Chiral Rings, Anomalies and Electric-Magnetic Duality

Mazzucato, Luca

doi:10.1088/1126-6708/2004/11/020

Cited by 4 publications

(8 citation statements)

References 24 publications

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“…If we start with the odd coupling, on the contrary, we can do the job and then, when flowing to the even case, this equation is still valid, by just setting t n = 1 and keeping the marginal coupling t n ′ . 10 The analogous computation in the offshell chiral ring gives the following 3 2 n + 3 nontrivial operators TrW 2 α X j for j = 0, . .…”

Section: Truncation Of the Chiral Ringmentioning

confidence: 94%

“…In Section 7 we generalize this duality to the theory with the confining phase superpotential (1.4), in which case we have one as well as two dimensional pseudoconfining vacua. We will find the classical duality map, in the spirit of KSS, and, in a simple case, also the map in the quantum theory, following [10].…”

Section: Outline Of the Papermentioning

confidence: 99%

“…In this case, we will be able to give the duality map in the quantum theory between the electric and magnetic couplings and quantum deformation. As a consistency check, we reobtain the duality map which was found in [10].…”

Section: The Magnetic Dualmentioning

confidence: 99%

“…The anomaly equations for the resolvents R X (x) and R Y (y) are the same as in the electric theory, (3.1) and (7.19). We want to solve for the singlets in the magnetic theory, following the method in [10]. where f (y) = 8 λ t2 1 ( β F 0 + λ F 2 + λy t1 S + λy 2 F 0 ) is the quantum deformation of R Y (y) and F k are the quantum deformations of R X (x), the magnetic version of (3.2).…”

Section: 23)mentioning

confidence: 99%

“…Moreover, a Seiberg dual theory to this quiver with fundamentals has been discussed in [17]. It would be nice to see the dual description of the electric branches on the DV curve, which is the same for both dual pairs, along the lines of [10].…”

Section: Further Directionsmentioning

confidence: 99%

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Remarks on the analytic structure of supersymmetric effective actions

Mazzucato

2005

J. High Energy Phys.

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Via Beirut 2 -4, 34014 Trieste, and INFN, sez. di Trieste, ItalyWe study the effective superpotential of N = 1 supersymmetric gauge theories with a mass gap, whose analytic properties are encoded in an algebraic curve. We propose that the degree of the curve equals the number of semiclassical branches of the gauge theory. This is true for supersymmetric QCD with one adjoint and polynomial superpotential, where the two sheets of its hyperelliptic curve correspond to the gauge theory pseudoconfining and higgs branches. We verify this proposal in the new case of supersymmetric QCD with two adjoints and superpotential V (X) + XY 2 , which is the confining phase deformation of the D n+2 SCFT. This theory has three kinds of classical vacua and its curve is cubic. Each of the three sheets of the curve corresponds to one of the three semiclassical branches of the gauge theory. We show that one can continuously interpolate between these branches by varying the couplings along the moduli space.August 2005

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Section: Truncation Of the Chiral Ringmentioning

confidence: 94%

Section: Outline Of the Papermentioning

confidence: 99%

Section: The Magnetic Dualmentioning

confidence: 99%

Section: 23)mentioning

confidence: 99%

Section: Further Directionsmentioning

confidence: 99%

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Remarks on the analytic structure of supersymmetric effective actions

Mazzucato

2005

J. High Energy Phys.

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Kutasov-Seiberg dualities and cyclotomic polynomials

Bajc

2019

J. High Energ. Phys.

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We classify all Kutasov-Seiberg type dualities in large N c SQCD with adjoints of rational R-charges. This is done by equating the superconformal index of the electric and magnetic theories: the obtained equation has a solution each time some product of cyclotomic polynomials has only positive coefficients. In this way we easily reproduce without any reference to the superpotential or the choice of the equations of motion (classical chiral ring) all the known dualities from the literature, while adding to them a new family with two adjoints with R charges 2 2k+1 and 2(k+1) 2k+1 for all integers k > 1. We argue that these new fixed points could be in their appropriate conformal windows and in some range of the Yukawas involved a low energy limit of the D 2k+2 fixed point. We try to clarify some issues connected to the difference between classical and quantum chiral ring of this new solution.1 borut.bajc@ijs.si

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Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

2006

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We study vacuum structure of N = 1 supersymmetric quiver gauge theories which can be realized geometrically by D brane probes wrapping cycles of local Calabi-Yau threefolds. In particular, we show that the A 2 quiver theory with gauge group U (N 1 ) × U (N 2 ) with 1 2 N 1 < N 2 < 2 3 N 1 has a regime with an infrared free description that is partially magnetic and partially electric. Using this dual description, we show that the model has a landscape of inequivalent meta-stable vacua where supersymmetry is dynamically broken and all the moduli are stabilized. Each vacuum has distinct unbroken gauge symmetry. The gaugino masses are generated by radiative corrections, and we are left with the bosonic pure Yang-Mills theory in the infrared. We also identify the supersymmetric vacua in this model using their infrared free descriptions and show that the decay rates of the supersymmetry breaking vacua can be made parametrically small.

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Chiral Rings, Anomalies and Electric-Magnetic Duality

Cited by 4 publications

References 24 publications

Remarks on the analytic structure of supersymmetric effective actions

Remarks on the analytic structure of supersymmetric effective actions

Kutasov-Seiberg dualities and cyclotomic polynomials

Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

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