Duality in supersymmetric SU(Nc) gauge theory with two adjoint chiral superfields

Brodie, John H.

doi:10.1016/0550-3213(96)00416-6

Cited by 50 publications

(122 citation statements)

References 28 publications

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“…A magnetic dual description of the D k+2 theories was proposed in [18]. We will here discuss and clarify the meaning of this duality.…”

Section: Duality For the D K+2 Theoriesmentioning

confidence: 99%

“…part is related to an example considered in [23,18].). All of the adjoint matter fields get a mass for the generic deforming superpotential (5.8).…”

Section: The Chiral Ring and The Stability Boundmentioning

confidence: 99%

“…6 we discuss a magnetic dual description of the D k+2 SCFTs due to Brodie [18]. We determine the exact superconformal R-charges and central charge a D k+2 (x) in the magnetic dual.…”

Section: Introductionmentioning

confidence: 99%

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RG fixed points and flows in SQCD with adjoints

2004

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We map out and explore the zoo of possible 4d N = 1 superconformal theories which are obtained as RG fixed points of N = 1 SQCD with N f fundamental and N a adjoint matter representations. Using "a-maximization," we obtain exact operator dimensions at all RG fixed points and classify all relevant, Landau-Ginzburg type, adjoint superpotential deformations. Such deformations can be used to RG flow to new SCFTs, which are then similarly analyzed. Remarkably, the resulting 4d SCFT classification coincides with Arnold's ADE singularity classification. The exact superconformal R-charge and the central charge a are computed for all of these theories. RG flows between the different fixed points are analyzed, and all flows are verified to be compatible with the conjectured a-theorem.

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“…A magnetic dual description of the D k+2 theories was proposed in [18]. We will here discuss and clarify the meaning of this duality.…”

Section: Duality For the D K+2 Theoriesmentioning

confidence: 99%

“…part is related to an example considered in [23,18].). All of the adjoint matter fields get a mass for the generic deforming superpotential (5.8).…”

Section: The Chiral Ring and The Stability Boundmentioning

confidence: 99%

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RG fixed points and flows in SQCD with adjoints

2004

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“…We can also write down the classical expressions for the generators (2.11) for this particular solution. The resolvent R(z) vanishes while 20) where m(z) is the electric meson polynomial. Moreover, at large z we find T cl ∼N c /z…”

Section: The Magnetic Theorymentioning

confidence: 99%

“…The adjoint equations of motion set h 1 h 1 = −V ′ (x 1 )/m 2 . In the classical chiral ring the resolvent R(z) vanishes, while the nonvanishing generators are 20) while the solution along the last flavor direction is…”

Section: The Chiral Ringmentioning

confidence: 99%

Chiral Rings, Anomalies and Electric-Magnetic Duality

Mazzucato

2004

J. High Energy Phys.

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We study electric-magnetic duality in the chiral ring of a supersymmetric U (N c ) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for the adjoint and the mesons. We find the magnetic solution corresponding to both the pseudoconfining and higgs electric vacua. By means of the Dijkgraaf-Vafa method, we match the effective glueball superpotentials and show that in some cases duality works exactly offshell. We give also a picture of the analytic structure of the resolvents in the magnetic theory, as we smoothly interpolate between different higgs vacua on the electric side.

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Strings, Branes and Extra Dimensions

Förste

2002

Fortschr. Phys.

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This review is devoted to strings and branes. Firstly, perturbative string theory is introduced. The appearance of various types of branes is discussed. These include orbifold fixed planes, D-branes and orientifold planes. The connection to BPS vacua of supergravity is presented afterwards. As applications, we outline the role of branes in string dualities, field theory dualities, the AdS/CFT correspondence and scenarios where the string scale is at a TeV. Some issues of warped compactifications are also addressed. These comprise corrections to gravitational interactions as well as the cosmological constant problem. observation results in the AdS/CFT correspondence. We present in some detail, how the AdS/CFT correspondence can be employed to compute Wilson loops in strongly coupled gauge theories. An application which is of phenomenological interest is the fact that D-branes allow to construct models in which the string scale is of the order of a TeV. If such models are realized in nature, they should be discovered experimentally in the near future.Chapter 5 is somewhat disconnected from the rest of these notes since it considers brane models which are not directly constructed from strings. Postulating the existence of branes on which certain interactions are localized, we present the construction of models in which the space transverse to the brane is curved. We discuss how an observer on a brane experiences gravitational interactions. We also make contact to the AdS/CFT conjecture for a certain model. Also other questions of phenomenological relevance are addressed. These are the hierarchy problem and the problem of the cosmological constant. We show how these problems are modified in models containing 15 We use here the previous result that we need to have d = 10 in order to preserve target space Lorentz invariance. 16 In this notation we suppress the eigenvalue k µ of the bosonic zero modes.

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Duality in supersymmetric SU(Nc) gauge theory with two adjoint chiral superfields

Abstract: We discuss SU (N c ) gauge theory coupled to two adjoint chiral superfields X and Y , and

Cited by 50 publications

References 28 publications

RG fixed points and flows in SQCD with adjoints

RG fixed points and flows in SQCD with adjoints

Chiral Rings, Anomalies and Electric-Magnetic Duality

Strings, Branes and Extra Dimensions

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