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Main Authors: Penín, José Manuel, Rigatos, Konstantinos C.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.12257
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author Penín, José Manuel
Rigatos, Konstantinos C.
author_facet Penín, José Manuel
Rigatos, Konstantinos C.
contents We are examining a newly discovered parametric family of backgrounds in massive type IIA supergravity that contains a warped $\text{AdS}_5$ factor. This family is the dual gravity description of $4$-dimensional quivers with $\mathcal{N}=1$ supersymmetry. We are interested in the status of classical integrability in these theories and we show that there exists a single choice of solutions that is special, while all other choices lead to non-integrable quivers and chaotic string motion. By focusing on this special choice we provide strong suggestive evidence for the integrability of the dual field theory based on analytic studies and extensive numerical analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2412_12257
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
Penín, José Manuel
Rigatos, Konstantinos C.
High Energy Physics - Theory
We are examining a newly discovered parametric family of backgrounds in massive type IIA supergravity that contains a warped $\text{AdS}_5$ factor. This family is the dual gravity description of $4$-dimensional quivers with $\mathcal{N}=1$ supersymmetry. We are interested in the status of classical integrability in these theories and we show that there exists a single choice of solutions that is special, while all other choices lead to non-integrable quivers and chaotic string motion. By focusing on this special choice we provide strong suggestive evidence for the integrability of the dual field theory based on analytic studies and extensive numerical analysis.
title Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
topic High Energy Physics - Theory
url https://arxiv.org/abs/2412.12257