TY - JOUR

T1 - N=1 duality in the chiral limit from N=2 duality

AU - Shifman, M.

AU - Yung, A.

N1 - Publisher Copyright:
© 2014 American Physical Society.

PY - 2014/9/11

Y1 - 2014/9/11

N2 - We study a deformation of N=2 supersymmetric QCD with a U(N) gauge group and Nf number of quark flavors induced by the mass term μ for the adjoint matter which breaks supersymmetry down to N=1 QCD. Recently this deformation was shown to lead to a weakly coupled dual theory only in two particular sets of vacua: the r=N vacuum and the so-called zero vacua which can be found at r<Nf-N, where r is the number of condensed quarks. For small quark masses and intermediate values of μ, the gauge group of the dual theory is U(Nf-N)×U(1)2N-Nf, where the Abelian sector is heavy and can be integrated out. However, at larger values of μ, the Abelian sector enters the strong coupling regime. We show that the 't Hooft matching conditions in the chiral limit require the Seiberg neutral meson field M from this sector to become light. In the r=N vacuum, M is constructed of a monopole and an antimonopole connected by confining magnetic strings, while in the zero vacua, it is built of a quark and antiquark connected by confining electric strings.

AB - We study a deformation of N=2 supersymmetric QCD with a U(N) gauge group and Nf number of quark flavors induced by the mass term μ for the adjoint matter which breaks supersymmetry down to N=1 QCD. Recently this deformation was shown to lead to a weakly coupled dual theory only in two particular sets of vacua: the r=N vacuum and the so-called zero vacua which can be found at r<Nf-N, where r is the number of condensed quarks. For small quark masses and intermediate values of μ, the gauge group of the dual theory is U(Nf-N)×U(1)2N-Nf, where the Abelian sector is heavy and can be integrated out. However, at larger values of μ, the Abelian sector enters the strong coupling regime. We show that the 't Hooft matching conditions in the chiral limit require the Seiberg neutral meson field M from this sector to become light. In the r=N vacuum, M is constructed of a monopole and an antimonopole connected by confining magnetic strings, while in the zero vacua, it is built of a quark and antiquark connected by confining electric strings.

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U2 - 10.1103/PhysRevD.90.065014

DO - 10.1103/PhysRevD.90.065014

M3 - Article

AN - SCOPUS:84985995690

VL - 90

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 6

M1 - 065014

ER -