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Classical boundary field theory of Jacobi sigma models by Poissonization
by Ion V. Vancea
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Submission summary
| Authors (as registered SciPost users): | Ion Vancea |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2012.02756v4 (pdf) |
| Date accepted: | 2021-04-13 |
| Date submitted: | 2021-03-16 19:27 |
| Submitted by: | Vancea, Ion |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Published as SciPost Phys. Proc. 4, 011 (2021)
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The author revised the contribution according to the suggestions, therefore I find the contribution to the proceedings issue acceptable.
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In the mean time, three references in the contribution, [1], [2] and [20], have been publish. Author might want to update the reference list.