Currently people interact, trade, and communicate in decentralised, immersive virtual worlds is being revolutionised by the combination of 6G technology and the Metaverse. Secure identity management and privacy protection become essential in this hyper-real digital world, and traditional centralised identification schemes can not meet these needs. With the help of Hyperledger Indy, a distributed ledger designed specifically for decentralised identification, the chapter proposes a novel authentication technique based on Self-Sovereign identification (SSI) principles. The proposed framework leverages Zero-Knowledge Proofs (ZKPs), Verifiable Credentials (VCs), and Decentralised Identifiers (DIDs) to establish a user-managed, trustless identity system that facilitates secure, privacy-preserving, and real-time authentication across several Metaverse platforms (W3C: Verifiable credentials data model 0: expressing verifiable information on the web [1]). The chapter describes how identity holders, credential issuers, and verifiers interact within a decentralised system using a architecture that combines 6G communication infrastructure with the Hyperledger Indy ledger and Aries protocols. We examine two different use scenarios as University Credential Verification for Virtual Campus in the 6G Metaverse and SSI Implementation in a 6G Metaverse Hospital. A performance analysis, comparative evaluation, and discussion of potential future paths are included in the chapter's conclusion. The goal of the suggested architecture is to serve as a model for secure digital identity in the upcoming generation of decentralised and immersive applications.