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arXiv · 2411.17635

Variational Dual Solutions of Chern-Simons Theory

Amit Acharya·Janusz Ginster·Ambar N. Sengupta
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Abstract

A scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for such a functional in appropriate function spaces to prove the existence of a minimizer, which constitutes a solution to the Euler-Lagrange equations of Chern-Simons theory in a relaxed sense. A geometric analysis is also made, especially for the gauge group SU(2), relating connection forms on the bundle to corresponding forms in the dual scheme.

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Amit Acharya, Janusz Ginster, Ambar N. Sengupta. 2024-11-26. Variational Dual Solutions of Chern-Simons Theory. https://arxiv.org/abs/2411.17635

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