Brake running gear arrangement for a swing-open sliding door, in particular for a sliding door system having a plurality of such sliding doors, comprising - a running rail with at least one horizontal running plane, - a vertical main shaft (4, 4') serving to support the sliding door or window, = on which at least one roller rolling in the horizontal running plane in the running rail is rotatably mounted, and = on which the sliding door is mounted to be swivellable about a vertical swivel axis to swing open, and - a braking device (2, 2') which is connected in a rotationally fixed manner to the main shaft and is seated thereon for fixing the main shaft in the running rail during the upward swivelling movement of the sliding door, wherein the braking device (2, 2') comprises - a bearing part (15, 15') coupled in a rotationally fixed manner to the main shaft, - two brake shoes (22, 22') spreadable in opposite directions in a horizontal direction transverse to the running direction between a release position and a braking position in braking engagement with the running rail, and - a cam control for converting the swivelling movement of the main shaft into the spreading movement of the brake shoes (22, 22') into braking engagement with the running rail, wherein the bearing part (15, 15') has a bearing journal (24, 24') which is arranged concentrically with the main shaft (4, 4'), is coupled in a rotationally fixed manner and is preferably formed in one piece with the main shaft, and between which and the brake shoes (22, 22') the cam control (27, 27') is arranged, characterized in that the cam control (27, 27') has at least one, preferably two, coupling elements, preferably coupling rolls, which are seated diametrically in a respective cam recess (29, 29') in the bearing journal (24, 24') and in shape-matched control runners on the brake shoes (22, 22'), in that the coupling elements are disengaged from the cam recess (27, 27') by swivelling the bearing journal (24, 24') relative to the brake shoes (22, 22') guided in a rotationally fixed manner in the running rail and transfer the brake shoes (22, 22') from the release position into the braking position in engagement with the running rail via the control runners. - a running rail with at least one horizontal running plane, - a vertical main shaft (4, 4') serving to support the sliding door or window, = on which at least one roller rolling in the horizontal running plane in the running rail is rotatably mounted, and = on which the sliding door is mounted to be swivellable about a vertical swivel axis to swing open, and = on which at least one roller rolling in the horizontal running plane in the running rail is rotatably mounted, and = on which the sliding door is mounted to be swivellable about a vertical swivel axis to swing open, and - a braking device (2, 2') which is connected in a rotationally fixed manner to the main shaft and is seated thereon for fixing the main shaft in the running rail during the upward swivelling movement of the sliding door, wherein the braking device (2, 2') comprises - a bearing part (15, 15') coupled in a rotationally fixed manner to the main shaft, - two brake shoes (22, 22') spreadable in opposite directions in a horizontal direction transverse to the running direction between a release position and a braking position in braking engagement with the running rail, and - a cam control for converting the swivelling movement of the main shaft into the spreading movement of the brake shoes (22, 22') into braking engagement with the running rail, wherein the bearing part (15, 15') has a bearing journal (24, 24') which is arranged concentrically with the main shaft (4, 4'), is coupled in a rotationally fixed manner and is preferably formed in one piece with the main shaft, and between which and the brake shoes (22, 22') the cam control (27, 27') is arranged, characterized in that the cam control (27, 27') has at least one, preferably two, coupling elements, preferably coupling rolls, which are seated diametrically in a respective cam recess (29, 29') in the bearing journal (24, 24') and in shape-matched control runners on the brake shoes (22, 22'), in that the coupling elements are disengaged from the cam recess (27, 27') by swivelling the bearing journal (24, 24') relative to the brake shoes (22, 22') guided in a rotationally fixed manner in the running rail and transfer the brake shoes (22, 22') from the release position into the braking position in engagement with the running rail via the control runners. wherein the bearing part (15, 15') has a bearing journal (24, 24') which is arranged concentrically with the main shaft (4, 4'), is coupled in a rotationally fixed manner and is preferably formed in one piece with the main shaft, and between which and the brake shoes (22, 22') the cam control (27, 27') is arranged, characterized in that the cam control (27, 27') has at least one, preferably two, coupling elements, preferably coupling rolls, which are seated diametrically in a respective cam recess (29, 29') in the bearing journal (24, 24') and in shape-matched control runners on the brake shoes (22, 22'), in that the coupling elements are disengaged from the cam recess (27, 27') by swivelling the bearing journal (24, 24') relative to the brake shoes (22, 22') guided in a rotationally fixed manner in the running rail and transfer the brake shoes (22, 22') from the release position into the braking position in engagement with the running rail via the control runners.