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Baryons, monopoles and dualities in Chern-Simons-matter theories · Around

2015

Baryons, monopoles and dualities in Chern-Simons-matter theories

Aharony, Ofer

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There 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).

Built on

T. T. Wu and C. N. Yang, Dirac Monopole Without Strings: Monopole Harmonics
1976
Earlier work this paper cites.
S. G. Naculich, H. A. Riggs and H. J. Schnitzer, Group Level Duality in WZW Models and Chern-Simons Theory
1990
Earlier work this paper cites.
M. Camperi, F. Levstein and G. Zemba, The Large N N Limit of Chern-Simons Gauge Theory
1990
Earlier work this paper cites.
E. J. Mlawer, S. G. Naculich, H. A. Riggs and H. J. Schnitzer, Group level duality of WZW fusion coefficients and Chern-Simons link observables
1991
Earlier work this paper cites.
M. A. Vasiliev, More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions
1992
Earlier work this paper cites.
T. Nakanishi and A. Tsuchiya, Level rank duality of WZW models in conformal field theory
1992
Earlier work this paper cites.
W. Chen, G. W. Semenoff and Y.-S. Wu, Two loop analysis of nonAbelian Chern-Simons theory
1992
Earlier work this paper cites.
I. Klebanov and A. Polyakov, AdS dual of the critical O(N) vector model
2002
Earlier work this paper cites.
E. Sezgin and P. Sundell, Holography in 4D (super) higher spin theories and a test via cubic scalar couplings
2005
Earlier work this paper cites.
C. Romelsberger, Counting chiral primaries in N = 1, d=4 superconformal field theories
2006
Earlier work this paper cites.
S. G. Naculich and H. J. Schnitzer, Level-rank duality of the U(N) WZW model, Chern-Simons theory, and 2-D qYM theory
2007
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla and S. Raju, An Index for 4 dimensional super conformal theories
2007
Earlier work this paper cites.
J. Bhattacharya, S. Bhattacharyya, S. Minwalla and S. Raju, Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
Original
2008
Earlier work this paper cites.

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