Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds

TY - JOUR

T1 - Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds

AU - Papadopoulos, G.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - We show that the Killing spinor equations of all supergravity theories which may include higher order corrections on a (r,s)-signature spacetime are associated with twisted covariant form hierarchies. These hierarchies are characterized by a connection on the space of forms which may not be degree preserving. As a consequence we demonstrate that the form Killing spinor bi-linears of all supersymmetric backgrounds satisfy a suitable generalization of conformal Killing-Yano equation with respect to this connection. To illustrate the general proof the twisted covariant form hierarchies of some supergravity theories in 4, 5, 6, 10 and 11 dimensions are also presented.

AB - We show that the Killing spinor equations of all supergravity theories which may include higher order corrections on a (r,s)-signature spacetime are associated with twisted covariant form hierarchies. These hierarchies are characterized by a connection on the space of forms which may not be degree preserving. As a consequence we demonstrate that the form Killing spinor bi-linears of all supersymmetric backgrounds satisfy a suitable generalization of conformal Killing-Yano equation with respect to this connection. To illustrate the general proof the twisted covariant form hierarchies of some supergravity theories in 4, 5, 6, 10 and 11 dimensions are also presented.

KW - Differential and Algebraic Geometry

KW - Global Symmetries

KW - Supergravity Models

UR - http://www.scopus.com/inward/record.url?scp=85087410008&partnerID=8YFLogxK

U2 - 10.1007/JHEP07(2020)025

DO - 10.1007/JHEP07(2020)025

M3 - Article

AN - SCOPUS:85087410008

SN - 1126-6708

VL - 2020

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7

M1 - 25

ER -