The c-map on groups

TY - JOUR

T1 - The c-map on groups

AU - Macia, Oscar

AU - Swann, Andrew Francis

PY - 2019/12

Y1 - 2019/12

N2 - We study the projective special Kähler condition on groups, providing an intrinsic definition of homogeneous projective special Kähler that includes the previously known examples. We give intrinsic defining equations that may be used without resorting to computations in the special cone, and emphasise certain associated integrability equations. The definition is shown to have the property that the image of such structures under the c-map is necessarily a left-invariant quaternionic Kähler structure on a Lie group.

AB - We study the projective special Kähler condition on groups, providing an intrinsic definition of homogeneous projective special Kähler that includes the previously known examples. We give intrinsic defining equations that may be used without resorting to computations in the special cone, and emphasise certain associated integrability equations. The definition is shown to have the property that the image of such structures under the c-map is necessarily a left-invariant quaternionic Kähler structure on a Lie group.

U2 - 10.1088/1361-6382/ab56ee

DO - 10.1088/1361-6382/ab56ee

M3 - Journal article

SN - 0264-9381

VL - 37

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 1

M1 - 015015

ER -