Holography for (1,0) theories in six dimensions

By D. Gaiotto, A. Tomasiello. 2014

175 citations recorded by the source corpus.

A bstractM-theory and string theory predict the existence of many six-dimensional SCFTs. In particular, type IIA brane constructions involving NS5-, D6- and D8-branes conjecturally give rise to a very large class of N=10$$ \mathcal{N}=\left(1,0\right) $$ CFTs in six dimensions. We point out that these theories sit at the end of RG flows which start from six-dimensional theories which admit an M-theory construction as a M5 stack transverse to ℝ4/ℤk×ℝ$$ {\mathrm{\mathbb{R}}}^4/{\mathrm{\mathbb{Z}}}_k\times \mathrm{\mathbb{R}} $$. The flows are triggered by Higgs branch expectation values and correspond to D6’s opening up into transverse D8-branes via a Nahm pole. We find a precise correspondence between these CFT’s and the AdS7 vacua found in a recent classification in type II theories. Such vacua involve massive IIA regions, and the internal manifold is topologically S3. They are characterized by fluxes for the NS three-form and RR two-form, which can be thought of as the near-horizon version of the NS5’s and D6’s in the brane picture; the D8’s, on the other hand, are still present in the AdS7 solution, in the form of an arbitrary number of concentric shells wrapping round S2’s.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/861b120f9b302bc9d3462caec019340b808d4423

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Tom Rudelius
2. J. Heckman
3. C. Vafa
4. Dan Xie
5. M. Del Zotto
6. D. Gaiotto
7. Shlomo S. Razamat
8. D. Morrison

In Mathematical Physics

1. C. Vafa
2. M. Del Zotto
3. Tom Rudelius
4. J. Heckman
5. Dan Xie
6. D. Gaiotto
7. Shlomo S. Razamat
8. A. Tomasiello

In Nuclear and High Energy Physics

1. C. Vafa
2. Tom Rudelius
3. M. Del Zotto
4. Dan Xie
5. J. Heckman
6. D. Morrison
7. D. Gaiotto
8. A. Tomasiello

Citations in the corpus

• 6d Conformal matter (2014, background): “Separating the NS5s we break superconformal invariance and move onto the tensor branch of the system, eventually landing on a quiver gauge theory (see figure 3) – 12 –”
• Atomic classification of 6D SCFTs (2015, background): “In these cases, it is possible to consider boundary conditions “at infinity” for our configuration [22] (see also [24]).”
• N=1 theories of class S_k (2015, background): “omewhat well understood and have several features in common with the (2;0) theories. Furthermore, RG ows induced by vevs on the Higgs branch of these theories allow one to reach many more (1;0) SCFTs [25]. It should be possible to extend our analysis to D- and E-type singularities, but we will not d”
• Top down approach to 6D SCFTs (2018, background): “y is often referred to as the \E-string theory" because, away from the xed point, it involves strings which enjoy a global E 8 symmetry. As another example (see e.g. [43{45,47] and more recently [31,64]), we can consider M5- branes probing the orbifold singularity C2= for a discrete subgroup of”
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2 (2015, methodology): “This setup should generalize to all models of [20] which correspond to adding Nahm pole boundary conditions in a massive type IIA setup or, equivalently, T -branes in an F theory engineering [21].”
• On the Defect Group of a 6D SCFT (2015, background): “[18,19]).”