String Theory Seminars
A test of bosonization at the level of four-point functions in Chern-Simons vector models (The Quantum Spacetime Seminar series)
by Dr. Shiroman Prakash (Dayalbagh Educational Institute, Agra)
Monday, October 19, 2015
from
to
(Asia/Kolkata)
at A304
at A304
Description |
We study four-point functions in Chern-Simons vector models in the large N limit. We compute the four-point function of the scalar primary to all orders in the `t Hooft coupling λ=N/k in U(N)k Chern-Simons theory coupled to a fundamental fermion, in both the critical and non-critical theory, for a particular case of the external momenta. These theories cover the entire 3-parameter "quasi-boson" and 2-parameter "quasi-fermion" families of 3-dimensional quantum field theories with a slightly-broken higher spin symmetry. Our results are consistent with the celebrated bosonization duality, as we explicitly verify by calculating four-point functions in the free critical and non-critical bosonic theories. |
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