Asset Details
Do you wish to reserve the book?
Chern–Simons theory with vector fermion matter
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Chern–Simons theory with vector fermion matter
Do you wish to request the book?
Chern–Simons theory with vector fermion matter
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Chern–Simons theory with vector fermion matter
2012
Overview
We study three-dimensional conformal field theories described by
U
(
N
) Chern–Simons theory at level
k
coupled to massless fermions in the fundamental representation. By solving a Schwinger–Dyson equation in light-cone gauge, we compute the exact planar free energy of the theory at finite temperature on ℝ
2
as a function of the ’t Hooft coupling
λ
=
N
/
k
. Employing a dimensional reduction regularization scheme, we find that the free energy vanishes at |
λ
|=1; the conformal theory does not exist for |
λ
|>1. We analyze the operator spectrum via the anomalous conservation relation for higher spin currents, and in particular show that the higher spin currents do not develop anomalous dimensions at leading order in 1/
N
. We present an integral equation whose solution in principle determines all correlators of these currents at leading order in 1/
N
and present explicit perturbative results for all three-point functions up to two loops. We also discuss a light-cone Hamiltonian formulation of this theory where a
W
∞
algebra arises. The maximally supersymmetric version of our theory is ABJ model with one gauge group taken to be
U
(1), demonstrating that a pure higher spin gauge theory arises as a limit of string theory.
Publisher
Springer-Verlag,Springer,Springer Nature B.V
