Rigid supersymmetric backgrounds of 3dimensional NewtonCartan supergravity
Recently, a nonrelativistic offshell formulation of three dimensional NewtonCartan supergravity was proposed as the c → ∞ limit of three dimensional N = 2 supergravity [1]. Here in the present paper we study supersymmetric backgrounds within this theory. Using integrability constraints for the nonrelativistic 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:

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^{[1]}
 Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics
 Publication Date:
 Grant/Contract Number:
 SC0007859
 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 10298479
 Publisher:
 Springer Berlin
 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)
 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
 OSTI Identifier:
 1437350
Knodel, Gino, Lisbao, Pedro, and Liu, James T. Rigid supersymmetric backgrounds of 3dimensional NewtonCartan supergravity. United States: N. p.,
Web. doi:10.1007/JHEP06(2016)028.
Knodel, Gino, Lisbao, Pedro, & Liu, James T. Rigid supersymmetric backgrounds of 3dimensional NewtonCartan supergravity. United States. doi:10.1007/JHEP06(2016)028.
Knodel, Gino, Lisbao, Pedro, and Liu, James T. 2016.
"Rigid supersymmetric backgrounds of 3dimensional NewtonCartan supergravity". United States.
doi:10.1007/JHEP06(2016)028. https://www.osti.gov/servlets/purl/1437350.
@article{osti_1437350,
title = {Rigid supersymmetric backgrounds of 3dimensional NewtonCartan supergravity},
author = {Knodel, Gino and Lisbao, Pedro and Liu, James T.},
abstractNote = {Recently, a nonrelativistic offshell formulation of three dimensional NewtonCartan supergravity was proposed as the c → ∞ limit of three dimensional N = 2 supergravity [1]. Here in the present paper we study supersymmetric backgrounds within this theory. Using integrability constraints for the nonrelativistic 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}
}