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Summary
The documentation in Physlib/Particles/SuperSymmetry/MSSMNu/AnomalyCancellation/Basic.lean (around line 10) is incorrect.
Current text
# The MSSM with 3 families and RHNs
We define the system of ACCs for the MSSM with 3 families and RHNs.
We define the system of charges for 1-species. We prove some basic lemmas about them.
Why this is wrong
The file's documentation states it defines anomaly cancellation conditions for the MSSM with 3 families and right-handed neutrinos (RHNs). However, the code only implements charge definitions and ACCs for the standard MSSM without RHNs. The MSSMCharges structure and related lemmas like toSpecies split charges into SM fermions and MSSM Higgses but do not include any RHN-specific species or charges.
The correction removes mention of RHNs because the code lacks any definitions that would account for them, such as additional fermion species in MSSMSpecies or corresponding terms in anomaly equations. The current implementation aligns with the standard MSSM, which does not include right-handed neutrinos. This matches the actual Lean declarations, which define only 18 SM fermions plus 2 Higgses in toSMPlusH, without any RHN contributions.
Suggested correction
# The MSSM with 3 families
We define the system of ACCs for the MSSM with 3 families.
We define the system of charges for 1-species. We prove some basic lemmas about them.
Summary
The documentation in
Physlib/Particles/SuperSymmetry/MSSMNu/AnomalyCancellation/Basic.lean(around line 10) is incorrect.Current text
Why this is wrong
The file's documentation states it defines anomaly cancellation conditions for the MSSM with 3 families and right-handed neutrinos (RHNs). However, the code only implements charge definitions and ACCs for the standard MSSM without RHNs. The
MSSMChargesstructure and related lemmas liketoSpeciessplit charges into SM fermions and MSSM Higgses but do not include any RHN-specific species or charges.The correction removes mention of RHNs because the code lacks any definitions that would account for them, such as additional fermion species in
MSSMSpeciesor corresponding terms in anomaly equations. The current implementation aligns with the standard MSSM, which does not include right-handed neutrinos. This matches the actual Lean declarations, which define only 18 SM fermions plus 2 Higgses intoSMPlusH, without any RHN contributions.Suggested correction