The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD

Argyres, Philip C.; Plesser, M. Ronen; Seiberg, Nathan

doi:10.1016/0550-3213(96)00210-6

Cited by 346 publications

(770 citation statements)

References 26 publications

(62 reference statements)

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“…To get the quantum moduli space we need first to understand the quantum moduli for various factors. The quantum theory of U(N i ) with effective massless flavors has been discussed in [73,74,20] and we will not repeat it here. Here we will focus on the quantum moduli of SO(N) 3 with massless flavors discussed in [68,64].…”

Section: The Classical Moduli Space Of So(n C ) Supersymmetric Qcdmentioning

confidence: 99%

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Phases of SO(Nc) gauge theories with flavors

2003

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We studied the phase structures of N = 1 supersymmetric SO(N c ) gauge theory with N f flavors in the vector representation as we deformed the N = 2 supersymmetric QCD by adding the superpotential of arbitrary polynomial for the adjoint chiral scalar field. Using weak and strong coupling analyses, we determined the most general factorization forms for various breaking patterns. We observed all kinds of smooth transitions for quartic superpotential.

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Section: The Classical Moduli Space Of So(n C ) Supersymmetric Qcdmentioning

confidence: 99%

“…On the r-th branch these SeibergWitten curves are factorized as follows, based on the discussion of previous section 3 and [73,20],…”

Section: Quartic Superpotential With Massive Flavorsmentioning

confidence: 99%

Phases of SO(Nc) gauge theories with flavors

2003

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“…The integer K m f =0 precisely corresponds to the r-th branch discussed in [10,13]. The m f = 0 case is different from the m f = 0 case as follows.…”

Section: The Vacuum Structurementioning

confidence: 99%

“…The case of W ′ (−m f ) = 0 was discussed in [10,13] which we will refer to as the classically massless case.…”

Section: The Vacuum Structurementioning

confidence: 99%

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Supersymmetric gauge theories with flavors and matrix models

Ahn¹,

Feng²,

Ookouchi³

et al. 2004

Nuclear Physics B

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We present two results concerning the relation between poles and cuts by using the example of N = 1 U(N c ) gauge theories with matter fields in the adjoint, fundamental and antifundamental representations. The first result is the on-shell possibility of poles, which are associated with flavors and on the second sheet of the Riemann surface, passing through the branch cut and getting to the first sheet. The second result is the generalization of hep-th/0311181 (Intriligator, Kraus, Ryzhov, Shigemori, and Vafa) to include flavors. We clarify when there are closed cuts and how to reproduce the results of the strong coupling analysis by matrix model, by setting the glueball field to zero from the beginning. We also make remarks on the possible stringy explanations of the results and on generalization to SO(N c ) and USp(2N c ) gauge groups.

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Ketov

1999

Fortschr. Phys.

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Exact solutions to the low‐energy effective action (LEEA) of the four‐dimensional N = 2 supersymmetric gauge theories are known to be obtained either by quantum field theory methods from S‐duality in the Seiberg‐Witten approach, or by the Type‐IIA superstring/M‐Theory methods of brane technology. After a brief review of the standard field‐theoretical results for the N = 2 gauge (Seiberg‐Witten) LEEA, we consider a field‐theoretical derivation of the exact hypermultiplet LEEA by using the N = 2 harmonic superspace methods. We illustrate our techniques on a number of explicit examples. Our main purpose, however, is to discuss the existing analytical (calculational) support for the alternative methods of brane technology. We summarize known exact solutions to the eleven‐dimensional and ten‐dimensional type‐IIA supergravities, which describe classical configurations of intersecting BPS branes with eight supercharges relevant to the non‐perturbative N = 2 gauge theory with fundamental hypermultiplet matter. The crucial role of the M‐Theory in providing a classical resolution of singularities in the ten‐dimensional (Type‐IIA superstring) brane picture, as well as the N = 2 extended supersymmetry in four dimensions, are made manifest. The two approaches to a derivation of the exact N = 2 gauge theory LEEA are thus seen to be complementary to each other and mutually dependent.

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The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD

Cited by 346 publications

References 26 publications

Phases of SO(Nc) gauge theories with flavors

Phases of SO(Nc) gauge theories with flavors

Supersymmetric gauge theories with flavors and matrix models

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