TY - JOUR
T1 - Non-relativistic ten-dimensional minimal supergravity
AU - Bergshoeff, E. A.
AU - Lahnsteiner, J.
AU - Romano, L.
AU - Rosseel, J.
AU - Şimşek, C.
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/12
Y1 - 2021/12
N2 - We construct a non-relativistic limit of ten-dimensional N = 1 supergravity from the point of view of the symmetries, the action, and the equations of motion. This limit can only be realized in a supersymmetric way provided we impose by hand a set of geometric constraints, invariant under all the symmetries of the non-relativistic theory, that define a so-called ‘self-dual’ Dilatation-invariant String Newton-Cartan geometry. The non-relativistic action exhibits three emerging symmetries: one local scale symmetry and two local conformal supersymmetries. Due to these emerging symmetries the Poisson equation for the Newton potential and two partner fermionic equations do not follow from a variation of the non-relativistic action but, instead, are obtained by a supersymmetry variation of the other equations of motion that do follow from a variation of the non-relativistic action. We shortly discuss the inclusion of the Yang-Mills sector that would lead to a non-relativistic heterotic supergravity action.
AB - We construct a non-relativistic limit of ten-dimensional N = 1 supergravity from the point of view of the symmetries, the action, and the equations of motion. This limit can only be realized in a supersymmetric way provided we impose by hand a set of geometric constraints, invariant under all the symmetries of the non-relativistic theory, that define a so-called ‘self-dual’ Dilatation-invariant String Newton-Cartan geometry. The non-relativistic action exhibits three emerging symmetries: one local scale symmetry and two local conformal supersymmetries. Due to these emerging symmetries the Poisson equation for the Newton potential and two partner fermionic equations do not follow from a variation of the non-relativistic action but, instead, are obtained by a supersymmetry variation of the other equations of motion that do follow from a variation of the non-relativistic action. We shortly discuss the inclusion of the Yang-Mills sector that would lead to a non-relativistic heterotic supergravity action.
KW - Classical Theories of Gravity
KW - Supergravity Models
KW - Superstrings and Heterotic Strings
UR - http://www.scopus.com/inward/record.url?scp=85121459148&partnerID=8YFLogxK
U2 - 10.1007/JHEP12(2021)123
DO - 10.1007/JHEP12(2021)123
M3 - Article
AN - SCOPUS:85121459148
SN - 1126-6708
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 12
M1 - 123
ER -