Zero modes on linked strings

Jaume Garriga, Tanmay Vachaspati

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


We study linked loops of strings in the presence of bosonic condensates and fermionic zero modes on the strings. We find that the strings necessarily carry a current if the bosons have an Aharanov-Bohm interaction with the string. The fermionic case is analyzed in the context of the standard model where there are lepton and quark zero modes on Z-strings. Here we find that the fermionic ground state in the linked string background is lower than the ground state when the loops are unlinked but otherwise identical. As in the bosonic case, the Z-strings carry a non-vanishing electric current in the ground state. The baryon number of the linked configuration is found to agree with previous indirect results. We also evaluate the angular momentum, electromagnetic charge and baryonic three current on the linked Z-string configuration. Finally we point out a possible gravitational analogue of the linked string system.

Original languageEnglish (US)
Pages (from-to)161-181
Number of pages21
JournalNuclear Physics, Section B
Issue number1-2
StatePublished - Mar 27 1995
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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