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Title: Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity

Abstract

Recently, a non-relativistic off-shell formulation of three dimensional Newton-Cartan supergravity was proposed as the c → ∞ limit of three dimensional N = 2 super-gravity [1]. Here 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 $$\frac{1}{2}$$ -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.

Authors:
 [1];  [1];  [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1437350
Grant/Contract Number:  
SC0007859
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Holography and condensed matter physics (AdS/CMT); Supergravity Models

Citation Formats

Knodel, Gino, Lisbao, Pedro, and Liu, James T. Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity. United States: N. p., 2016. Web. doi:10.1007/JHEP06(2016)028.
Knodel, Gino, Lisbao, Pedro, & Liu, James T. Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity. United States. doi:10.1007/JHEP06(2016)028.
Knodel, Gino, Lisbao, Pedro, and Liu, James T. Mon . "Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity". United States. doi:10.1007/JHEP06(2016)028. https://www.osti.gov/servlets/purl/1437350.
@article{osti_1437350,
title = {Rigid supersymmetric backgrounds of 3-dimensional Newton-Cartan supergravity},
author = {Knodel, Gino and Lisbao, Pedro and Liu, James T.},
abstractNote = {Recently, a non-relativistic off-shell formulation of three dimensional Newton-Cartan supergravity was proposed as the c → ∞ limit of three dimensional N = 2 super-gravity [1]. Here 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 $\frac{1}{2}$ -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.},
doi = {10.1007/JHEP06(2016)028},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2016,
place = {United States},
year = {2016},
month = {6}
}

Journal Article:
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Cited by: 4 works
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Figures / Tables:

Figure 1 Figure 1: The difference between the non-relativistic BPS-condition, through, obtained by taking the rigid limit of Newton-Cartan supergravity, and the set of backgrounds obtained by taking the non-relativistic limit of the relativistic supersymmetric solutions (grey). In general, the latter is a superset of the former.

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