Duals for SU(N) SUSY Gauge Theories with an Antisymmetric Tensor: Five Easy Flavors Page: 4 of 16
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SU(Nc) SU(5) SU(N + 1) U(1)R U(1)X U(1)y
q 1 16 1 -1
q o 1 Q Nc+6 -1 -1
A B 1 O Nc-4 Nc+6
A [ 1 1 0 N-2 N-2
Table 1: Field content of the theory.
no superpotential. The case Nc odd with no superpotential has been discussed by
Pouliot  (see also ref. ).
I can replace the antisymmetric tensor by a composite "meson" operator of a
confining Sp(2N - 2) group:
Aab aa xbb' Ja'b, (2.1)
where a, b are SU(2N) indices and a', b' are Sp(2N - 2) indices and Jab6, is the invari-
ant tensor. I must also introduce additional fields that transform under Sp(2N - 2)
and add terms to the superpotential in the deconfined description. The matter con-
tent of the model that accomplishes this is displayed in Table 2.
SU(N) Sp(D) SU(2)f SU(5) SU(C) U(1)R U(1)X U(1)y
q Q 1 1 Q 1 N+3 1 -1
q D 1 1 1 E+ -1 -1
x Q n 1 1 1 0 N-2 N+3
p Q 1 Q 1 1 1 N-2 N+3
r 1 E l 1 1 1 -N(N-2) -N(N+3)
1 1 1 1 1 0 N(N-2) N(N+3)
Table 2: Field content of the "deconfined" theory, where
D = 2N - 2, and C = 2N +1.
The superpotential in the "deconfined" description is
W = xrp + rrs. (2.2)
(I have set the coefficients of the superpotential to 1 by resealing the fields.) The
purpose of the superpotential is to remove the unwanted "meson" states (xr) and
(rr) that appear when the Sp(2N - 2) group confines. These two "mesons" get
masses with p and s respectively. Note that, as discussed in ref. , gauge anomaly
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Terning, John. Duals for SU(N) SUSY Gauge Theories with an Antisymmetric Tensor: Five Easy Flavors, article, December 16, 1997; Berkeley, California. (https://digital.library.unt.edu/ark:/67531/metadc933660/m1/4/: accessed April 26, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.