However, their model does not account for the [[chiral]] coupling between the [[fermions]] and the SU(2) [[gauge bosons]] in the [[standard model]].
For strings labeled by the positive integers, string-nets are the [[spin network]]s studied in [[loop quantum gravity]]. This has led to the proposal by Levin and Wen,<ref>{{cite Journal |title=Photons and electrons as emergent phenomena |first1=Michael |last1=Levin, |first2=Xiao-Gang |last2=Wen |url=https://arxiv.org/abspdf/cond-mat/0407140.pdf page|journal=Rev. 8Mod. "Phys. |volume=77 |pages=871-879 [878] |date=2005 |quote=loop quantum gravity appears to be a string net condensation … |doi=10.1103/RevModPhys.77."871 }}</ref> and Smolin, Markopoulou and Konopka<ref>{{cite arXiv |eprint=hep-th/0611197 |quote=weWe argue, (but do not prove,) that loopunder quantumcertain gravity'sconditions spinthe networksspins in the system can reproducearrange Levinthemselves andin Wen'sregular, stringlattice-like netpatterns condensationat inlow quantum gravity..temperatures. |author1first1=Tomasz |last1=Konopka |author2first2=Fotini |last2=Markopoulou |author3first3=Lee |last3=Smolin |title=Quantum Graphity |pagesurl=hep–thhttps://arxiv.org/pdf/0611197 |class=hep-th/0611197.pdf |date=2006}}</ref> that loop quantum gravity's spin networks can give rise to the [[standard model]] of [[particle physics]] through this mechanism, along with [[fermi statistics]] and [[gauge bosons|gauge interactions]]. To date, a rigorous derivation from LQG's spin networks to Levin and Wen's spin lattice has yet to be done, but the project to do so is called [[Event symmetry#Quantum_graphity_and_other_random_graph_models|quantum graphity]], and in a more recent paper, Tomasz Konopka, [[Fotini Markopoulou]], [[Simone Severini]] argued that there are some similarities to spin networks (but not necessarily an exact equivalence) that gives rise to U(1) gauge charge and electrons in the string net mechanism.<ref>{{cite journal |title=Quantum Graphitygraphity: aA model of emergent locality |first1=Tomasz |last1=Konopka |first2=Fotini |last2=Markopoulou |first3=Simone |last3=Severini |journal=Phys. Rev. D |volume=77 |issue=10 |page=19 |date=May 2008 |doi=10.1103/PhysRevD.77.104029 |url=https://arxiv.org/abspdf/0801.0861.pdf page|quote=The #19 "the excitationcharacterization of the string-condensed ground state... is difficult but its excitations are expected to givebe risethat toof a U(1) gauge chargetheory, ...… The two main differencedifferences between this model and the original string-net condensation model ofproposed by Levin and Wen isare that in the present case the background lattice is dynamical, and has hexagonal rather than square plaquettes.}}</ref>
[[Herbertsmithite]] may be an example of string-net matter.<ref name=eureka>{{cite web|last=Bowles|first=Claire|title=Have researchers found a new state of matter?|url=http://www.eurekalert.org/pub_releases/2007-03/ns-hrf031407.php|publisher=Eureka Alert|accessdate=29 January 2012}}</ref><ref name=newscientist>{{cite journal|last=Merali|first=Zeeya|title=The universe is a string-net liquid|journal=New Scientist|date=2007-03-17|volume=193|issue=2595|pages=8–9|url=https://www.newscientist.com/article/mg19325954.200|accessdate=29 January 2012|doi=10.1016/s0262-4079(07)60640-x}}</ref>
