connected kernels, WDVV equations, and renormalization group concepts
Outlined future research directions and unresolved problems
Abstract
We organize and review some material from various sources about prepotentials, Riemann surfaces and kernels, WDVV, and the renormalization group, provide some further connections and information, and indicate some directions and problems.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Algebraic and Geometric Analysis