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 ›...
NathanSeibergIAS
ADualityWebin2+1Dimensions andtheUnityofPhysics
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
3
Three(almost)independentlinesofdevelopment–theunityofphysics
•
4
• Statisticaltransmutation:amassiveparticlecoupledtoadynamical(statistical,emergent)gaugefieldwithaChern-Simonstermcanchangeitsspinandstatistics[Wilczek;Polyakov;Jain].– Manyapplications(FQHE,compositefermions,fluxattachment,…)
4
• Statisticaltransmutation:amassiveparticlecoupledtoadynamical(statistical,emergent)gaugefieldwithaChern-Simonstermcanchangeitsspinandstatistics[Wilczek;Polyakov;Jain].– Manyapplications(FQHE,compositefermions,fluxattachment,…)
• Thisdoesnotmeanthatasecond-quantizedtheoryofmasslessinteractingbosonscoupledtoagaugefieldwithaChern-Simonstermisdualtoatheoryoffermions(ortheotherwayaround).
5
5
6
6
7
7
8
Thesupersymmetricroute
•
9
Thesupersymmetricroute
9
Thesupersymmetricroute
10
•
11
Synthesis[Aharony]
11
Synthesis[Aharony]
12
Puzzles
12
Puzzles
13
13
14
•
15
•
16
•
17
Derivemanyotherdualities
•
18
Anotherboson/fermionduality
•
•
19
Afermion/fermionduality
20
More
•
20
More