auth/rfc_authority_check is a SAP Parameter attribute which is used to control Execution option for the RFC authority check information. This is available within R/3 SAP systems depending on the version and release level.
Below is the standard documentation available and a few details of the attributes values .
0 =
No authorization check
1 =
Authorization check is active (no check for same user) (no check for
same user context and SRFC FUGR)
2 =
Authorization check is active (no check for SRFC FUGR)
3 =
Login required for all function modules except RFC_PING and
RFC_SYSTEM_INFO (no authorization check)
4 =
Authorization check required for all function modules except RFC_PING
and RFC_SYSTEM_INFO
5 =
Login required for all function modules except RFC_PING (no
authorization check)
6=
Authorization check required for all function modules except RFC_PING
8 =
Login required for all function modules (no authorization check)
9 =
Authorization check required for all function modules
Note: An authorization check requires a successful logon first.
See SAP Parameter Documentation for full SAP documentation for this profile parameter.