Sliding door system for installation in a building wall, wherein the sliding door system comprises: a first wall part having a first door opening; a second wall part having a second door opening, wherein the first wall part and the second wall part are arranged opposite one another such that the first door opening is opposite the second door opening and the first wall part is separated from the second wall part by an intermediate space; a first door leaf for closing the first door opening; a second door leaf for closing the second door opening; a door leaf carrier which is slidable along the intermediate space by means of a linear guide device and on which the first door leaf and the second door leaf are pivotably mounted by means of a pivot mechanism; wherein the pivot mechanism comprises several torsion bars (128, 130, 132, 134), rotatably mounted about their longitudinal axis in the door leaf carrier, and several pivot levers (136, 138, 140, 142), wherein each pivot lever (136, 138, 140, 142) is fixedly connected at its first end to one of the 5 torsion bars (128, 130, 132, 134) and at its second end connected in an articulated manner to one of the door leaves (114, 116), and a coupling device for converting a sliding movement of the door leaf carrier into a rotational movement for actuating the pivot mechanism such that the first door leaf and the second door leaf are pivoted relative to the door leaf carrier, wherein the coupling device comprises a slotted component having a slot representing a desired relationship between the sliding movement and the rotational movement and a control lever for coupling the slot to the pivot mechanism, wherein the slotted component is mounted on the first wall part and/or on the second wall part, characterized in that the control lever is fixedly connected at its first end to a first of the torsion bars (128, 130, 132, 134) and is mounted at its second end in an articulated manner in the slot, wherein the first door leaf is connected to the first torsion bar via at least a first of the pivoting levers (136, 138, 140, 142), and via at least a second of the pivoting levers (136, 138, 140, 142) to a second of the torsion bars (128, 130, 132, 134); and/or wherein the second door leaf is connected via at least a third of the pivot levers (136, 138, 140, 142) to a third of the torsion bars (128, 20 130, 132, 134) and via at least a fourth of the pivot levers (136, 138, 140, 142) to a fourth of the torsion bars (128, 130, 132, 134) a first wall part having a first door opening; a second wall part having a second door opening, wherein the first wall part and the second wall part are arranged opposite one another such that the first door opening is opposite the second door opening and the first wall part is separated from the second wall part by an intermediate space; a first door leaf for closing the first door opening; a second door leaf for closing the second door opening; a door leaf carrier which is slidable along the intermediate space by means of a linear guide device and on which the first door leaf and the second door leaf are pivotably mounted by means of a pivot mechanism; wherein the pivot mechanism comprises several torsion bars (128, 130, 132, 134), rotatably mounted about their longitudinal axis in the door leaf carrier, and several pivot levers (136, 138, 140, 142), wherein each pivot lever (136, 138, 140, 142) is fixedly connected at its first end to one of the 5 torsion bars (128, 130, 132, 134) and at its second end connected in an articulated manner to one of the door leaves (114, 116), and a coupling device for converting a sliding movement of the door leaf carrier into a rotational movement for actuating the pivot mechanism such that the first door leaf and the second door leaf are pivoted relative to the door leaf carrier, wherein the coupling device comprises a slotted component having a slot representing a desired relationship between the sliding movement and the rotational movement and a control lever for coupling the slot to the pivot mechanism, wherein the slotted component is mounted on the first wall part and/or on the second wall part, characterized in that the control lever is fixedly connected at its first end to a first of the torsion bars (128, 130, 132, 134) and is mounted at its second end in an articulated manner in the slot, wherein the first door leaf is connected to the first torsion bar via at least a first of the pivoting levers (136, 138, 140, 142), and via at least a second of the pivoting levers (136, 138, 140, 142) to a second of the torsion bars (128, 130, 132, 134); and/or wherein the second door leaf is connected via at least a third of the pivot levers (136, 138, 140, 142) to a third of the torsion bars (128, 20 130, 132, 134) and via at least a fourth of the pivot levers (136, 138, 140, 142) to a fourth of the torsion bars (128, 130, 132, 134)