Topological twists non-Lagrangian theories · • Theories with non-freely generated Coulomb branch...
Transcript of Topological twists non-Lagrangian theories · • Theories with non-freely generated Coulomb branch...
Topological twistsof
non-Lagrangian theories
• Theories with non-freely generated Coulomb branch chiral rings
• N=3 theories
[P.Argyres, M.Lotito, Y.Lu, M.Martone]
• Argyres-Douglas theories
[O.Aharony, M.Evtikhiev][I.Garca-Etxebarria, D.Regalado]
[O.Aharony, Y.Tachikawa]:
[P.Argyres, M.Douglas][D.Xie]
:
=S x S index
Coulomb branch index
Topological1 3
[M.Dedushenko, S.G., P.Putrov]
4d theory
2d theory[M.Bershadsky, A.Johansen, V.Sadov, C. Vafa]
[J.Harvey, G.Moore, A.Strominger][A.Losev, N.Nekrasov, S.Shatashvili]
[J.Maldacena, C.Nunez][A.Kapustin, E.Witten]
:
S-folds
T-folds
Self-mirror
effective dilaton:
[C.Beem, M.Lemos, P.Liendo, L.Rastelli, B.C.van Rees]
4d N = 1UV
IR
4d N = 2
[A.Gadde, S. Razamat, B.Willett][K.Maruyoshi, J.Song]
:
4d N = 1UV
2d N = (0,2)
IR
4d N = 2
2d N = (2,2)
4d N = 1UV
2d N = (0,2)
adjoint SQCD
N = 1ffff
N = 1 adjoint
SQCD N = 0ffff
u
cf. [D.Kutasov, A.Parnachev, D.Sahakyan][K.Intriligator, B.Wecht]
:
4d N = 1UV
2d N = (0,2)
adjoint SQCD
SU(2) vector,
g+1 adjoint chirals, g adjoint Fermi,:
N = 1ffff
N = 1 adjoint
SQCD N = 0ffff
u
4d N = 1UV
2d N = (0,2) 2d N = (2,2)
The Witten index of 2d N = (2,2) theoryobtained from reduction of
Argyres-Douglas theory(A ,A )1 3
(A ,A )1 2
(A ,A )1 3
(A ,A )1 2
(A ,A )1 3
[L.Fredrickson, D.Pei, W.Yan, K.Ye]
x