Wess-Zumino Terms in Supersymmetric Gauge Theories

Manohar, Aneesh V.

doi:10.1103/physrevlett.81.1558

Cited by 14 publications

(30 citation statements)

References 18 publications

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“…It matches with the original expression given by Manohar [21] up to an overall sign within the coordinate parametrization (17). symmetric about the midpoint where α ¼ π=2.…”

Section: Dynamics Of 1-wall Modulisupporting

confidence: 71%

“…. In this paper, we first consider the extension of this picture due to the presence of a bulk Wess-Zumino term in the chiral theory describing meson and baryon fields [21,22]. For the simplest case of gauge group SU(2), i.e., N ¼ 2, we show that the presence of this term leads to a parity-odd Hopf term in the moduli space Lagrangian for the CP 1 sigma model.…”

Section: N : ð1þmentioning

confidence: 99%

“…The relevant Wess-Zumino term was first written down for gauge group SUð2Þ with N f ¼ 2 by Manohar [21], with an extension to gauge group SUðNÞ proposed in [22],…”

Section: Dynamics Of 1-wall Modulimentioning

confidence: 99%

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Domain wall moduli in softly-broken SQCD at θ¯=π

Ritz

Shukla

2018

Phys. Rev. D

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We analyze the moduli space dynamics of domain walls in SUðNÞ QCD atθ ¼ π, by softly breaking N ¼ 1 SQCD with sfermion mixing. In the supersymmetric limit, BPS domain walls between neighboring vacua are known to possess nontranslational flavor moduli that form a CP N−1 sigma model. For the simplest case with gauge group SUð2Þ and N f ¼ 2, we show that this sigma model also exhibits a Hopf term descending from the bulk Wess-Zumino term with a quantized coefficient. On soft-breaking of supersymmetry via sfermion mixing that preserves the flavor symmetry, these walls and their moduli-space dynamics survives whenθ ¼ π so that there are two degenerate vacua.

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“…It matches with the original expression given by Manohar [21] up to an overall sign within the coordinate parametrization (17). symmetric about the midpoint where α ¼ π=2.…”

Section: Dynamics Of 1-wall Modulisupporting

confidence: 71%

Section: N : ð1þmentioning

confidence: 99%

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Domain wall moduli in softly-broken SQCD at θ¯=π

Ritz

Shukla

2018

Phys. Rev. D

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“…The matter fields here have R micro (X) = 0, compatible with the quantum modified constraint [37], which removes the origin from the moduli space. The low-energy theory on the smooth moduli space is an IR-free theory of the constrained moduli fields M (with a WZ term to account for 't Hooft anomaly matching of the global symmetries [38]), so a IR (M) = 2 9 dim C M. Moving on the moduli space has ∆a = 0, so X can be regarded as "marginal." Different points on the moduli space can nevertheless be physically distinguished, by their different massive spectrum and different IR unbroken global symmetries.…”

Section: Higgsing Q : When Can It Be Irrelevant / Marginal?mentioning

confidence: 99%

Δa curiosities in some 4d susy RG flows

Amariti

Intriligator

2012

J. High Energ. Phys.

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We explore some curiosities in 4d susy RG flows. One issue is that the compelling candidate a-function, from a-maximization with Lagrange multipliers, has a 'strange branch," with reversed RG flow properties, monotonically increasing instead of decreasing. The branch flip to the strange branch occurs where a double-trace deformation ∆W = O 2 passes through marginality, reminiscent of the condition for the chiral symmetry breaking, out of the conformal window transition in non-susy gauge theories. The second issue arises from Higgsing vevs for IR-free fields, which sometimes superficially violate the a-theorem. The resolution is that some vevs trigger marginal or irrelevant interactions, leading to ∆a = 0 and decoupled dilaton on a subspace of the moduli space of vacua. This is contrary to classical intuition about Higgsing. This phenomenon often (but not always) correlates with negative R-charge for the Higgsing chiral operator.

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“…This coefficient coincides with the number of chiral fermions which acquired mass due to the Higgs mechanism and do not show up in the effective theory. The G g variation of such a Wess-Zumino term makes the precisely same contribution to the anomalous current as the missed fermions [48,53].…”

Section: The Origin Of the Wess-zumino Termmentioning

confidence: 98%

The low-energy N = 4 SYM effective action in diverse harmonic superspaces

Buchbinder

Ivanov²,

Samsonov

2017

Phys. Part. Nuclei

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We review various superspace approaches to the description of the low-energy effective action in N = 4 super Yang-Mills (SYM) theory. We consider the four-derivative part of the low-energy effective action in the Coulomb branch. The typical components of this effective action are the gauge field F 4 /X 4 and the scalar field Wess-Zumino terms. We construct N = 4 supersymmetric completions of these terms in the framework of different harmonic superspaces supporting N = 2, 3, 4 supersymmetries. These approaches are complementary to each other in the sense that they make manifest different subgroups of the total SU(4) R-symmetry group. We show that the effective action acquires an extremely simple form in those superspaces which manifest the non-anomalous maximal subgroups of SU(4). The common characteristic feature of our construction is that we restore the superfield effective actions exclusively by employing the N = 4 supersymmetry and/or superconformal P SU(2, 2|4) symmetry.

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Wess-Zumino Terms in Supersymmetric Gauge Theories

Cited by 14 publications

References 18 publications

Domain wall moduli in softly-broken SQCD at θ¯=π

Domain wall moduli in softly-broken SQCD at θ¯=π

Δa curiosities in some 4d susy RG flows

The low-energy N = 4 SYM effective action in diverse harmonic superspaces

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