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Chern-Simons-Fermion Vector Model with Chemical Potential · Around

2012

Chern-Simons-Fermion Vector Model with Chemical Potential

Yokoyama, Shuichi

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We study SU(N) level k Chern-Simons theories coupling to a fundamental fermion with chemical potential for U(1) flavor symmetry.

We solve this system exactly in the 't Hooft limit, N,k\to\infty with \lambda = N/k fixed.
The solution exists up to |\lambda|=1 for a fixed value of chemical potential.
We study the system beyond |\lambda|=1 by considering U(N) gauge group and taking the diagonal U(1) holonomy into account.

Built on

M. A. Vasiliev, “Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions,” Phys.Lett
1990
Earlier work this paper cites.
I. Klebanov and A. Polyakov, “AdS dual of the critical O(N) vector model,” Phys.Lett
2002
Earlier work this paper cites.
E. Sezgin and P. Sundell, “Massless higher spins and holography,” Nucl.Phys
2002
Earlier work this paper cites.

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Then

S. Giombi and X. Yin, “Higher Spins in AdS and Twistorial Holography,” JHEP
Original
2011
Later among the works it cites.
O. Aharony, G. Gur-Ari, and R. Yacoby, “d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories,” JHEP
Original
2012
Closest in time.

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