A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa ›...
Transcript of A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa ›...
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NathanSeibergIAS
ADualityWebin2+1Dimensions andtheUnityofPhysics
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Basedon:NSandE.Witten,arXiv:1602.04251;NS,T.Senthil,C.Wang,andE.Witten,arXiv:1606.01989;P.-S.Hsin,NS,arXiv:1607.07457
Recentrelatedpapers:A.KarchandD.Tong,arXiv:1606.01893;J.MuruganandH.Nastase,arXiv:1606.01912
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Three(almost)independentlinesofdevelopment–theunityofphysics
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• Statisticaltransmutation:amassiveparticlecoupledtoadynamical(statistical,emergent)gaugefieldwithaChern-Simonstermcanchangeitsspinandstatistics[Wilczek;Polyakov;Jain].– Manyapplications(FQHE,compositefermions,fluxattachment,…)
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• Statisticaltransmutation:amassiveparticlecoupledtoadynamical(statistical,emergent)gaugefieldwithaChern-Simonstermcanchangeitsspinandstatistics[Wilczek;Polyakov;Jain].– Manyapplications(FQHE,compositefermions,fluxattachment,…)
• Thisdoesnotmeanthatasecond-quantizedtheoryofmasslessinteractingbosonscoupledtoagaugefieldwithaChern-Simonstermisdualtoatheoryoffermions(ortheotherwayaround).
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Thesupersymmetricroute
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Thesupersymmetricroute
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Thesupersymmetricroute
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Synthesis[Aharony]
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Synthesis[Aharony]
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Puzzles
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Puzzles
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Derivemanyotherdualities
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Anotherboson/fermionduality
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Afermion/fermionduality
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More
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