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Non-Relativistic Supersymmetry on Curved Three-Manifolds

Bergshoeff, Eric; Chatzistavrakidis, Athanasios; Lahnsteiner, Johannes; Romano, Luca; Rosseel, Jan (2020) Non-Relativistic Supersymmetry on Curved Three-Manifolds. Journal of High Energy Physics, 2020 (7). ISSN 1029-8479

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We construct explicit examples of non-relativistic supersymmetric field theories on curved Newton-Cartan three-manifolds. These results are obtained by performing a null reduction of four-dimensional supersymmetric field theories on Lorentzian manifolds and the Killing spinor equations that their supersymmetry parameters obey. This gives rise to a set of algebraic and differential Killing spinor equations that are obeyed by the supersymmetry parameters of the resulting three-dimensional non-relativistic field theories. We derive necessary and sufficient conditions that determine whether a Newton-Cartan background admits non-trivial solutions of these Killing spinor equations. Two classes of examples of Newton-Cartan backgrounds that obey these conditions are discussed. The first class is characterised by an integrable foliation, corresponding to so-called twistless torsional geometries, and includes manifolds whose spatial slices are isomorphic to the Poincar\'e disc. The second class of examples has a non-integrable foliation structure and corresponds to contact manifolds.

Item Type: Article
Uncontrolled Keywords: non-relativistic supersymmetry
Subjects: NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Nove geometrije za gravitaciju i prostor-vrijeme-GRASPAthanasios ChatzistavrakidisIP-2018-01-7615HRZZ
Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SINBlaženka MelićKK.
Depositing User: Larisa Jonke
Date Deposited: 15 Nov 2021 14:36
DOI: 10.1007/JHEP07(2020)175

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