A Study to Evaluate VIB7734 in Participants With Systemic Lupus Erythematosus (SLE), Cutaneous Lupus Erythematosus (CLE), Sjogren's Syndrome, Systemic Sclerosis, Polymyositis, and Dermatomyositis

Inclusion Criteria: * Participants aged 18 through 75 years at the time of screening * Participants with at least one of the following diagnoses: 1. Systemic Lupus Erythematosus 2. Cutaneous lupus erythematosus, including acute CLE, subacute CLE, and discoid lupus erythematosus 3. Sjogren's syndrome (for Cohort 1 only) 4. Systemic sclerosis (for Cohort 1 only) 5. Probable or definite polymyositis (for Cohort 1 only) 6. Probable or definite dermatomyositis (for Cohort 1 only) * For Cohorts 2 and 3 only: Participants with CLASI activity score greater than or equal to (\>=) 8 at both Visits 1 (screening) and 2 (baseline) * For Cohorts 2 and 3 only: a skin lesion amenable to punch skin biopsy and willingness of the participant to undergo skin biopsy at two time points * For Cohorts 2 and 3 only: photographs of skin lesions must be submitted for review to confirm the diagnosis of SLE or CLE with active skin lesions confirmation of the diagnosis by the central reviewer must be received prior to randomization * Females of childbearing potential and nonsterilized males who are ready to use protocol defined contraception methods Exclusion Criteria: * Severe manifestations of the diseases under study that could impact the participant safety * Known history of a primary immunodeficiency or an underlying condition such as known human immunodeficiency virus (HIV) infection, a positive result for HIV infection, splenectomy, or any underlying condition that predisposes the participant to infection * At screening, have adequate central laboratory test results: aspartate transaminase greater than (\>) 2.5 x upper limit of normal (ULN); alanine transaminase \>2.5 x ULN; total bilirubin 1.5 x ULN; total immunoglobulin \< 500 gram/decilitre; neutrophil count less than (\<) 1,000/μL; platelet count \< 85,000/μL; haemoglobin \< 10 g/dL; glycosylated haemoglobin \> 8 percent (%); total lymphocyte count \< 300 cells/mm\^3; glomerular filtration rate \< 50 mL/min/1.73 m\^2; plasmacytoid dendritic cells (pDC) level \< 0.02% of peripheral blood mononuclear cells (PBMCs) * Positive test for chronic hepatitis B infection at screening and for hepatitis C virus antibody * History of or active tuberculosis (TB), or a positive QuantiFERON®-TB Gold test at screening; a primary immunodeficiency or an underlying condition such as known human immunodeficiency virus (HIV) infection, a positive result for HIV infection per central laboratory; cancer; clinically significant cardiac disease * Herpes zoster infection within 3 months before randomization and/or any severe herpes virus family infection at any time prior to randomization * Any acute illness or evidence of clinically significant active infection, such as fever \>= 38.0 degrees Celsius (\>= 100.5 degrees Fahrenheit) at screening (Visit 1) or Day 1 (Visit 2) * Cohorts 2 and 3 only: use of Group 1 (super-high potency) or Group 2 (high potency) topical corticosteroids * Receipt of a live-attenuated vaccine within 4 weeks prior to Day 1 * Cohorts 2 and 3 only: have received changing doses of mycophenolate mofetil, methotrexate, leflunomide, azathioprine, or non-steroidal topical immunosuppressants within 28 days before study Day 1 or changing doses of oral or topical corticosteroids within 14 days before study Day 1