Baryons, monopoles and dualities in Chern-Simons-matter theories
By O. Aharony. 2015
193 citations recorded by the source corpus.
A bstractThere is significant evidence for a duality between (non-supersymmetric) U(N ) Chern-Simons theories at level k coupled to fermions, and U(k) Chern-Simons theories at level N coupled to scalars. Most of the evidence comes from the large N ’t Hooft limit, where many details of the duality (such as whether the gauge group is U(N ) or SU(N ), the precise level of the U(1) factor, and order one shifts in the level) are not important. The main evidence for the validity of the duality at finite N comes from adding masses and flowing to pure Chern-Simons theories related by level-rank duality, and from flowing to the non-supersymmetric duality from supersymmetric dualities, whose finite N validity is well-established. In this note we clarify the implications of these flows for the precise form of the duality; in particular we argue that in its simplest form the duality maps SU(N ) theories to U(k) theories, though there is also another version relating U(N ) to U(k). This precise form strongly affects the mapping under the duality of baryon and monopole operators, and we show, following arguments by Radičević, that their mapping is consistent with our claims. We also discuss the implications of our results for the additional duality between these Chern-Simons matter theories and (the UV completion of) high-spin gravity theories on AdS4. The latter theories should contain heavy particles carrying electric and/or magnetic charges under their U(1) gauge symmetry.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/457e311ae9bf78f63a6e80bda3f0f5cc36b64b7f
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
In Nuclear and High Energy Physics
Citations in the corpus
- Particle-Vortex Duality from 3D Bosonization (2016, background): “eories [28, 29, 30, 31], RG flows [32, 33], operator maps [34] and level-rank dualities [35] results in a consistent picture. These different threads were tied together in a careful analysis by Aharony [23]. Synthesis In this paper, we will need only the Abelian version of the 3d bosonization duality.”
- A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016, unknown): “Ofer Aharony combined all these elements and spelled out three conjectured ChernSimons-matter dualities [33]”
- Chern-Simons-matter dualities with SO and USp gauge groups (2016, methodology): “The very same two theories, viewed as U(1) theories, are also mapped to each other by the U(1) duality of [26,28,27].”
- Comments on global symmetries, anomalies, and duality in (2 + 1)d (2017, background): “In this section we survey various dualities at our disposal [35,38,39,45] and examine in what cases they predict a quantum enhancement of the global symmetry in the IR.”
- Deconfined quantum critical points: symmetries and dualities (2017, background): “[41] Ofer Aharony, “Baryons, monopoles and dualities in chern-simons-matter theories,” Journal of High Energy Physics 2016, 93 (2016).”
- Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions (2017, unknown): “We can also describe this theory in terms of a bosonic dual [12,16]”
- Particle-vortex duality in topological insulators and superconductors (2016, unknown): “This will furnish the necessary tools we need to understand Son’s conjectured equivalence between a massless Dirac fermion understood as the boundary mode of a topological insulator, and the composite fermion of an effective low-energy theory for the half-filled Landau level of a Fermi liquid [18] (”