Phase I/II Study of Rapcabtagene Autoleucel in CLL, 3L+ DLBCL, r/r ALL and 1L HR LBCL

Inclusion Criteria: * ECOG performance status 0-1 for ALL and DLBCL * ECOG performance status 0-2 for 1L HR LBCL at screening * CLL or SLL diagnosis according to iwCLL criteria * CLL/SLL in SD or PR after at least 6 months of ibrutinib, either as second or subsequent line of therapy * DLBCL diagnosis by local histopathology * DLBCL relapsed or refractory after 2 or more lines of therapy, including autologous hematopoietic stem cell transplantation (HSCT) * Refractory or relapsed CD19-positive ALL * ALL with morphologic disease in the bone marrow 1L HR LBCL - Considered to be high-risk based on at least 1 of the following at diagnosis: * IPI score of 3, 4 or 5 * MYC and BCL2 and/or BCL6 rearrangement (DH/TH lymphoma) * Participants must have received 2 cycles of frontline therapy for LBCL with R-CHOP or Pola-R-CHP or DA-EPOCH-R. Participants with DH/TH lymphoma must have received at least one cycle (the most recent) DA-EPOCH-R. * Participants must have a positive PET per Lugano classification (Deauville PET score of 4 or 5 and an overall response of PR/SD) after 2 cycles of frontline CIT. Note: Patient's with Deauville PET score of 5 and overall response of PD, or with Deauville PET score of 1, 2, or 3 and overall response of CR, are not eligible for this trial. Exclusion Criteria: * Prior CD19-directed therapy * Prior administration of a genetically engineered cellular product * Prior allogeneic HSCT * Richter's transformation * For 1L HR LBCL: Richter's transformation, Burkitt lymphoma, primary DLBCL of CNS, DLBCL associated with chronic inflammation, intravascular large B-cell lymphoma, ALK- positive large B-cell lymphoma, HHV8 positive LBCL, DLBCL leg type or EBV positive DLBCL, NOS. * Active CNS lymphoma * For 1L HR LBCL: Active or prior history CNS involvement by malignancy * Targeted small molecule or kinase inhibitor within 2 weeks from leukapheresis Other protocol-defined inclusion/exclusion may apply.