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Nathan Seiberg IAS A Duality Web in 2 + 1 Dimensions and the Unity of Physics

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Page 1: A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa › stringsmirrors › 2016 › main...4 • Statistical transmutation: a massive particle coupled

NathanSeibergIAS

ADualityWebin2+1Dimensions andtheUnityofPhysics

Page 2: A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa › stringsmirrors › 2016 › main...4 • Statistical transmutation: a massive particle coupled

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]

Page 18: A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa › stringsmirrors › 2016 › main...4 • Statistical transmutation: a massive particle coupled

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Puzzles

Page 19: A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa › stringsmirrors › 2016 › main...4 • Statistical transmutation: a massive particle coupled

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Puzzles

Page 20: A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa › stringsmirrors › 2016 › main...4 • Statistical transmutation: a massive particle coupled

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Derivemanyotherdualities

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Page 26: A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa › stringsmirrors › 2016 › main...4 • Statistical transmutation: a massive particle coupled

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Anotherboson/fermionduality

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Page 27: A Duality Web in 2 + 1 Dimensions and the Unity of …member.ipmu.jp › yuji.tachikawa › stringsmirrors › 2016 › main...4 • Statistical transmutation: a massive particle coupled

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Afermion/fermionduality

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More

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