Anomaly polynomial of general 6D SCFTs

By K. Ohmori, Hiroyuki Shimizu, Yuji Tachikawa, Kazuya Yonekura. 2014

230 citations recorded by the source corpus.

We describe a method to determine the anomaly polynomials of general 6d N=(2,0) and N=(1,0) SCFTs, in terms of the anomaly matching on their tensor branches. This method is almost purely field theoretical, and can be applied to all known 6d SCFTs. We demonstrate our method in many concrete examples, including N=(2,0) theories of arbitrary type and the theories on M5 branes on ALE singularities, reproducing the N 3 behavior. We check the results against the anomaly polynomials computed M-theoretically via the anomaly inflow.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b78101d173f13af2f027df2c63013e935d3a5957

How researchers see this paper

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

In Astronomy and Astrophysics

1. Tom Rudelius
2. J. Heckman
3. K. Intriligator
4. Clay Córdova
5. T. Dumitrescu
6. A. Tomasiello
7. C. Vafa
8. Eran Palti

In Nuclear and High Energy Physics

1. Tom Rudelius
2. C. Vafa
3. J. Heckman
4. Clay Córdova
5. M. Del Zotto
6. K. Intriligator
7. T. Dumitrescu
8. A. Tomasiello

In Statistical and Nonlinear Physics

1. Tom Rudelius
2. J. Heckman
3. Clay Córdova
4. M. Del Zotto
5. A. Tomasiello
6. K. Intriligator
7. C. Vafa
8. T. Dumitrescu

Citations in the corpus

• Top down approach to 6D SCFTs (2018, methodology): “term of 11d supergravity. Building on the previous work of [146,147], the authors of [145] determined I inf and used this to compute IQM5s. An alternative method of computation was later developed in [79]. The authors considered the compactication of a 6D SCFT to 5D, under which the 5D theory acquir”
• The (2, 0) superconformal bootstrap (2015, unknown): “First obtained for the An andDn theories by anomaly inflow arguments in M theory [10–14], the anomaly polynomial can also be reproduced by purely field-theoretic reasoning [15,16], relying only on properties (i) and (ii).”
• 6d Conformal matter (2014, background): “The physical interpretation of the sp1 gauge symmetry was presented in reference [36], after the present work first appeared.”
• Exploring 2-group global symmetries (2018, methodology): “In [4], we use these observations to justify the prescription of [39] for extracting the ’t Hooft anomalies of an SCFT from the low-energy theory on its tensor branch (if such a branch exists).”