Correlators of large N fermionic Chern-Simons vector models
By Guy Gur-Ari, Ran Yacoby. 2012
137 citations recorded by the source corpus.
A bstractWe consider the large N limit of three-dimensional U(N)k Chern-Simons theory coupled to a Dirac fermion in the fundamental representation. In this limit, we compute several correlators to all orders in the ‘t Hooft coupling λ ≡ N/k. It was suggested recently that this theory is dual to the Legendre-transformed theory of scalar fields coupled to Chern-Simons gauge interactions. Our results show that this duality holds for any value of the ‘t Hooft coupling, at least at the level of the planar 3-point functions. In addition, we determine the sign in the duality transformation of the Chern-Simons level, as well as the relation between the “triple-trace” deformation which exists in the bosonic Chern-Simons theory and in the Legendre-transformed fermionic theory.
Subfields: Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7a825bb9c0cba53e2bf87170d1bfcde6bd7c5dc3
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Citations in the corpus
- One loop tests of higher spin AdS/CFT (2013, background): “However, in these theories the bulk coupling constant GN is also expected to be a function of the ’t Hooft coupling of the form G−1 N ∼ N sinπλ πλ , in order to match the λ dependence of the 2-point function of the stress tensor (and higher spin currents) in the CFT [39,40].”
- The thermal free energy in large N Chern-Simons-matter theories (2012, methodology): “It is easy to generalize the computations of planar correlators of integer spin operators, performed in [5, 6], to this theory.”
- Baryons, monopoles and dualities in Chern-Simons-matter theories (2015, unknown): “Various quantities were computed exactly as a function of this ’t Hooft coupling in the large N limit of these non-supersymmetric field theories [24, 3, 25, 26, 27, 28, 29, 10, 30, 31, 32, 33, 34, 35, 20, 22, 36], and were all found to be consistent with the duality.”