期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2020)027
关键词
Bosonic Strings; Integrable Field Theories; Sigma Models; AdS-CFT Correspondence
资金
- STFC scholarship
- STFC [2181193] Funding Source: UKRI
We investigate classical integrability on two recently discovered classes of back- grounds in massive IIA supergravity. These vacua are of the form AdS(3) x S-2 x Double-struck capital R x CY2, they preserve small N\documentclass[12pt] = (0, 4) supersymmetry and are associated with D8-D6-D4-D2 Hanany-Witten brane set-ups. We choose an appropriate string embedding and use differential Galois theory on its associated Hamiltonian system, intending to produce the conditions under which Liouvillian solutions may occur. By constraining the parameters of the system according to the consistency of the associate brane set-ups we prove that no such conditions exist, yielding the complete non-integrability of these vacua. That is, up to the trivial cases where the background reduces to the Abelian and non-Abelian T-dual of AdS(3) x S-3 x T-4.
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