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Erik Verlinde

Bais-Fest , June 15 , 2010 FLUX METAMORPHOSIS = NON-ABELIAN BRAIDING. Erik Verlinde. Flux Metamorphosis. E-mail from Sander ~ May 1990 . “These are truly non -abelian anyons ”. Nucl.Phys.B170:32,1980. “ Truly n on abelian flux” FAB (1980).

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Erik Verlinde

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  1. Bais-Fest, June 15 , 2010 FLUX METAMORPHOSIS = NON-ABELIAN BRAIDING Erik Verlinde

  2. Flux Metamorphosis E-mail from Sander ~ May 1990. “These are trulynon-abeliananyons” Nucl.Phys.B170:32,1980.

  3. “Trulynon abelian flux” FAB (1980) Flux in spontaneouslybrokengaugetheories is measuredby and characterizedbyan element of the discrete group Onlyconjugacy classes are gauge invariant => Class algebra Fusion Rules

  4. Flux Metamorphosis NonAbelian Braiding

  5. Knots and Links “As we do not want to tied up in knot theory…” Fusion and crossing These ideaspreceded conformal field theory and Chern-Simonstheory

  6. Nonabelian fluxtubes cannotlink.

  7. Non-abelianAnyonsusing WZW (or G/H) Theconnection is givenby Particlesexperiencenon-abelianbraidstatisticsdescribedmymonodromies of WZW conformalblocks. Fluxes & Representations are equivalent!

  8. Non-abelianAnyonsusing WZW (or G/H) Braiding and monodromy Fusion:determineseigenvalues of M

  9. Links do exist

  10. Aharonov-Bohmscattering

  11. Mach Zender Experiment withNon AbelianAnyons F.A.Bais + B. Overbosch Inequivalent classes of interferenceexperiments Withnon-abeliananyons

  12. Many to oneinterference experiment

  13. Questionfor Sander:Howcanitbethat ismeasurable, while links do notexistfor non abelianfluxes?

  14. 1 0 1 1 2 3 5 8 13 21 34 55 89 ... 2 1 3 4 7 11 18 29 47 76 123 …. 5 5 10 15 25 40 65 105 170 … 15 20 35 55 90 145 235 … 50 75 125 200 325 … 175 275 450 … 625 .?.

  15. 1 0 1 1 2 3 5 8 13 21 34 55 89 144 .. 2 1 3 4 7 11 18 29 47 76 123 199 …. 5 5 10 15 25 40 65 105 170 275 … 15 20 35 55 90 145 235 380 … 50 75 125 200 325 525… 175 275 450 725 … 625 1000 … .?.

  16. SANDERHappy Metamorphosis!Enjoy the nextnewstage in your live

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