Extended superconformal Galilean symmetry in Chern-Simons matter systems

Leblanc, M.; Lozano, Gustavo

doi:10.1016/0003-4916(92)90350-u

Cited by 83 publications

(192 citation statements)

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“…To answer this question, it is first necessary to understand and further explore the notion of "non-relativistic supersymmetry" itself. While specific examples of non-relativistic supersymmetric field theories have been constructed previously [22][23][24], many aspects of this subject still remain unexplored.…”

Section: Jhep06(2016)028mentioning

confidence: 99%

Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity

Knodel

Lisbão

Liu

2016

J. High Energ. Phys.

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Recently, a non-relativistic off-shell formulation of three dimensional NewtonCartan supergravity was proposed as the c → ∞ limit of three dimensional N = 2 supergravity [1]. In the present paper we study supersymmetric backgrounds within this theory. Using integrability constraints for the non-relativistic Killing spinor equations, we explicitly construct all maximally supersymmetric solutions, which admit four supercharges. In addition to these solutions, there are 1 2 -BPS solutions with reduced supersymmetry. We give explicit examples of such backgrounds and derive necessary conditions for backgrounds preserving two supercharges. Finally, we address how supersymmetric backgrounds of N = 2 supergravity are connected to the solutions found here in the c → ∞ limit.

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Section: Jhep06(2016)028mentioning

confidence: 99%

Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity

Knodel

Lisbão

Liu

2016

J. High Energ. Phys.

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“…The Galilean invariance as well as non-relativistic conformal invariance (known as Schrödinger invariance [3,7,18,19]) can be implemented by directly taking the non-relativistic limit of relativistic Chern-Simons-matter theory in the same dimension [10,11]. The construction can be applied to the supersymmetric Chern-Simons-matter theory as well [12], and explicit examples of non-relativistic superconformal field theories have been constructed in this way [14,16]. As a particular example, various non-relativistic limits of the M2-brane gauge theory were scrutinized in [15], 1 which may admit the explicit gravity solution that can be studied in the context of non-relativistic AdS/CFT correspondence.…”

Section: Introductionmentioning

confidence: 99%

Superfield Formulation for Non-Relativistic Chern–Simons-Matter Theory

Nakayama

2009

Lett Math Phys

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Abstract. We construct a superfield formulation for non-relativistic Chern-Simons-matter theories with manifest dynamical supersymmetry. By eliminating all the auxiliary fields, we show that the simple action reduces to the one obtained by taking non-relativistic limit from the relativistic Chern-Simons-matter theory proposed in the literature. As a further application, we give a manifestly supersymmetric derivation of the non-relativistic ABJM theory.

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“…[10]. Notice that terms of the potential proportional to λ 2 and λ 3 would be equivalent to each other in ordinary space and that the term proportional to λ 4 would be identically zero due to the anticommuting character of the fermion fields.…”

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confidence: 99%

“…Notice that terms of the potential proportional to λ 2 and λ 3 would be equivalent to each other in ordinary space and that the term proportional to λ 4 would be identically zero due to the anticommuting character of the fermion fields. We have chosen a particular sign for the Pauli interaction (corresponding to a "down" spinor) which coincides with the one in [10].…”

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confidence: 99%

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Nonrelativistic supersymmetry in noncommutative space

et al. 2005

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We analyze a model of nonrelativistic matter in (2 + 1)-dimensional noncommutative space. The matter fields interact with gauge fields whose dynamics is dictated by a Chern-Simons term. We show that it is possible to choose the coupling constants in such a way that the model has and extended supersymmetry and Bogomolnyi equations can be found.  2005 Elsevier B.V. All rights reserved.In the past few years, field theories defined in noncommutative (NC) space have received much attention mainly in connection with the effective low energy description of string theories [1]. For the particular case of (2 + 1)-dimensional space, it has also been argued that Chern-Simons theories in NC space can be used as an effective description of the physics of the quantum Hall effect [2,3].Motivated by these facts, the extension to NC space of the Jackiw and Pi model (JP) [4] of nonrelativistic matter interacting with gauge fields whose dynamics is governed by Chern-Simons fields was first considered in [5].In ordinary space, this model, which is related to the physics of the Aharonov-Bohm problem, provides a nontrivial example of a gauge theory invariant under the action of the Galilean group [6]. Indeed, the space-time invariance group is larger as the theory is also invariant under dilations and conformal transformations, at least at the classical level. As it is the case for many gauge theories, the scale invariance of the action is broken by quantum corrections. Interestingly, the invariance is recovered for a particular relation of coupling constants [7].

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Extended superconformal Galilean symmetry in Chern-Simons matter systems

Cited by 83 publications

References 18 publications

Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity

Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity

Superfield Formulation for Non-Relativistic Chern–Simons-Matter Theory

Nonrelativistic supersymmetry in noncommutative space

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