Classical boundary field theory of Jacobi sigma models by Poissonization

Ion V. Vancea

SciPost Phys. Proc. 4, 011 (2021) · published 13 August 2021

Proceedings event

4th International Conference on Holography, String Theory and Discrete Approach in Hanoi

Abstract

In this paper, we are going to construct the classical field theory on the boundary of the embedding of $\mathbb{R} \times S^{1}$ into the manifold $M$ by the Jacobi sigma model. By applying the poissonization procedure and by generalizing the known method for Poisson sigma models, we express the fields of the model as perturbative expansions in terms of the reduced phase space of the boundary. We calculate these fields up to the second order and illustrate the procedure for contact manifolds.


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