Non-Relativistic M2-Branes and the AdS/CFT Correspondence

Fuente: arXiv
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Autores principales: Lambert, Neil, Smith, Joseph
Formato: Preprint
Publicado: 2024
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author Lambert, Neil
Smith, Joseph
author_facet Lambert, Neil
Smith, Joseph
contents A non-relativistic limit of the AdS/CFT correspondence is studied in the context of M2-branes. On the field theory side this corresponds to a near-BPS limit of ABJM that localises onto solutions of Hitchin's equations. It is shown that the symmetries of the theory include an infinite-dimensional enhancement of the spatial symmetry algebra corresponding to time-dependent holomorphic transformations. Taking the limit of the gravitational dual splits the geometry into three 'large' directions and eight 'small' directions and corresponds to the Membrane-Newton-Cartan limit of eleven-dimensional supergravity. This has the effect of reducing the $AdS_4$ factor to an $AdS_2$ factor for the near-horizon limit of the M2-brane metric. Evidence is presented that the duality is maintained after the limit.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14955
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Non-Relativistic M2-Branes and the AdS/CFT Correspondence
Lambert, Neil
Smith, Joseph
High Energy Physics - Theory
A non-relativistic limit of the AdS/CFT correspondence is studied in the context of M2-branes. On the field theory side this corresponds to a near-BPS limit of ABJM that localises onto solutions of Hitchin's equations. It is shown that the symmetries of the theory include an infinite-dimensional enhancement of the spatial symmetry algebra corresponding to time-dependent holomorphic transformations. Taking the limit of the gravitational dual splits the geometry into three 'large' directions and eight 'small' directions and corresponds to the Membrane-Newton-Cartan limit of eleven-dimensional supergravity. This has the effect of reducing the $AdS_4$ factor to an $AdS_2$ factor for the near-horizon limit of the M2-brane metric. Evidence is presented that the duality is maintained after the limit.
title Non-Relativistic M2-Branes and the AdS/CFT Correspondence
topic High Energy Physics - Theory
url https://arxiv.org/abs/2401.14955