Holographic Duals of Argyres-Douglas Theories.

Ibrahima Bah,Emily Nardoni,Federico Bonetti,Ruben Minasian

doi:10.1103/physrevlett.127.211601

Abstract

We propose the first explicit holographic duals for a class of superconformal field theories of Argyres-Douglas type, which are inherently strongly coupled and provide a window onto remarkable nonperturbative phenomena (such as mutually nonlocal massless dyons and relevant operators of fractional dimension). The theories under examination are realized by a stack of M5-branes wrapped on a sphere with one irregular puncture and one regular puncture. In the dual 11d supergravity solutions, the irregular puncture is realized as an internal M5-brane source.

Highlights

Published by the American Physical SocietyWhere m is a mass scale, ds2AdS5 is the metric on the unitradius AdS5, and ds2S2 is the metric on the unit-radius S2
We propose the first explicit holographic duals for a class of superconformal field theories of ArgyresDouglas type, which are inherently strongly coupled and provide a window onto remarkable nonperturbative phenomena
In the dual 11d supergravity solutions, the irregular puncture is realized as an internal M5-brane source

Summary

Published by the American Physical Society

Where m is a mass scale, ds2AdS5 is the metric on the unitradius AdS5, and ds2S2 is the metric on the unit-radius S2. Regularity and flux quantization.—As we approach a point in the interior of the P1P2 segment in the ðw; μÞ plane (see Fig. 1), the S2 shrinks smoothly. The linear combination ∂φ þ l∂z shrinks smoothly along P2P3, where l is given as l 1⁄4 pffiffi1ffiffiffiffiffiffiffiffiffiffiffi ; l ∈ N: ð6Þ. The quantization of l stems from analyzing the local geometry of the 4d space spanned by w, μ, φ, z near P3, and requiring it to be locally an orbifold R4=Zl. The internal space M6 admits nontrivial four cycles which lead to flux quantization conditions for G4. We define the four-cycle B4 by combining S2, the segment P2P3, and the linear combination of S1φ and S1z that does not shrink in the interior of P2P3. We construct the four-cycle D4 by combining P3P4 with S2—which shrinks at P4—and the combination of S1φ and S1z that does not shrink in the interior of P3P4. We interpret this in terms of a smeared M5-brane source, as inferred from G4 near w 1⁄4 0,

Dφ þ

Nl þ Kl z

NKl N þ Kl

2NKl N þ Kl