Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories

By Oscar Chacaltana, J. Distler, Yuji Tachikawa. 2012

246 citations recorded by the source corpus.

We study the local properties of a class of codimension-2 defects of the 6d N=(2,0) theories of type J=A,D,E labeled by nilpotent orbits of a Lie algebra \mathfrak{g}, where \mathfrak{g} is determined by J and the outer-automorphism twist around the defect. This class is a natural generalisation of the defects of the 6d theory of type SU(N) labeled by a Young diagram with N boxes. For any of these defects, we determine its contribution to the dimension of the Higgs branch, to the Coulomb branch operators and their scaling dimensions, to the 4d central charges a and c, and to the flavour central charge k.

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

View Paper: https://www.semanticscholar.org/paper/882155eef5748866d7011af86e7094436a069bdd

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

In Mathematical Physics

1. M. Del Zotto
2. D. Gaiotto
3. C. Vafa
4. L. Rastelli
5. Tom Rudelius
6. Dan Xie
7. J. Heckman
8. Yuji Tachikawa

In Nuclear and High Energy Physics

1. Dan Xie
2. L. Rastelli
3. D. Gaiotto
4. Tom Rudelius
5. C. Vafa
6. J. Heckman
7. M. Del Zotto
8. Yuji Tachikawa

Citations in the corpus

• 6d Conformal matter (2014, background): “[50]), and was actually already considered in the physics literature in the related context of class S theories in four dimensions; see for example [51, 52].”
• N=2 Supersymmetric Dynamics for Pedestrians (2013, background): “Possible types of tame punctures for any type are classified, see [121].”
• Top down approach to 6D SCFTs (2018, background): “s extends to the g = D n and g = E n cases as well. On the homomorphism side, the full web of orderings is well known, and it is encoded in a diagram called the \Hasse diagram" (see for instance [162]). This Hasse diagram therefore encodes the web of RG ows from the perspective of 6D SCFTs. It ”
• The N=2$$ \mathcal{N}=2 $$ superconformal bootstrap (2014, background): “the bulk. There is in fact a natural set of defects that preserves N= 2 superconformal invariance in four dimensions, namely the codimension two defects in the six-dimensional (2;0) SCFTs (see, e.g., [113] and references therein). For a (2;0) theory of type g 2fAn;Dn;Eng, the possible defects are la”
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2 (2015, methodology): “The central charges for this 4d theory can be computed using the methods of [68], and we obtain:”
• Bootstrapping the superconformal index with surface defects (2012, background): “ are labeled by a simply-laced Lie algebra g. An important class of codimension-two (to be contrasted with codimension-four) superconformal defects is labeled by an embedding ˆof su(2) in g, see e.g. [74, 76]. The properties of these defects can be motivated, for example, upon compactication on a ci”