Comments on global symmetries, anomalies, and duality in (2 + 1)d

By F. Benini, Po-Shen Hsin, N. Seiberg. Journal of High Energy Physics, 2017

146 citations recorded by the source corpus.

We analyze in detail the global symmetries of various (2 + 1)d quantum field theories and couple them to classical background gauge fields. A proper identification of the global symmetries allows us to consider all non-trivial bundles of those background fields, thus finding more subtle observables. The global symmetries exhibit interesting ’t Hooft anomalies. These allow us to constrain the IR behavior of the theories and provide powerful constraints on conjectured dualities.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e7507f2bc6c01af6a9382fd9d120b542d2dad2c4

How researchers see this paper

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

In Mathematical Physics

1. T. Nishioka
2. F. Benini
3. N. Seiberg
4. Clay Córdova
5. Z. Komargodski
6. Po-Shen Hsin
7. Adar Sharon
8. Ho Tat Lam

In Nuclear and High Energy Physics

1. Clay Córdova
2. N. Seiberg
3. F. Benini
4. Po-Shen Hsin
5. Ho Tat Lam
6. T. Nishioka
7. Z. Komargodski
8. D. Freed

In Statistical and Nonlinear Physics

1. N. Seiberg
2. Clay Córdova
3. F. Benini
4. T. Nishioka
5. Po-Shen Hsin
6. Z. Komargodski
7. Ho Tat Lam
8. D. Freed

Citations in the corpus

• Deconfined quantum critical points: symmetries and dualities (2017, unknown): “[56] while this paper was in preparation.”
• On 2-group global symmetries and their anomalies (2018, background): “Because of the non-trivial PSO(Nf) flavor bundle, also the bundle for the dynamical gauge field is forced to be a non-trivial PSO(N)-bundle, as the second Stiefel-Whitney classes of the two bundles are constrained to be the same [50].”
• Comments on abelian Higgs models and persistent order (2017, background): “We see that if we ignore the charge conjugation anomaly and assume the SO(2) symmetry is preserved, we find the term written in [24].”
• Entanglement entropy: Holography and renormalization group (2018, methodology): “Section IV takes an alternative approach that employs the so-called replica trick to reduce the calculation of the 1 A recent study of QED3 with Nf = 1 shows the global symmetry is enhanced to O(4) that indicates Ncrit ≤ 1 (Benini et al., 2017).”
• Anomalies in the space of coupling constants and their dynamical applications II (2019, background): “Our analysis extends the recent results about interfaces in 4d QCD in [26] and explains the relation between them and the earlier results about anomalies in 3d Chern-Simons-matter theory in [15].”
• Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions (2017, unknown): “Here, following [23], these twisted bundles will lead to anomalies involving ordinary global symmetries.”